Distributions of $S_{\mathrm{ML}}$ for data, simulated background and signal events with $n_{\mathrm{track}}$ of 4. The distributions are shown for split-SUSY signals with a gluino mass of 2000 GeV and neutralino mass of 1800 GeV. Different gluino proper decay lengths are shown as $c\tau$ in the legend. All distributions are normalized to unity.

Distributions of $S_{\mathrm{ML}}$ for data, simulated background and signal events with $n_{\mathrm{track}}$ of $\geq$ 5. The distributions are shown for split-SUSY signals with a gluino mass of 2000 GeV and neutralino mass of 1900 GeV. Different gluino proper decay lengths are shown as $c\tau$ in the legend. All distributions are normalized to unity.

Distributions of $S_{\mathrm{ML}}$ for data, simulated background and signal events with $n_{\mathrm{track}}$ of $\geq$ 5. The distributions are shown for split-SUSY signals with a gluino mass of 2000 GeV and neutralino mass of 1800 GeV. Different gluino proper decay lengths are shown as $c\tau$ in the legend. All distributions are normalized to unity.

The distribution of $n_{\mathrm{track}}$ in different $S_{\mathrm{ML}}$ regions for simulated background events. Events with 0 $ < S_{\mathrm{ML}} < $ 0.2 (blue), 0.2 $ < S_{\mathrm{ML}} < $ 0.6 (red), and 0.6 $ < S_{\mathrm{ML}} < $ 1.0 (green) are compared. All distributions are normalized to unity. The similar $n_{\mathrm{track}}$ distributions demonstrate that $n_{\mathrm{track}}$ and $S_{\mathrm{ML}}$ are decorrelated.

The distribution of $d_{\mathrm{BV}}$ in $K_{\mathrm{S}}^{\mathrm{0}}$ vertices in data (black) and simulation (purple). The lower panel shows the ratio between data and simulation.

The vertex reconstruction efficiency for artificially displaced vertices in data (black) and simulation (red). In this example, the artificially displaced vertices are corrected to mimic split-SUSY signal events with gluino mass of 2000 GeV and neutralino mass of 1800 GeV.

The ML tagging efficiency for artificially displaced vertices in data (black) and simulation (red). In this example, the artificially displaced vertices are corrected to mimic split-SUSY signal events with gluino mass of 2000 GeV and neutralino mass of 1800 GeV.

Number of predicted and observed events in the control, validation, and search regions. Predictions are calculated using Eqs. (2) and (3) and fitting the data under the background-only hypothesis. Regions are organized by $S_{\mathrm{ML}}$ and $n_{\mathrm{track}}$ values, and region names corresponding with Fig. 7 are given in parentheses. The predicted number of events that pass the $S_{\mathrm{ML}}$ selection and the observed number of events that pass or fail the $S_{\mathrm{ML}}$ selection are shown in seperate rows.

The 95% CL upper limit on the product of the cross section and branching fraction squared for the split-SUSY signal model with a mass splitting of 100 GeV, shown as a function of gluino mass and $c\tau$. The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the limit plot.

The 95% CL upper limit on the product of the cross section and branching fraction squared for the split-SUSY signal model with a mass splitting of 100 GeV, shown as a function of gluino mass and $c\tau$. The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the limit plot.

The 95% CL upper limit on the product of the cross section and branching fraction squared for the split-SUSY model with a $c\tau$ of 10 mm, shown as a function of gluino mass and mass splitting. The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the limit plot.

The 95% CL upper limit on the product of the cross section and branching fraction squared for the split-SUSY model with a $c\tau$ of 10 mm, shown as a function of gluino mass and mass splitting. The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the limit plot.

The 95% CL upper limit on the product of the cross section and branching fraction squared for the GMSB SUSY signal model, shown as a function of gluino mass and $c\tau$. The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the limit plot.

The 95% CL upper limit on the product of the cross section and branching fraction squared for the GMSB SUSY signal model, shown as a function of gluino mass and $c\tau$. The observed (solid black) and expected (dashed red) exclusion curves are overlaid on the limit plot.

Observed upper limits at 95% CL on B($\text{H} \rightarrow \text{a}_{1}\text{a}_{1}$) in percent, obtained from the combination of the $\mu\mu$bb and $\tau\tau$bb channels. The results are obtained as functions of $m_{\text{a}_{1}}$ for 2HDM+S Type I (independent of tan$\beta$), Type II (tan$\beta$=2.0), Type III (tan$\beta$=2.0), and Type IV (tan$\beta$=0.6), respectively.

The $M_{OSSF}$ spectrum for the combined 2L1T, 2L2T, 3L, 3L1T, and 4L event selection (excluding the $\mathrm{Z\gamma}$ control region) and the combined 2016-2018 data set. All three (four) lepton events are required to have $\mathrm{Q_{\ell}=1 (0)}$. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the statistical uncertainties in the background prediction.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $t\bar{t} \phi$ Scalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $W\phi($ee$)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $t\bar{t} \phi$ Scalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $W\phi($ee$)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $t\bar{t} \phi$ Pseudoscalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $W\phi($ee$)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $t\bar{t} \phi$ Pseudoscalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $W\phi($ee$)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $t\bar{t} \phi$ Pseudoscalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $Z\phi($ee$)$ SR event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Scalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $Z\phi($ee$)$ SR event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Scalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $t\bar{t}\phi($ee$)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Scalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $t\bar{t}\phi($ee$)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Pseudoscalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $t\bar{t}\phi($ee$)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Pseudoscalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $t\bar{t}\phi($ee$)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Pseudoscalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $t\bar{t}\phi($ee$)$ SR3 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Higgs-like with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $t\bar{t}\phi($ee$)$ SR3 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Higgs-like with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $W\phi(\mu\mu)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Higgs-like with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $W\phi(\mu\mu)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Scalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $W\phi(\mu\mu)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Scalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $W\phi(\mu\mu)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Scalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $Z\phi(\mu\mu)$ SR event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Pseudoscalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $Z\phi(\mu\mu)$ SR event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Pseudoscalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $t\bar{t}\phi(\mu\mu)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Pseudoscalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $t\bar{t}\phi(\mu\mu)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Higgs-like with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $t\bar{t}\phi(\mu\mu)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Higgs-like with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $t\bar{t}\phi(\mu\mu)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Higgs-like with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the low mass $t\bar{t}\phi(\mu\mu)$ SR3 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (ee)$ Scalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the high mass $t\bar{t}\phi(\mu\mu)$ SR3 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (\mu\mu)$ Scalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $W\phi(\tau\tau)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (\tau\tau)$ Scalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $Z\phi(\tau\tau)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (ee)$ Pseudoscalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $W\phi(\tau\tau)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (\mu\mu)$ Pseudoscalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $Z\phi(\tau\tau)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (\tau\tau)$ PS with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $W\phi(\tau\tau)$ SR3 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (ee)$ Higgs-like with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $Z\phi(\tau\tau)$ SR3 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (\mu\mu)$ Higgs-like with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $t\bar{t}\phi(\tau\tau)$ SR1 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t\bar{t} \phi (\tau\tau)$ H-like with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $t\bar{t}\phi(\tau\tau)$ SR2 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (ee)$ Scalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $t\bar{t}\phi(\tau\tau)$ SR3 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (\mu\mu)$ Scalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $t\bar{t}\phi(\tau\tau)$ SR4 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (\tau\tau)$ Scalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $t\bar{t}\phi(\tau\tau)$ SR5 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (ee)$ Pseudoscalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $t\bar{t}\phi(\tau\tau)$ SR6 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (\mu\mu)$ Pseudoscalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

Dilepton mass spectra for the $t\bar{t}\phi(\tau\tau)$ SR7 event selections for the combined 2016–2018 data set. The lower panel shows the ratio of observed events to the total expected SM background prediction (Obs/Exp), and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The rightmost bin contains the overflow events in each distribution. The expected background distributions and the uncertainties are shown after the data is fit under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses (in units of GeV) are indicated in the legend. The signals are normalized to the product of the cross section and branching fraction of 10 fb.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (\tau\tau)$ Pseudoscalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with scalar couplings in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (ee)$ Higgs-like with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with pseudoscalar couplings in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (\mu\mu)$ Higgs-like with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with scalar couplings in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi (\tau\tau)$ Higgs-like with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with pseudoscalar couplings in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (ee)$ Scalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with scalar couplings in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (\mu\mu)$ Scalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with pseudoscalar couplings in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (\tau\tau)$ Scalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with scalar couplings in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (ee)$ Pseudoscalar with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with pseudoscalar couplings in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (\mu\mu)$ Pseudoscalar with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with scalar couplings in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (\tau\tau)$ Pseudoscalar with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with pseudoscalar couplings in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (ee)$ Higgs-like with $\phi$ decaying into dielectron pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with scalar couplings in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (\mu\mu)$ Higgs-like with $\phi$ decaying into dimuon pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with pseudoscalar couplings in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Observed and expected upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi (\tau\tau)$ Higgs-like with $\phi$ decaying into ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with H-like production in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $t \bar{t} \phi$ Scalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with H-like production in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $t \bar{t} \phi$ Pseudoscalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with H-like production in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Scalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with H-like production in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Pseudoscalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $W\phi$ signal with H-like production in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $W\phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $W\phi$ Higgs-like with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $Z\phi$ signal with H-like production in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $Z\phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Scalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal with scalar couplings in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Pseudoscalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal with pseudoscalar couplings in the ee decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the signal production cross section and branching fraction of the $Z\phi$ Higgs-like with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding Limit on $\sigma B(ee)$, $\sigma B(\mu\mu)$ and $\sigma B(\tau\tau)$ plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal with scalar couplings in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t \bar{t} \phi$ Scalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal with pseudoscalar couplings in the $\mu\mu$ decay scenario. The vertical gray band indicates the mass region not considered in the analysis. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t \bar{t} \phi$ Pseudoscalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal with scalar couplings in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $t \bar{t} \phi$ H-like with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal with pseudoscalar couplings in the $\tau\tau$ decay scenario. The red line is the theoretical prediction for the product of the production cross section and branching fraction of the $t\bar{t} \phi$ signal.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi$ Scalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on $g^2_{tS}$ for the dilaton-like $t\bar{t} \phi$ signal model. Masses of the $\phi$ boson above 300 GeV are not probed for the dilaton-like signal model as the $\phi$ branching fraction into top quark-antiquark pairs becomes nonnegligible.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi$ Pseudoscalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on $g^2_{tPS}$ for the axion-like $t\bar{t} \phi$ signal model. Masses of the $\phi$ boson above 300 GeV are not probed for the axion-like signal model as the $\phi$ branching fraction into top quark-antiquark pairs becomes nonnegligible.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $W\phi$ Higgs-like with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on the product of $sin^2 \theta$ and branching fraction for the H-like production of X$\phi \rightarrow$ ee. The vertical gray band indicates the mass region not considered in the analysis.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi$ Scalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on the product of $sin^2 \theta$ and branching fraction for the H-like production of X$\phi \rightarrow \mu\mu$. The vertical gray band indicates the mass region not considered in the analysis.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi$ Pseudoscalar with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

The 95% confidence level upper limits on $sin^2 \theta$ for the H-like production and decay of X$\phi$ signal model.

Overlay of observed upper limits at 95% CL on the product of the coupling parameter and branching fraction of the $Z\phi$ Higgs-like with $\phi$ decaying into dielectron, dimuon or ditau pair. Theory cross section for all signals is provived in separate figure Cross section ($pp \rightarrow \ X\phi) [pb]$ and tabulated observed and expected upper limits for each signal model on corresponding to one flavor limit plots.

Cross section in units of pb for the W$\phi$, Z$\phi$, and $t\bar{t}\phi$ signals as a function of the $\phi$ boson mass in GeV. All cross sections are inclusive of all W, Z, $t\bar{t}$ and $\phi$ decay modes.

Product of acceptance and efficiency for $t\bar{t} \phi (ee)$ Scalar signal model in each signal region of the dielectron channel with inclusive t\bar{t} decay.

The 95% confidence level expected and observed upper limits on the product of $g^{2}_{tS}$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $t\bar{t} \phi$ signal with scalar couplings, where $g_{tS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $t\bar{t} \phi (\mu\mu)$ Scalar signal model in each signal region of the dimuon channel with inclusive t\bar{t} decay.

The 95% confidence level expected and observed upper limits on the product of $g^{2}_{tS}$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $t\bar{t} \phi$ signal with scalar couplings, where $g_{tS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $t\bar{t} \phi (\tau\tau)$ Scalar signal model in each signal region of the ditau channel with inclusive t\bar{t} decay.

The 95% confidence level expected and observed upper limits on the product of $g^{2}_{tS}$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $t\bar{t} \phi$ signal with scalar couplings, where $g_{tS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Product of acceptance and efficiency for $t\bar{t} \phi (ee)$ Pseudoscalar signal model in each signal region of the dielectron channel with inclusive t\bar{t} decay.

The 95% confidence level expected and observed upper limits on the product of $g^{2}_{tPS}$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $t\bar{t} \phi$ signal with pseudoscalar couplings, where $g_{tPS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $t\bar{t} \phi (\mu\mu)$ Pseudoscalar signal model in each signal region of the dimuon channel with inclusive t\bar{t} decay.

The 95% confidence level expected and observed upper limits on the product of $g^{2}_{tPS}$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $t\bar{t} \phi$ signal with pseudoscalar couplings, where $g_{tPS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $t\bar{t} \phi (\tau\tau)$ PS signal model in each signal region of the ditau channel with inclusive t\bar{t} decay.

The 95% confidence level expected and observed upper limits on the product of $g^{2}_{tPS}$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $t\bar{t} \phi$ signal with pseudoscalar couplings, where $g_{tPS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Product of acceptance and efficiency for $W\phi (ee)$ Scalar signal model in each signal region of the dielectron channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $t\bar{t} \phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $W\phi (\mu\mu)$ Scalar signal model in each signal region of the dimuon channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $t\bar{t} \phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $W\phi (\tau\tau)$ Scalar signal model in each signal region of the ditau channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $t\bar{t} \phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Product of acceptance and efficiency for $W\phi (ee)$ Pseudoscalar signal model in each signal region of the dielectron channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $W\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $W\phi (\mu\mu)$ Pseudoscalar signal model in each signal region of the dimuon channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $W\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $W\phi (\tau\tau)$ Pseudoscalar signal model in each signal region of the ditau channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $W\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Product of acceptance and efficiency for $W\phi (ee)$ Higgs-like signal model in each signal region of the dielectron channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $W\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $W\phi (\mu\mu)$ Higgs-like signal model in each signal region of the dimuon channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $W\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $W\phi (\tau\tau)$ Higgs-like signal model in each signal region of the ditau channel with leptonic W decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $W\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Product of acceptance and efficiency for $Z\phi (ee)$ Scalar signal model in each signal region of the dielectron channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $W\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $Z\phi (\mu\mu)$ Scalar signal model in each signal region of the dimuon channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $W\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $Z\phi (\tau\tau)$ Scalar signal model in each signal region of the ditau channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $W\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Product of acceptance and efficiency for $Z\phi (ee)$ Pseudoscalar signal model in each signal region of the dielectron channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $Z\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $Z\phi (\mu\mu)$ Pseudoscalar signal model in each signal region of the dimuon channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $Z\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $Z\phi (\tau\tau)$ Pseudoscalar signal model in each signal region of the ditau channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $Z\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Product of acceptance and efficiency for $Z\phi (ee)$ Higgs-like signal model in each signal region of the dielectron channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $Z\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $Z\phi (\mu\mu)$ Higgs-like signal model in each signal region of the dimuon channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $Z\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Product of acceptance and efficiency for $Z\phi (\tau\tau)$ Higgs-like signal model in each signal region of the ditau channel with leptonic Z decay.

The 95% confidence level expected and observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $Z\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

Example of the signal shape paramertization for W$\phi$ signal, $\phi\rightarrow ee $. Only for illustration purpose. All signals parametrization for all coupling scenarios are provided in SignalParametrizationele.root file and README file with instructions under Additional resources.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $ee$)$ of the $Z\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $ee$)$ is the branching fraction of the $\phi$ boson into an electron pair. The vertical gray band indicates the mass region not considered in the analysis.

Example of the signal shape paramertization for W$\phi$ signal, $\phi\rightarrow $\mu\mu$ $. Only for illustration purpose. All signals parametrization for all coupling scenarios are provided in SignalParametrizationmu.root file and README file with instructions under Additional resources.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ of the $Z\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $$\mu\mu$$)$ is the branching fraction of the $\phi$ boson into a muon pair. The vertical gray band indicates the mass region not considered in the analysis.

Example of the signal shape paramertization for W$\phi$ signal, $\phi\rightarrow $\tau\tau$ $. Only for illustration purpose. All signals parametrization for all coupling scenarios are provided in SignalParametrizationtau.root file and README file with instructions under Additional resources.

The 95% confidence level expected and observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ of the $Z\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow $$\tau\tau$$)$ is the branching fraction of the $\phi$ boson into a tau pair.

The 95% confidence level expected and observed upper limits on the product of the mixing angle $sin^2 \theta$ and branching fraction for combined X$\phi$ signal model. Limits for Higgs-like production of $\phi$ boson in the dielectron channel. The inner (green) and the outer (yellow) bands indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The vertical gray band indicates the mass region corresponding to the Z boson mass window veto. Branching fractions B($\phi \rightarrow $ ee) is arbitrary.

The 95% confidence level observed upper limits on the product of $\sigma$($t \bar{t} \phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $t \bar{t} \phi$ signal with scalar couplings, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $t \bar{t} \phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

The 95% confidence level expected and observed upper limits on the product of the mixing angle $sin^2 \theta$ and branching fraction for combined X$\phi$ signal model. Limits for Higgs-like production of $\phi$ boson in the dimuon channel. The inner (green) and the outer (yellow) bands indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The vertical gray band indicates the mass region corresponding to the Z boson mass window veto. Branching fractions B($\phi \rightarrow \mu\mu$) is arbitrary.

The 95% confidence level observed upper limits on the product of $\sigma$($t \bar{t} \phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $t \bar{t} \phi$ signal with pseudoscalar couplings, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $t \bar{t} \phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

The 95% confidence level expected and observed upper limits on $sin^2 \theta$ where $\theta$ is mixing angle, for combined dimuon and ditau channels of X$\phi$ signal model. The inner(green) and the outer (yellow) bands indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

The 95% confidence level observed upper limits on the product of $\sigma$($W\phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $W\phi$ signal with scalar couplings, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $W\phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

The 95% confidence level expected and observed upper limits on the square of the Yukawa coupling to top quarks $g^2_{S}$ for combined dimuon and ditau channels of $t\bar{t} \phi$ signal model with dilaton-like $\phi$ boson. The inner (green) and the outer (yellow) bands indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

The 95% confidence level observed upper limits on the product of $\sigma$($W\phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $W\phi$ signal with pseudoscalar couplings, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $W\phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

The 95% confidence level expected and observed upper limits on the square of the Yukawa coupling to top quarks $g^2_{PS}$ for combined dimuon and ditau channels of $t\bar{t} \phi$ signal model with ”fermi-philic” axion-like $\phi$ boson. The inner (green) and the outer (yellow) bands indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis.

The 95% confidence level observed upper limits on the product of $\sigma$($W\phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $W\phi$ signal with H-like production, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $W\phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $\sigma$($Z\phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $Z\phi$ signal with scalar couplings, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $Z\phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $\sigma$($Z\phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $Z\phi$ signal with pseudoscalar couplings, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $Z\phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $\sigma$($Z\phi$) and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $Z\phi$ signal with H-like production, where $\sigma$ denotes the production cross section and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The red dash-dotted line is the theoretical prediction for $\sigma\bf{\it{B}}$ of the $Z\phi$ signal. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $g^{2}_{tS}$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $t \bar{t} \phi$ signal with scalar couplings, where $g_{tS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $g^{2}_{tPS}$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $t \bar{t} \phi$ signal with pseudoscalar couplings, where $g_{tPS}$ denotes the coupling of the $\phi$ boson to the top quark and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $t \bar{t} \phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $W\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $W\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $W\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $\Lambda^{-2}_{S}$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $Z\phi$ signal with scalar couplings, where $\Lambda_{S}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $\Lambda^{-2}_{PS}$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $Z\phi$ signal with pseudoscalar couplings, where $\Lambda_{PS}$ denotes the mass scale of the effective interaction and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra Min. $M_{ee}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The 95% confidence level observed upper limits on the product of $sin^2 \theta$ and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ for the $Z\phi$ signal with H-like production, where $\theta$ denotes the mixing angle of the Higgs boson with the $\phi$ boson and $\bf{\it{B}}(\phi \rightarrow \ell \ell)$ is the branching fraction of the $\phi$ boson into a lepton pair of given flavor. Exclusions on the dielectron, dimuon, and ditau decay scenarios of the $\phi$ boson are shown with the green, blue, and orange solid lines, respectively. The vertical gray band indicates the mass region not considered in the analysis in the dielectron and dimuon decay scenarios of the $\phi$ boson.

Mass spectra $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $t\bar{t} \phi$ signal (with inclusive $t\bar{t}$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $t\bar{t} \phi$ signal (with inclusive $t\bar{t}$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $t\bar{t} \phi$ signal (with inclusive $t\bar{t}$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $t\bar{t} \phi$ signal (with inclusive $t\bar{t}$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $t\bar{t} \phi$ signal (with inclusive $t\bar{t}$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $t\bar{t} \phi$ signal (with inclusive $t\bar{t}$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\mu\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{e\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for an H-like $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{e\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for an H-like $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{l\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for an H-like $\phi$ boson in the $W\phi$ signal (with leptonic $W$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{l\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\tau\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\tau\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a scalar $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{e\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{l\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\tau\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for a pseudoscalar $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{e\mu}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for an H-like $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the dielectron decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{l\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for an H-like $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the dimuon decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{\tau\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

The product of acceptance and efficiency, $A\varepsilon$, for an H-like $\phi$ boson in the $Z\phi$ signal (with leptonic $Z$ decay) in each signal region in the ditau decay scenario. Each value is computed as the ratio of the number of simulated signal events passing all selection criteria to the total number of simulated signal events, and includes the data-to-simulation correction factors described in the paper.

Mass spectra Min. $M_{l\tau}$ or $M_{\tau\tau}$ (GeV) for the full Run 2 data set. In the attached figure the lower panel shows the ratio of observed events to the total expected SM background prediction, and the gray band represents the sum of statistical and systematic uncertainties in the background prediction. The expected background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, two example signal hypotheses for the production and decay of a scalar and a pseudoscalar $\phi$ boson are shown, and their masses are indicated in the legend. For reinterpretation we provide signal parameterization and instructions to extract it in Additional resources.

Selected signal shapes of the $W\phi$(ee) signal for illustration purposes. All shape parametrizations for all coupling scenarios of the $X\phi$(ee) signal are provided in the SignalShapes_XPhiToEleEle.root file, and a README file with instructions is provided under Additional Resources.

Selected signal shapes of the $W\phi$$(\mu\mu)$ signal for illustration purposes. All shape parametrizations for all coupling scenarios of the $X\phi$$(\mu\mu)$ signal are provided in the SignalShapes_XPhiToMuMu.root file, and a README file with instructions is provided under Additional Resources.

Selected signal shapes of the $W\phi$$(\tau\tau)$ signal for illustration purposes. All shape parametrizations for all coupling scenarios of the $X\phi$$(\tau\tau)$ signal are provided in the SignalShapes_XPhiToTauTau.root file, and a README file with instructions is provided under Additional Resources.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 5-jet bHbH channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 5-jet bHbZ channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 5-jet bZbZ channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 5-jet bHtW channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 5-jet bZtW channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 6-jet bHbH channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 6-jet bHbZ channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 6-jet bZbZ channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 6-jet bHtW channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the hadronic 6-jet bZtW channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the semileptonic 3-jet bHbZ channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the semileptonic 3-jet bZbZ channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the semileptonic 4-jet bHbZ channel.

Distributions of reconstructed VLQ mass for expected postfit background (blue histogram), signal plus background (colored lines), and observed data (black points) for events in the semileptonic 4-jet bZbZ channel.

The limit at 95% CL on the cross section for VLQ pair production for the branching fraction hypothesis 0% $\mathcal{B}(B \to bH)$, 100% $\mathcal{B}(B \to bH)$, and 0% $\mathcal{B}(B \to bH)$

The limit at 95% CL on the cross section for VLQ pair production for the branching fraction hypothesis 25% $\mathcal{B}(B \to bH)$, 25% $\mathcal{B}(B \to bH)$, and 50% $\mathcal{B}(B \to bH)$

The limit at 95% CL on the cross section for VLQ pair production for the branching fraction hypothesis 50% $\mathcal{B}(B \to bH)$, 50% $\mathcal{B}(B \to bH)$, and 0% $\mathcal{B}(B \to bH)$

The limit at 95% CL on the cross section for VLQ pair production for the branching fraction hypothesis 100% $\mathcal{B}(B \to bH)$, 0% $\mathcal{B}(B \to bH)$, and 0% $\mathcal{B}(B \to bH)$

Median expected exclusion limits on the VLQ mass at 95% CL as a function of the branching fractions $\mathcal{B}(B \to bH)$ and $\mathcal{B}(B \to tW)$, with $\mathcal{B}(B \to tW) = 1 - \mathcal{B}(B \to bH) - \mathcal{B}(B \to bZ)$. The grey area corresponds to the region where the exclusion limit is less than 1000 GeV.

Median observed exclusion limits on the VLQ mass at 95% CL as a function of the branching fractions $\mathcal{B}(B \to bH)$ and $\mathcal{B}(B \to tW)$, with $\mathcal{B}(B \to tW) = 1 - \mathcal{B}(B \to bH) - \mathcal{B}(B \to bZ)$. The grey area corresponds to the region where the exclusion limit is less than 1000 GeV.

Signal yields for two charge scenarios considered in the analysis, as well as their associated uncertainties.

Distribution of $N_{\text{hits}}^{\text{low dE/dx}}$ in the SR and the CR for the early 2016 data set, as well as for an FCP signal at a mass of 100 GeV and different charge scenarios. The vertical bars and the shaded area correspond to the statistical uncertainty in the SR and the CR, respectively. The p-value of the fit is 6%. The two lower panels show the ratio of the number of tracks observed in the CR (upper) and SR (lower), and the fit function. The vertical bars correspond to the uncertainty from statistical sources, while the shaded area shows the systematic uncertainty in the fit due to the choice of the fitting function and the binomial fit range as explained in low dE/dx the main text. Comparing with respect to the binomial fit starting at $N_{\text{hits}}^{\text{low dE/dx}} = 2$, and not $N_{\text{hits}}^{\text{low dE/dx}} = 1$, is needed to account for the fact that early 2016 data is more strongly affected low dE/dx by instrumental effects that widen the N hits distribution.

Distribution of $N_{\text{hits}}^{\text{low dE/dx}}$ in the SR and the CR for the late 2016 data set, as well as for an FCP signal at a mass of 100 GeV and different charge scenarios. The vertical bars and the shaded area correspond to the statistical uncertainty in the SR and the CR, respectively. The p-value of the fit is 78%. The two lower panels show the ratio of the number of tracks observed in the CR (upper) and SR (lower), and the fit function. The vertical bars correspond to the uncertainty from statistical sources, while the shaded area shows the systematic uncertainty in the fit due to the choice of the fitting function and the binomial fit range as explained in low dE/dx the main text.

Distribution of $N_{\text{hits}}^{\text{low dE/dx}}$ in the SR and the CR for the 2017 data set, as well as for an FCP signal at a mass of 100 GeV and different charge scenarios. The vertical bars and the shaded area correspond to the statistical uncertainty in the SR and the CR, respectively. The p-value of the fit is 65%. The two lower panels show the ratio of the number of tracks observed in the CR (upper) and SR (lower), and the fit function. The vertical bars correspond to the uncertainty from statistical sources, while the shaded area shows the systematic uncertainty in the fit due to the choice of the fitting function and the binomial fit range as explained in low dE/dx the main text.

Distribution of $N_{\text{hits}}^{\text{low dE/dx}}$ in the SR and the CR for the 2018 data set, as well as for an FCP signal at a mass of 100 GeV and different charge scenarios. The vertical bars and the shaded area correspond to the statistical uncertainty in the SR and the CR, respectively. The p-value of the fit is 9%. The two lower panels show the ratio of the number of tracks observed in the CR (upper) and SR (lower), and the fit function. The vertical bars correspond to the uncertainty from statistical sources, while the shaded area shows the systematic uncertainty in the fit due to the choice of the fitting function and the binomial fit range as explained in low dE/dx the main text.

Exclusion region (hatched) at 95% CL in the FCP charge-mass plane for the considered signal. The expected exclusion is shown with the associated 1 and 2 standard deviations $\sigma$ bands. Signal points at charges 0.9, 0.8, 2/3, 0.5, and 1/3 e are connected by straight lines to guide the eye. This is a conservative interpolation. Previous exclusions from CMS [Phys. Rev. D 87 (2013) 092008), JHEP 07 (2013) 122] as well as OPAL [Phys. Lett. B 572 (2003) 8] are given for comparison.

The number of events in data and simulations after the fit to data in the Top$\gamma$ CR, SS$WW\gamma$ CR, and signal region.

The distributions of the invariant mass of the dilepton-photon system after the signal region selection before the fit to data.The shaded band represents the Monte Carlo statistical unc

Upper limits on the cross section and derived limits in terms of Yukawa coupling at 95% CL for Hγ production initiated by light quarks.

The distributions of the invariant mass of the transverse mass of the WW system after the signal region selection before the fit to data.The shaded band represents the Monte Carlo statistical unc

The distributions of the invariant mass of the dilepton-photon system after the signal region selection before the fit to data.The shaded band represents the Monte Carlo statistical unc

The unrolled two-dimensional mTWW-mll$\gamma$ distributions with category 0 jet after the fit to data. The data are compared to the sum of the signal and expected background. The black points with error bars represent the data and their statistical uncertainties, whereas the hatched bands represent the total uncertainties in the predictions.

The distributions of the invariant mass of the transverse mass of the WW system after the signal region selection before the fit to data.The shaded band represents the Monte Carlo statistical unc

The unrolled two-dimensional mTWW-mll$\gamma$ distributions with category 1more jets after the fit to data. The data are compared to the sum of the signal and expected background. The black points with error bars represent the data and their statistical uncertainties, whereas the hatched bands represent the total uncertainties in the predictions.

The unrolled two-dimensional mTWW-mll$\gamma$ distributions with category 0 jet after the fit to data. The data are compared to the sum of the signal and expected background. The black points with error bars represent the data and their statistical uncertainties, whereas the hatched bands represent the total uncertainties in the predictions.

The unrolled two-dimensional mTWW-mll$\gamma$ distributions with category 1more jets after the fit to data. The data are compared to the sum of the signal and expected background. The black points with error bars represent the data and their statistical uncertainties, whereas the hatched bands represent the total uncertainties in the predictions.

Comparison of data and background pT distribution at the preselection level for the second leading jet.

Comparison of data and background BDT discriminant distributions at the preselection level for LQ mass hypotheses of 1500 GeV.

Comparison of data and background BDT discriminant distributions at the preselection level for LQ mass hypotheses of 1800 GeV.

Comparison of data and background BDT discriminant distributions at the preselection level for LQ mass hypotheses of 2000 GeV.

Total signal selection efficiency, defined as the number of events passing the selection divided by the number of generated events. Enhanced preselection is defined as preselection with the additional requirements m_uu>250 and m_uujj>m_lq. The discrete nature of the final selection for each LQ candidate mass produces the observed variation in the efficiency. Relative uncertainties are less than one percent in all cases.

Event yields in the combined 2016--2018 data at the final selection level.

The expected and observed upper limits at 95% CL on the product of the scalar LQ pair production cross section and the branching fractions β^2 as a function of mLQ. The solid lines represent the observed limits, the dashed lines represent the median expected limits, and the inner dark-green and outer light-yellow bands represent the 68% and 95% CL intervals. The σtheory curves and their blue bands represent the theoretical scalar LQ pair production cross sections and the uncertainties on the cross sections due to the PDF prediction and renormalization and factorization scales, respectively.

The expected and observed exclusion limits at 95% CL as a function of the leptoquark mass and the branching fraction β. The solid line represents the observed limits, the dashed line represents the median expected limits, and the inner dark-green and outer light-yellow bands represent the 68% and 95% CL intervals. The area below the observed limit is excluded.

The ratios between the hydrodynamic probes and their Taylor expansions. The ratios are plotted as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The ratios between the hydrodynamic probes and their Taylor expansions. The ratios are plotted as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The magnitudes of the measured skewness $\gamma_1^\textrm{exp}$ and "corrected" skewness $\gamma_{1,\textrm{corr}}^\textrm{exp}$ as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The magnitudes of the measured kurtosis $\gamma_2^\textrm{exp}$ and "corrected" kurtosis $\gamma_{2,\textrm{corr}}^\textrm{exp}$ as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The magnitudes of the measured superskewness $\gamma_3^\textrm{exp}$ and "corrected" superskewness $\gamma_{3,\textrm{corr}}^\textrm{exp}$ as functions of centrality in PbPb collisions at $\sqrt{s_{NN}}=5.02~\textrm{Te}\textrm{V}$. The measurement is performed with charged particles within the acceptance region.

The geometric acceptance multiplied by the efficiency of the $\it{p}_{T}^\text{miss} >$ 200 GeV selection as a function of the proper decay length c$\tau$ for a scalar particle S with a mass of 40 GeV. The acceptance region for DT is defined by requiring the LLP to decay in the region with |z| < 661 cm and 380 cm < r < 736 cm. The acceptance region for CSC is defined by requiring the LLP decay in the region with $|\eta| < 2.4$, r < 695.5 cm, and 661 cm < |z| < 1100 cm or in the region with $|\eta| < 2.4$, r < 270 cm, and 500 cm < |z| < 661 cm. Single CSC cluster requires exactly one LLP to decay in CSC; Single DT cluster requires exactly one LLP to decay in DT; Double cluster requires both LLP to decay in CSC or DT. The denominator in this plot includes all generated events. The nominator includes events that pass the acceptance requirements above and $\it{p}_{T}^\text{miss} >$ 200 GeV.

Distributions of the cluster time for signal, where S decaying to $d\bar{d}$ for a proper decay length c$\tau$ of 1 m and mass of 40 GeV, and for a background-enriched sample in data selected by inverting the $N_\text{hits}$ requirement.

The distributions of $N_\text{hits}$ for single CSC clusters are shown for signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m).

The distributions of $N_\text{hits}$ for single CSC clusters are shown for compared to the OOT background ($t_\text{clusters} < 12.5$ ns). The OOT background is representative of the overall background shape, because the background passing all the selections described above is dominated by pileup and underlying events.

The distributions of $\Delta\phi(\it{p}_{T}^\text{miss} \text{,cluster)}$ for single CSC clusters are shown for signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), compared to the shape of background in a selection in which the cluster is not matched to any RPC hit and passes all other selections. The background is dominated by clusters from noise and low-pT particles.

The distributions of $N_\text{hits}$ for single CSC clusters are shown for signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), compared to the shape of background in a selection in which the cluster is not matched to any RPC hit and passes all other selections. The background is dominated by clusters from noise and low-pT particles.

The distributions of $\Delta\phi(\it{p}_{T}^\text{miss} \text{,cluster)}$ for single CSC clusters are shown for signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), compared to the shape of background in a selection in which the cluster is not matched to any RPC hit and passes all other selections. The background is dominated by clusters from noise and low-pT particles.

The signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), background, and data distributions of $N_\text{clusters}$ passing the $N_\text{hits}$ selection in the search region for CSC-CSC category.

The signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), background, and data distributions of $N_\text{clusters}$ passing the $N_\text{hits}$ selection in the search region for DT-DT category.

The signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), background, and data distributions of $N_\text{clusters}$ passing the $N_\text{hits}$ selection in the search region for DT-CSC category.

The signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), background, and data distributions of $N_\text{hits}$ in the search region of the single-CSC cluster category are shown. The $N_\text{hits}$ distribution includes only events in bins A and D. The right-hand bin in the Nhits distribution includes overflow events.

The signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), background, and data distributions of $\Delta\phi(\it{p}_{T}^\text{miss} \text{,cluster)}$ in the search region of the single-CSC cluster category are shown. The $\Delta\phi(\it{p}_{T}^\text{miss} \text{,cluster)}$ distribution includes only events in bins A and B.

The signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), background, and data distributions of $N_\text{hits}$ in the search region of the single-DT cluster category are shown. The $N_\text{hits}$ distribution includes only events in bins A and D. The right-hand bin in the Nhits distribution includes overflow events.

The signal (assuming B(H $\rightarrow$ SS) = 1%, S $\rightarrow d\bar{d}$, and c$\tau$ = 1 m), background, and data distributions of $\Delta\phi(\it{p}_{T}^\text{miss} \text{,cluster)}$ in the search region of the single-DT cluster category are shown. The $\Delta\phi(\it{p}_{T}^\text{miss} \text{,cluster)}$ distribution includes only events in bins A and B.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 3 GeV mass and $ S \rightarrow d\bar{d}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 7 GeV mass and $ S \rightarrow d\bar{d}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 15 GeV mass and $ S \rightarrow d\bar{d}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 40 GeV mass and $ S \rightarrow d\bar{d}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 55 GeV mass and $ S \rightarrow d\bar{d}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 0.4 GeV mass and $ S \rightarrow \pi^{0} \pi^{0}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 1 GeV mass and $ S \rightarrow \pi^{0} \pi^{0}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 7 GeV mass and $ S \rightarrow \tau^{+} \tau^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 15 GeV mass and $ S \rightarrow \tau^{+} \tau^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 40 GeV mass and $ S \rightarrow \tau^{+} \tau^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 55 GeV mass and $ S \rightarrow \tau^{+} \tau^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 15 GeV mass and $ S \rightarrow b\bar{b}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 40 GeV mass and $ S \rightarrow b\bar{b}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 55 GeV mass and $ S \rightarrow b\bar{b}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 0.4 GeV mass and $ S \rightarrow \pi^{+} \pi^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 1 GeV mass and $ S \rightarrow \pi^{+} \pi^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 1.5 GeV mass and $ S \rightarrow K^{+}K^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 1.5 GeV mass and $ S \rightarrow K^{0}K^{0}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 0.4 GeV mass and $ S \rightarrow \gamma\gamma$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) for 0.4 GeV mass and $ S \rightarrow \e^{+} \e^{-}$ decay mode.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow$ SS) as functions of mass and c$\tau$ assuming S inherits all couplings from the Higgs boson evaluated at the LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for vector portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 2 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for vector portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for vector portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for vector portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for vector portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for gluon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 2 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 2 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 2 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for photon portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 4 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 4 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 4 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for higgs portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 1)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (2.5, 2.5)$ and 20 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 5 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 10 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 15 GeV LLP mass.

The 95% CL observed and expected limits on the branching fraction B(H $\rightarrow \Psi\Psi$) for darkphoton portal, assuming $(\xi_{\omega}$, $\xi_{\Lambda}) = (1, 1)$ and 20 GeV LLP mass.

Dependence of the parameter $A$ on $(t_1, t_2)$.

Dependence of the parameter $R$ on $(t_1, t_2)$.

Dependence of the parameter $c$ on $(t_1, t_2)$.

Dependence of the parameter $R$ on the two scattered proton transverse momenta.

Correlation coefficients among values of best parameters for the two-channel model, in the case of the exponential parametrisation of the proton-pomeron form factor.

Correlation coefficients among values of best parameters for the two-channel model, in the case of the Orear-type parametrisation of the proton-pomeron form factor.

Correlation coefficients among values of best parameters for the two-channel model, in the case of the power-law parametrisation of the proton-pomeron form factor.

The JEC, JER, and total systematic uncertainties in unfolded cross sections as functions of transverse momentum, for 1.5<|y|<2. The total systematic uncertainty includes also the luminosity, jet identification and trigger efficiency uncertainties.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for |y|<0.5, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for 0.5<|y|<1, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for 1<|y|<1.5, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

The unfolded measured particle-level inclusive jet cross section as functions of jet pT (markers), for 1.5<|y|<2, compared to the NLO perturbative QCD prediction (histogram), using the CT14NLO PDF set, with muR = muF = HT, and corrected for the NP effects. The experimental and theoretical systematic uncertainties are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = pT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NLO theoretical predictions, using the CT14NLO PDF set, with mu = HT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the CT14NNLO PDF set, with mu = HT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for |y|<0.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for 0.5<|y|<1. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for 1<|y|<1.5. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

Ratios (points) of the unfolded measured cross sections to the NNLO theoretical predictions, using the NNPDF31NNLO PDF set, with mu = HT, for 1.5<|y|<2. The vertical error bars show the statistical experimental uncertainty. The systematic experimental uncertainty, the total theoretical uncertainty, and the individual sources of theoretical uncertainty are shown.

The effect of aS(MZ) variation, for |y|<0.5. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

The effect of aS(MZ) variation, for 0.5<|y|<1. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

The effect of aS(MZ) variation, for 1<|y|<1.5. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

The effect of aS(MZ) variation, for 1.5<|y|<2. The NNLO theoretical cross section predictions using the NNPDF31NNLO PDF with m = HT, calculated for different choices of aS (0.108, 0.110, 0.112, 0.114, 0.116, 0.117, 0.118, 0.119, 0.120, 0.122, and 0.124), are divided by the benchmark NNLO prediction for aS = 0.118 and the same choice of PDF set, muR, and muF. Also shown is the experimental unfolded measurement divided by the same benchmark prediction. The width of the unity line corresponds to the statistical uncertainty from the MC integration for the determination of the NNLO prediction. The error bars on the unfolded data correspond to the total experimental statistical and systematic uncertainty added in quadrature.

Unfolded correlation matrix for |y|<0.5.

Unfolded correlation matrix for 0.5<|y|<1.

Unfolded correlation matrix for 1<|y|<1.5.

Unfolded correlation matrix for 1.5<|y|<2.

The Au+Au 200 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 54.4 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 39 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 27 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 19.6 GeV measurements of the two- and four-particle elliptic flow and the elliptic flow fluctuations.

The Au+Au 11.5 GeV measurements of the two- and four-particle elliptic flow and the elliptic flow fluctuations.

The U+U 193 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

The Cu+Au 200 GeV measurements of the two-, four- and six-particle elliptic flow and the elliptic flow fluctuations.

Correlation matrix for the differential branching fraction extraction between different $q^2$ bins in the simultaneous fit.

The product of acceptance and efficiency ($A\epsilon$) of the $\mathcal{B}(\mathrm{B}^+\to\mathrm{K}^+\mu^+\mu^-)$ channel, as a function of the muon pair $q^2$, as measured in simulated signal events, after all the corrections applied. In the figure, regions corresponding to resonances are displayed with red markers.

Same as Table 5, but for the bins containing the J$\psi$ and $\psi$(2S) resonances.

Integrated branching fraction $\mathcal{B}(\mathrm{B}^\pm \to \mathrm{K}^\pm\mu^+\mu^-)$ in the low-$q^2$ region.

Ratio of branching fractions $\mathcal{B}(\text{B}^\pm \to \text{K}^\pm\mu^+\mu^-)$ to $\mathcal{B}(\text{B}^\pm \to \text{K}^\pm\text{e}^+\text{e}^-)$, determined from the measured double ratio $R$(K) of these decays to the respective branching fractions of the decay chains $\text{B}^\pm\to\text{J/}\psi\text{K}^\pm$ with $\text{J/}\psi\to\mu^+\mu^-$ and $\text{e}^+\text{e}^-$.

Negative log likelihood function from the fit profiled as a function of the inverse ratio $R(\mathrm{K})^{-1}$.

Statistical correlation coefficients for double-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet invariant mass ($m_{1,2}$) and the absolute rapidity of the outermost jet ($\left| y \right|_\text{max}$)

Double-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$) and the absolute rapidity of the outermost jet ($\left| y \right|_\text{max}$)

Electroweak corrections to double-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$) and the absolute rapidity of the outermost jet ($\left| y \right|_\text{max}$)

Nonperturbative corrections to double-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$) and the absolute rapidity of the outermost jet ($\left| y \right|_\text{max}$)

Statistical correlation coefficients for double-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$) and the absolute rapidity of the outermost jet ($\left| y \right|_\text{max}$)

Triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Electroweak corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Nonperturbative corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Statistical correlation coefficients for triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Electroweak corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Nonperturbative corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Statistical correlation coefficients for triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet invariant mass ($m_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Electroweak corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Nonperturbative corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Statistical correlation coefficients for triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.4 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Electroweak corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Nonperturbative corrections to triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

Statistical correlation coefficients for triple-differential dijet cross section for anti-$k_\text{T}$ jets with R = 0.8 as a function of the dijet average transverse momentum ($\langle p_\text{T} \rangle_{1,2}$), the total boost of dijet system ($y_\text{b}$), and the absolute rapidity separation of the two jets ($y^*$)

The distribution of $\mathrm{p_{T}^{miss}}$ (GeV) in 2L1T MisID CR events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

The distribution of $\mathrm{M_{T}}$ (GeV) in 3L OnZ CR events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

The distribution of $\mathrm{H_{T}}$ (GeV) in 3L ttZ CR events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

Distribution of BDT score from the SS-M ($\mathrm{B_{e}=B_{\mu}=B_{\tau}}$) BDT for the 3L+2L1T CR events for the combined 2016-2018 data set. The 3L+2L1T CR consists of the 3L OnZ, 3L Z$\mathrm{\gamma}$, and 2L1T MisID CRs. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

The distribution of visible diboson $\mathrm{p_{T}}$ (GeV) in 4L ZZ CR events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

Distribution of BDT score from the SS-M ($\mathrm{B_{e}=B_{\mu}=B_{\tau}}$) BDT for the 4L ZZ CR events for the combined 2016-2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

The distribution of $\mathrm{L_{T}}$ in all seven multilepton channels for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton of $\mathrm{m_{\tau'}}$ = 1 TeV in the doublet scenario, before the fit, is also overlaid.

The distribution of $\mathrm{p_{T}^{miss}}$ in all seven multilepton channels for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermion of $\mathrm{m_{\Sigma}}$ = 1 TeV in the flavor-democratic scenario, before the fit, is also overlaid.

The distribution of $\mathrm{H_{T}}$ in all seven multilepton channels for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. For illustration, an example signal hypothesis for the production of the scalar leptoquark of $mathrm{m_{S}}$ = 1 TeV coupled to a top quark and a $\tau$ lepton, before the fit, is also overlaid.

The distribution of $\mathrm{M_{OSSF}}$ in channels with at least one light lepton pair (4L, 3L1T, 3L, 2L2T, and 2L1T) for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermion of $\mathrm{m_{\Sigma}}$ = 1 TeV in the flavor-democratic scenario, before the fit, is also overlaid.

The $\mathrm{N_{b}}$ distribution in 4L, 3L1T, 3L, 2L2T, 2L1T, 1L3T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

The invariant mass distribution of the opposite-sign same-flavor ($\mathrm{M_{OSSF}}$) tau lepton pair distribution in 2L2T, 1L3T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

The $\mathrm{M_{T}^{12}}$ distribution in 4L, 3L1T, 3L, 2L2T, 2L1T, 1L3T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction.

The $\mathrm{N_{b}}$ distribution in 3L, 2L1T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The $\mathrm{L_{T}}$ distribution in 3L, 2L1T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The $\mathrm{p_{T}^{miss}}$ distribution in 3L, 2L1T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The $\mathrm{H_{T}}$ distribution in 3L, 2L1T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The $\mathrm{M_{OSSF}}$ distribution in 3L, and 2L1T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The invariant mass distribution of the opposite-sign different-flavor ($\mathrm{M_{OSDF}}$) light lepton pair distribution in 3L, and 2L1T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The invariant mass distribution of the opposite-sign same-flavor ($\mathrm{M_{OSSF}}$) tau lepton pair distribution in 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The invariant mass distribution of the opposite-sign different-flavor ($\mathrm{M_{OSDF}}$) light lepton and tau lepton pair distribution in 2L1T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The $\mathrm{M_{T}^{1}}$ distribution in 3L, 2L1T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The $\mathrm{M_{T}^{12}}$ distribution in 3L, 2L1T, and 1L2T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The model independent fundamental table categories for the combined 2016-2018 data set, as defined in Table 1. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The $\mathrm{N_{b}}$ distribution in 4L, 3L1T, 2L2T, and 1L3T events for the combined 2016-2018 data set. The rightmost bin contains the overflow events. The gray band represents the sum of statistical and systematic uncertainties on the SM background predictions.

The SR distributions of the fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table in 3L channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table in 2L1T and 1L2T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table in 3L channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table in 2L1T and 1L2T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table in 4L, 3L1T, 2L2T, and 1L3T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table in 4L, 3L1T, 2L2T, and 1L3T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{S_{T}}$ table in 3L channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{S_{T}}$ table in 2L1T and 1L2T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{S_{T}}$ table in 3L channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{S_{T}}$ table in 2L1T and 1L2T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{S_{T}}$ table in 4L, 3L1T, 2L2T, and 1L3T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the fundamental $\mathrm{S_{T}}$ table in 4L, 3L1T, 2L2T, and 1L3T channels for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L 0B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L 1B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L 2B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 2L1T 0B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 2L1T 1B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 2L1T 2B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 1L2T channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. An example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid. For this category, the signal yield is negligible and is not visible in the figure.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L 0B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L 1B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L 2B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 2L1T 0B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 2L1T 1B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 2L1T 2B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 1L2T channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. An example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid. For this category, the signal yield is negligible and is not visible in the figure.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 4L 0B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 4L 1B/2B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L1T, 2L2T, and 1L3T channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 4L 0B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 4L 1B/2B channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The SR distributions of the advanced $\mathrm{S_{T}}$ table in 3L1T, 2L2T, and 1L3T channel for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The VLL-L BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 200 GeV, before the fit, is also overlaid.

The VLL-L BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 200 GeV, before the fit, is also overlaid.

The VLL-L BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 200 GeV, before the fit, is also overlaid.

The VLL-M BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 400 GeV, before the fit, is also overlaid.

The VLL-M BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 400 GeV, before the fit, is also overlaid.

The VLL-M BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 400 GeV, before the fit, is also overlaid.

The VLL-H BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 900 GeV, before the fit, is also overlaid.

The VLL-H BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 900 GeV, before the fit, is also overlaid.

The VLL-H BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 900 GeV, before the fit, is also overlaid.

The VLL-L BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 200 GeV, before the fit, is also overlaid.

The VLL-L BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 200 GeV, before the fit, is also overlaid.

The VLL-L BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 200 GeV, before the fit, is also overlaid.

The VLL-M BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 400 GeV, before the fit, is also overlaid.

The VLL-M BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 400 GeV, before the fit, is also overlaid.

The VLL-M BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 400 GeV, before the fit, is also overlaid.

The VLL-H BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 900 GeV, before the fit, is also overlaid.

The VLL-H BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 900 GeV, before the fit, is also overlaid.

The VLL-H BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 900 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 850 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 850 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 850 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 100 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-L $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 300 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-M $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 550 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 850 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 850 GeV, before the fit, is also overlaid.

The SS-H $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the scenario with mixing exclusively to $\tau$ lepton for $\mathrm{m_{\Sigma}}$ = 850 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{\tau}=1}$ BDT regions for the 3-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{e}+B_{\mu}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and an electron for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-VL $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 200 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-L $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 400 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-M $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 700 GeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2016 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2017 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

The LQ-H $\mathrm{B_{\tau}=1}$ BDT regions for the 4-lepton channels for the 2018 data set. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background prediction. The expected SM background distributions and the uncertainties are shown after fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a $\tau lepton$ for $\mathrm{m_{S}}$ = 1.2 TeV, before the fit, is also overlaid.

Observed and expected upper limits at 95%% CL on the production cross section for the type-III seesaw fermions in the flavor-democratic scenario using the table schemes and the BDT regions of the SS-M and the SS-H $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ BDTs. To the left of the vertical dashed gray line, the limits are shown from the advanced $\mathrm{S_{T}}$ table, and to the right the limits are shown from the BDT regions.

Observed and expected upper limits at 95%% CL on the production cross section for the vector-like $\mathrm{\tau}$ leptons: doublet model. To the left of the vertical dashed gray line, the limits are shown from the advanced $\mathrm{S_{T}}$ table, and to the right the limits are shown from the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks: $\mathrm{B_{\tau}=1}$ and $\mathrm{\beta=1}$. To the left of the vertical dashed gray line, the limits are shown from the advanced $\mathrm{S_{T}}$ table, and to the right the limits are shown from the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks: $\mathrm{B_{e}=1}$ and $\mathrm{\beta=1}$. To the left of the vertical dashed gray line, the limits are shown from the advanced $\mathrm{S_{T}}$ table, and to the right the limits are shown from the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks: $\mathrm{B_{\mu}=1}$ and $\mathrm{\beta=1}$. To the left of the vertical dashed gray line, the limits are shown from the advanced $\mathrm{S_{T}}$ table, and to the right the limits are shown from the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\mathrm{\tau}$ leptons: singlet model. The limit is shown from the advanced $\mathrm{S_{T}}$ table for all masses.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=B_{\mu}=B_{\tau}}$ scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\mu}=1}$ scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\mu}=1}$ scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\mu}=1}$ scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\mu}=1}$ scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=1}$ scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=1}$ scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=1}$ scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{e}=1}$ scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\tau}=1}$ scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\tau}=1}$ scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\tau}=1}$ scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the type-III seesaw fermions in the $\mathrm{B_{\tau}=1}$ scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\mu}=1}$ scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\mu}=1}$ scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\mu}=1}$ scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\mu}=1}$ scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{e}=1}$ scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{e}=1}$ scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{e}=1}$ scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{e}=1}$ scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\tau}=1}$ scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\tau}=1}$ scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\tau}=1}$ scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\tau}=1}$ scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\tau$ leptons in the doublet scenario using the BDT regions.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\tau$ leptons in the doublet scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\tau$ leptons in the doublet scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\tau$ leptons in the doublet scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\tau$ leptons in the singlet scenario using the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\tau$ leptons in the singlet scenario using the Fundamental $\mathrm{S_{T}}$ table.

Observed and expected upper limits at 95% CL on the production cross section for the vector-like $\tau$ leptons in the singlet scenario using the Advanced $\mathrm{S_{T}}$ table.

Observed lower limits at 95% CL on the mass of the type-III seesaw fermions in the plane defined by $\mathrm{B_{e}}$ and $\mathrm{B_{\tau}}$, with the constraint that $\mathrm{B_{e}+B_{\mu}+B_{\tau}=1}$. These limits arise from the SS-H $\mathrm{B_{\tau}=1}$ BDT when $\mathrm{B_{\tau}\geq0.9}$, and by the SS-H $\mathrm{B_{e}+B_{\mu}+B_{\tau}=1}$ BDT for the other decay branching fraction combinations.

Median Expected lower limits at 95% CL on the mass of the type-III seesaw fermions in the plane defined by $\mathrm{B_{e}}$ and $\mathrm{B_{\tau}}$, with the constraint that $\mathrm{B_{e}+B_{\mu}+B_{\tau}=1}$. These limits arise from the SS-H $\mathrm{B_{\tau}=1}$ BDT when $\mathrm{B_{\tau}\geq0.9}$, and by the SS-H $\mathrm{B_{e}+B_{\mu}+B_{\tau}=1}$ BDT for the other decay branching fraction combinations.

Acceptance times efficiency values for the major SM backgrounds WZ, ZZ, and ttZ in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample. The statistical uncertainty on the acceptance times efficiency values is insignificant with respect to the quoted precision.

Acceptance times efficiency values with statistical uncertainty for the vector-like $\mathrm{\tau}$ lepton model in the doublet scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the vector-like $\mathrm{\tau}$ lepton model in the singlet scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the type-III seesaw fermions in the $\mathrm{(B_{e}=B_{\mu}=B_{\tau})}$ scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the type-III seesaw fermions in the $\mathrm{(B_{e}=1)}$ scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the type-III seesaw fermions in the $\mathrm{(B_{\mu}=1)}$ scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the type-III seesaw fermions in the $\mathrm{B_{\tau}=1)}$ scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\tau}=1}$ scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{e}=1}$ scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Acceptance times efficiency values with statistical uncertainty for the scalar leptoquarks with $\mathrm{\beta=1}$ in the $\mathrm{B_{\mu}=1}$ scenario in the signal regions of all seven multilepton channels. The product is defined as the ratio of the total reconstructed yield in a given channel (after all the corrections and scale factor implementation) to the product of luminosity and the production cross section of the given simulation sample.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of $\tau$ leptons for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of $\tau$ leptons for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of $\tau$ leptons for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of $\tau$ leptons for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of $\tau$ leptons for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of $\tau$ leptons for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for electrons in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of $\tau$ leptons for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of $\tau$ leptons for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|<1.2}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of $\tau$ leptons for 0.2<dRmin<0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of $\tau$ leptons for dRmin>0.4. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for muons in the $\mathrm{|\eta|>1.2}$ region, arising from the decay of $\tau$ leptons for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.2. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.2. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.2. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 1-prong $\tau_{h}$ in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.2. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{|\eta|<1.1}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.2. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{|\eta|>1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for dRmin>0.2. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}<2}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

Reconstruction efficiency and associated uncertainty maps for 3-prong $\tau_{h}$ in the $\mathrm{1.1<|\eta|<1.6}$ region, arising from the decay of SM gauge bosons (W/Z/h) for $\mathrm{N_{j}>1}$. The lepton efficiency is estimated in a simulated event sample for the ZZ process. For a given input generator-level $\mathrm{p_{T}}$, the efficiency map provides the probability distribution of the reconstructed $\mathrm{p_{T}}$, accounting for reconstruction and identification efficiency, and the $\mathrm{p_{T}}$ resolution. The x-axis and the y-axis represent bins in the reconstructed and generated lepton $\mathrm{p_{T}}$, respectively.

The SR distributions of the Fundamental $\mathrm{L_{T}+p_{T}^{miss}}$ table for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the type-III seesaw heavy fermions in the flavor-democratic scenario for $\mathrm{m_{\Sigma}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the Fundamental $\mathrm{S_{T}}$ table for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the vector-like $\tau$ lepton in the doublet scenario for $\mathrm{m_{\tau'}}$ = 1 TeV, before the fit, is also overlaid.

The SR distributions of the Advanced $\mathrm{S_{T}}$ table for the combined 2016-2018 data set. The detailed description of the bin numbers can be found in Tables 3-6 in the paper. The lower panel shows the ratio of observed events to the total expected background prediction. The gray band on the ratio represents the sum of statistical and systematic uncertainties in the SM background predictions. The expected SM background distributions and the uncertainties are shown before fitting the data under the background-only hypothesis. For illustration, an example signal hypothesis for the production of the scalar leptoquark coupled to a top quark and a muon for $\mathrm{m_{S}}$ = 1.4 TeV, before the fit, is also overlaid.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{add.}}_{1})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $|\eta(\mathrm{b}^{\mathrm{add.}}_{2})|$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{add.}}_{2})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $|\eta(\mathrm{b}\mathrm{b}^{\mathrm{add.}})|$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $\Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $\mathrm{m}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $\Delta\mathrm{R}_{\mathrm{b}\mathrm{b}}^{\mathrm{avg}}$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $|\eta(\mathrm{b}_{3})|$ in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space.

Normalized differential cross section of $|\eta(\mathrm{b}_{3})|$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}_{3})$ in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}_{3})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $|\eta(\mathrm{b}_{4})|$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}_{4})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $H^{\mathrm{b}}_{\mathrm{T}}$ in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space.

Normalized differential cross section of $H^{\mathrm{b}}_{\mathrm{T}}$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $|\Delta\phi(\mathrm{lj}^{\mathrm{extra}}_{1},\mathrm{b}_{\mathrm{soft}})|$ in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space.

Normalized differential cross section of $|\Delta\phi(\mathrm{lj}^{\mathrm{extra}}_{1},\mathrm{b}_{\mathrm{soft}})|$ in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space.

Normalized differential cross section of $|\eta(\mathrm{b}^{\mathrm{extra}}_{1})|$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{extra}}_{1})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $|\eta(\mathrm{b}^{\mathrm{extra}}_{2})|$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{extra}}_{2})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $|\eta(\mathrm{b}\mathrm{b}^{\mathrm{extra}})|$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $\Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $\mathrm{m}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{lj}^{\mathrm{extra}}_{1})$ in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space.

Normalized differential cross section of $p_{\mathrm{T}}(\mathrm{lj}^{\mathrm{extra}}_{1})$ in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space.

Normalized differential cross section of $H^{\mathrm{j}}_{\mathrm{T}}$ in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space.

Normalized differential cross section of $H^{\mathrm{j}}_{\mathrm{T}}$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $\mathrm{m}_{\mathrm{b}\mathrm{b}}^{\mathrm{max}}$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $H^{\mathrm{light}}_{\mathrm{T}}$ in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space.

Normalized differential cross section of $H^{\mathrm{light}}_{\mathrm{T}}$ in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space.

Normalized differential cross section of $N_{\mathrm{jets}}$ in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space.

Normalized differential cross section of $N_{\mathrm{jets}}$ in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space.

Normalized differential cross section of $N_{\mathrm{b}}$ in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space.

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}^{\mathrm{add.}}_{1})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{add.}}_{1})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}^{\mathrm{add.}}_{2})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{add.}}_{2})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}\mathrm{b}^{\mathrm{add.}})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $\Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $\mathrm{m}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $\Delta\mathrm{R}_{\mathrm{b}\mathrm{b}}^{\mathrm{avg}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}_{3})|$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}_{3})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}_{3})$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}_{3})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}_{4})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}_{4})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $H^{\mathrm{b}}_{\mathrm{T}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $H^{\mathrm{b}}_{\mathrm{T}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\Delta\phi(\mathrm{lj}^{\mathrm{extra}}_{1},\mathrm{b}_{\mathrm{soft}})|$ observable in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space

Correlation of parameters of interest in fit of $|\Delta\phi(\mathrm{lj}^{\mathrm{extra}}_{1},\mathrm{b}_{\mathrm{soft}})|$ observable in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}^{\mathrm{extra}}_{1})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{extra}}_{1})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}^{\mathrm{extra}}_{2})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{extra}}_{2})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $|\eta(\mathrm{b}\mathrm{b}^{\mathrm{extra}})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $\Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $\mathrm{m}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{lj}^{\mathrm{extra}}_{1})$ observable in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space

Correlation of parameters of interest in fit of $p_{\mathrm{T}}(\mathrm{lj}^{\mathrm{extra}}_{1})$ observable in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space

Correlation of parameters of interest in fit of $H^{\mathrm{j}}_{\mathrm{T}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $H^{\mathrm{j}}_{\mathrm{T}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $\mathrm{m}_{\mathrm{b}\mathrm{b}}^{\mathrm{max}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $H^{\mathrm{light}}_{\mathrm{T}}$ observable in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space

Correlation of parameters of interest in fit of $H^{\mathrm{light}}_{\mathrm{T}}$ observable in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space

Correlation of parameters of interest in fit of $N_{\mathrm{jets}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $N_{\mathrm{jets}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Correlation of parameters of interest in fit of $N_{\mathrm{b}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}^{\mathrm{add.}}_{1})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{add.}}_{1})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}^{\mathrm{add.}}_{2})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{add.}}_{2})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}\mathrm{b}^{\mathrm{add.}})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $\Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $\mathrm{m}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}\mathrm{b}^{\mathrm{add.}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $\Delta\mathrm{R}_{\mathrm{b}\mathrm{b}}^{\mathrm{avg}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}_{3})|$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}_{3})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}_{3})$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}_{3})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}_{4})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}_{4})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $H^{\mathrm{b}}_{\mathrm{T}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $H^{\mathrm{b}}_{\mathrm{T}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\Delta\phi(\mathrm{lj}^{\mathrm{extra}}_{1},\mathrm{b}_{\mathrm{soft}})|$ observable in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space

Covariances of all nuisance parameters and POIs in fit of $|\Delta\phi(\mathrm{lj}^{\mathrm{extra}}_{1},\mathrm{b}_{\mathrm{soft}})|$ observable in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}^{\mathrm{extra}}_{1})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{extra}}_{1})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}^{\mathrm{extra}}_{2})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}^{\mathrm{extra}}_{2})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $|\eta(\mathrm{b}\mathrm{b}^{\mathrm{extra}})|$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $\Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $\mathrm{m}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{b}\mathrm{b}^{\mathrm{extra}})$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{lj}^{\mathrm{extra}}_{1})$ observable in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space

Covariances of all nuisance parameters and POIs in fit of $p_{\mathrm{T}}(\mathrm{lj}^{\mathrm{extra}}_{1})$ observable in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space

Covariances of all nuisance parameters and POIs in fit of $H^{\mathrm{j}}_{\mathrm{T}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $H^{\mathrm{j}}_{\mathrm{T}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $\mathrm{m}_{\mathrm{b}\mathrm{b}}^{\mathrm{max}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $H^{\mathrm{light}}_{\mathrm{T}}$ observable in $\geq 6$ jets: $\geq 3 \mathrm{b}$, $\geq 3$ light phase space

Covariances of all nuisance parameters and POIs in fit of $H^{\mathrm{light}}_{\mathrm{T}}$ observable in $\geq 7$ jets: $\geq 4 \mathrm{b}$, $\geq 3$ light phase space

Covariances of all nuisance parameters and POIs in fit of $N_{\mathrm{jets}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $N_{\mathrm{jets}}$ observable in $\geq 6$ jets: $\geq 4 \mathrm{b}$ phase space

Covariances of all nuisance parameters and POIs in fit of $N_{\mathrm{b}}$ observable in $\geq 5$ jets: $\geq 3 \mathrm{b}$ phase space

Fiducial cross sections from the measurements of all observables, compared to predictions from different ttbb simulation approaches. For each of the normalized differential measurements the fiducial cross section in the respective phase space is also determined. In the paper only one representative observable is quoted for each fiducial phase space, while here the measured cross section with the uncertainties from the fit to the respective observable is summarized.

Correlation matrix associated to the statistical covariance matrix of the data and MC for the primary Lund jet plane density for AK8 jets in a one-dimensional representation with bin indices. The mapping between the bin indices and the physical binning can be imported from the XML file attached to this HepData record using the TUnfoldBinningXML class of ROOT (qualitatively, it corresponds to slicing the Lund plane horizontally from low kT to high kT).

Postfit score of the $\text{t}\bar{\text{t}}\text{Z}$ output node from the multiclass classifier in $\text{SR}_\text{3l,3j}$ for events with at least 2 b jets

Postfit score of the tWZ output node from the binary classifier in $\text{SR}_\text{3l,2j}$

$\text{p}_\text{T}$ of the leading jet in the $\text{SR}_\text{3l,2j}$

$\text{p}_\text{T}$ of the leading lepton in the $\text{SR}_\text{3l,2j}$

Max $\text{p}_\text{T}$ of the lepton-jet in the $\text{SR}_\text{3l,3j}$

Invariant mass of the system of leptons, jets, and $\vec{\text{p}}^\text{miss}_\text{T}$ in the $\text{SR}_\text{3l,3j}$

Two-dimensional likelihood scan of the signal strenghts of tWZ ($\mu_\text{tWZ}$) vs. $\text{t}\bar{\text{t}}\text{Z}$ ($\mu_{\text{t}\bar{\text{t}}\text{Z}}$). The blue lines show the 68%, 95%, and 99% confidence level contours. The black cross represents the best-fit value, while the red diamond the SM expectation

Two-dimensional likelihood scan of the signal strenghts of tWZ ($\mu_\text{tWZ}$) vs. $\text{t}\bar{\text{t}}\text{Z}$ ($\mu_{\text{t}\bar{\text{t}}\text{Z}}$). The blue lines show the 68%, 95%, and 99% confidence level contours. The black cross represents the best-fit value, while the red diamond the SM expectation

Two-dimensional exclusion limits for Dirac HNL pure electron coupling scenario