Slices of 2D distributions of observed events and the post-fit templates in the TT pass region, projected onto the plane of leading jet mass mJ1, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the TT pass region, projected onto the plane of leading jet mass mJ1, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the TT pass region, projected onto the plane of leading jet mass mJ1, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the LL pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the LL pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the LL pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the TT pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the TT pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the TT pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the semi-resolved pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the semi-resolved pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the semi-resolved pass region, projected onto the plane of corrected HH mass (mHH) mHH, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the semi-resolved pass region, projected onto the plane of leading jet mass mJ1, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the semi-resolved pass region, projected onto the plane of leading jet mass mJ1, including expected radion signal at 1.5 TeV.

Slices of 2D distributions of observed events and the post-fit templates in the semi-resolved pass region, projected onto the plane of leading jet mass mJ1, including expected radion signal at 1.5 TeV.

The observed (solid black line) and expected (dashed black line) upper limits at 95% CL on $\sigma$(pp->X)B(X->HH->4b) for the narrow spin-0 radion model. The green (yellow) bands represent one (two) standard deviations from the expected limit. The predicted theoretical cross sections are also shown.

The observed (solid black line) and expected (dashed black line) upper limits at 95% CL on $\sigma$(pp->X)B(X->HH->4b) for the narrow width spin-2 bulk graviton model. The green (yellow) bands represent one (two) standard deviations from the expected limit. The predicted theoretical cross sections are also shown.

The observed (solid black line) and expected (dashed black line) upper limits at 95% CL on $\sigma$(pp->X)B(X->HH->4b) for the 10%-width spin-0 radion model. The green (yellow) bands represent one (two) standard deviations from the expected limit. The predicted theoretical cross sections are also shown.

The observed (solid black line) and expected (dashed black line) upper limits at 95% CL on $\sigma$(pp->X)B(X->HH->4b) for the 10%-width spin-2 bulk graviton model. The green (yellow) bands represent one (two) standard deviations from the expected limit. The predicted theoretical cross sections are also shown.

Correlations of the ttH signal-strength modifiers in the different Higgs pT bins of the STXS measurement.

Observed and expected upper 95% CL limit on the tH signal strength modifier $\mu_{tH}$ with $\mu_{ttH}=1$ for different channels and years, where the uncertainties are uncorrelated between the channels and years, and in their combination. The one and two standard deviation confidence intervals on the expected limit are also listed (sigma).

Likelihood-ratio test statistic as a function of the ttH and tH signal strength modifiers $\mu_{ttH}$ and $\mu_{tH}$. The observed best fit point is $(\mu_{tH}, \mu_{ttH}) = (-3.83, +0.35)$.

Observed and expected likelihood ratio test statistic as a function of $\kappa_{t}$ and $\kappa_{V}$. The observed best fit point is $(\kappa_{t}, \kappa_{V}) = (+0.59, +1.40)$.

Observed and expected likelihood ratio test statistic as a function of $\kappa_{t}$ for $\kappa_{V}=1$. The observed best fit point is $\kappa_{t} = +0.54$.

Observed and expected likelihood ratio test statistic as a function of $\kappa_{t}$ and $\tilde{\kappa}_{t}$ with $\kappa_{V}=1$. The observed best fit point is $(\kappa_{t}, \tilde{\kappa}_{t}) = (+0.53, 0.00)$.

Observed and expected likelihood ratio test statistic as a function of $f_{CP}$. The overall modifier of the top-Higgs coupling strength is profiled such that the likelihood attains its minimum at each point in the plane, and $\kappa_{V}$ is set to 1. The observed best fit point is $f_{CP} = 0.00$.

Observed and expected likelihood ratio test statistic as a function of $\cos(\alpha)$. The overall modifier of the top-Higgs coupling strength is profiled such that the likelihood attains its minimum at each point in the plane, and $\kappa_{V}$ is set to 1. The observed best fit point is $\cos(\alpha) = +1.00$.

Observed and expected likelihood ratio test statistic as a function of $\kappa_{t}$ and $\tilde{\kappa}_{t}$ with $\kappa_{V}=1$, in the $H \rightarrow bb$, $H\rightarrow\gamma\gamma$, $H\rightarrow ZZ$, $H\rightarrow WW$, and $H\rightarrow\tau\tau$ decay channels and in their combination.

Observed and expected likelihood ratio test statistic as a function of $f_{CP}$, in the $H \rightarrow bb$, $H\rightarrow\gamma\gamma$, $H\rightarrow ZZ$, $H\rightarrow WW$, and $H\rightarrow\tau\tau$ decay channel and in their combination. The overall modifier of the top-Higgs coupling strength is profiled such that the likelihood attains its minimum at each point in the plane, and $\kappa_{V}$ is set to 1.

Observed and expected likelihood ratio test statistic as a function of $\cos(\alpha)$, in the $H \rightarrow bb$, $H\rightarrow\gamma\gamma$, $H\rightarrow ZZ$, $H\rightarrow WW$, and $H\rightarrow\tau\tau$ decay channels and in their combination. The overall modifier of the top-Higgs coupling strength is profiled such that the likelihood attains its minimum at each point in the plane, and $\kappa_{V}$ is set to 1.

non prompt $\psi(2S)$ $\lambda_\theta$

The product of detector acceptance and analysis selection efficiency in the muon channel as functions of the particle X mass. Three analysis requirements are applied consecutively: event reconstruction, HLT, and final signal selection. The product of detector acceptance and analysis selection efficiencies are shown at each stage in red, blue, and orange, respectively.

Background-only fit to data. The lower panel contains the pull distribution, defined as the difference between the data yield and the background prediction divided by their combined uncertainty (electron channel).

Background-only fit to data. The lower panel contains the pull distribution, defined as the difference between the data yield and the background prediction divided by their combined uncertainty (muon channel).

The systematic uncertainties affecting signal normalization (electron channel).

The systematic uncertainties affecting signal normalization (muon channel).

The 95% CL expected and observed limits on P P --> X --> W gamma as a function of the resonant mass with leptonic decays of W bosons (narrow width).

The 95% CL expected and observed limits on P P --> X --> W gamma as a function of the resonant mass with leptonic decays of W bosons (broad width).

The 95% CL expected and observed limits on P P --> X --> W gamma as a function of the resonant mass with both leptonic and hadronic decays of W bosons (narrow width).

The 95% CL expected and observed limits on P P --> X --> W gamma as a function of the resonant mass with both leptonic and hadronic decays of W bosons (broad width).

The observed local p-values for narrow resonance width hypotheses.

The observed local p-values for broad resonance width hypotheses.

Expected and observed exclusion limits at 95% CL in the asymptotic approximation, on the product of the production cross section and branching fraction into two photons for an additional SM-like Higgs boson, for the VBF plus VH processes, from the analysis of the combined data from 2016, 2017, and 2018.

Expected and observed exclusion limits at 95% CL in the asymptotic approximation, on the product of the production cross section and branching fraction into two photons for an additional SM-like Higgs boson, assuming 100% production via the VBF processes, from the analysis of the combined data from 2016, 2017, and 2018.

Expected and observed exclusion limits at 95% CL in the asymptotic approximation, on the product of the production cross section and branching fraction into two photons for an additional SM-like Higgs boson, assuming 100% production via the VH processes, from the analysis of the combined data from 2016, 2017, and 2018.

Histogram of the Hbb AK8 jet softdrop mass for data, simulated signal and background events, and the background yields estimated from data in region A.

Histogram of the Hbb AK8 jet softdrop mass for data and simulated signal and background events.

Histogram of $p_{T}(H) + p_{T}(W)$ at the LHE level.

The signal yield estimated by simulation, background yield predicted from data, and observed yield in the signal region.

Observed and expected BDT output in the signal region used for the extraction of the SM-like signal strength. The yields and uncertainties of the expected contributions are shown after the fit to the data. The rightmost bin includes the overflow.

Limits on the signal strength of SM VBS WH production

Observed and expected significance of the measurement of SM VBS WH production

95% confidence limits on the signal strength in the SM analysis

A scan of $-2\Delta\ln L$, where $L$ is the likelihood, for the SM analysis plotted as a function of the signal strength $\mu$ for the expected (red) and the observed (black) data.

The data, fitted signal, and background distributions for the VBS dijet mass in the $t\overline{t}$ control region of the SM analysis.

The data, fitted signal, and background distributions for the W+jets BDT score in the W+jets control region of the SM analysis.

Fitted SME coefficients and their uncertainties at 1$\sigma$ and 2$sigma$, measured in fits of single coefficients while the coefficients corresponding to the three other directions are left floating, within the $c_L$, $c_R$, $c$, and $d$ families. The error bar includes statistical and systematic uncertainties.

Uncertainty breakdown for SME fits of single coefficients while the coefficients corresponding to the three other directions are left floating, by splitting according to the treatment of time dependence:\ flat across sidereal time (flat luminosity component, background normalization, theory), correlated in sidereal time bins (trigger, luminosity stability and linearity, pileup, MC statistical uncertainty, single top quark decay in the SME), systematics uncorrelated in sidereal time bins (other experimental uncertainties), and statistical uncertainty.

Figure 3 top left. Expected and observed 95% CL upper limits on the product of the production cross section and branching fraction as a function of the RS graviton mass $m_{G}$ for the full Run 2 data set are shown. Expected $1\sigma$ and $2\sigma$ limit bands are shown in green and yellow, respectively

Figure 3 top right. Expected and observed 95% CL upper limits on the product of the production cross section and branching fraction as a function of the heavy higgs mass $m_{S}$ for the full Run 2 data set are shown. Expected $1\sigma$ and $2\sigma$ limit bands are shown in green and yellow, respectively

Figure 3 mid left. Expected and observed 95% CL upper limits on the product of the production cross section and branching fraction as a function of the RS graviton mass $m_{G}$ for the full Run 2 data set are shown. Expected $1\sigma$ and $2\sigma$ limit bands are shown in green and yellow, respectively

Figure 3 mid right. Expected and observed 95% CL upper limits on the product of the production cross section and branching fraction as a function of the heavy higgs mass $m_{S}$ for the full Run 2 data set are shown. Expected $1\sigma$ and $2\sigma$ limit bands are shown in green and yellow, respectively

Figure 3 bottom left. Expected and observed 95% CL upper limits on the product of the production cross section and branching fraction as a function of the RS graviton mass $m_{G}$ for the full Run 2 data set are shown. Expected $1\sigma$ and $2\sigma$ limit bands are shown in green and yellow, respectively

Figure 3 bottom right. Expected and observed 95% CL upper limits on the product of the production cross section and branching fraction as a function of the heavy higgs mass $m_{S}$ for the full Run 2 data set are shown. Expected $1\sigma$ and $2\sigma$ limit bands are shown in green and yellow, respectively

Figure 4 top left. Expected 95% CL upper limits on the product of the cross section and branching fraction as a function of the $m_{G}$ versus the resonance width for the full Run 2 data set.

Figure 4 top right. Observed 95% CL upper limits on the product of the cross section and branching fraction as a function of the $m_{G}$ versus the resonance width for the full Run 2 data set.

Figure 4 bottom left. Expected 95% CL upper limits on the product of the cross section and branching fraction as a function of the $m_{S}$ versus the resonance width for the full Run 2 data set.

Figure 4 bottom right. Observed 95% CL upper limits on the product of the cross section and branching fraction as a function of the $m_{S}$ versus the resonance width for the full Run 2 data set.

Figure 6. The $m_{\gamma\gamma}$ spectra and background prediction after nuisance paramter marginalization (post-fit) due to SM diphoton production ($\gamma\gamma$) and fake photon production (j$\gamma$, jj) for the EBEB, combining the 2016, 2017, and 2018 data sets. The prediction with a large extra dimensions signal (GRW convention with $M_{S}$ = 9 TeV) is also shown. The pull distributions, normalized to the statistical uncertainty only, are shown underneath the spectra. The last bin contains the overflow of events beyond $m_{\gamma\gamma}$ > 3.5 TeV.

Figure 6. The $m_{\gamma\gamma}$ spectra and background prediction after nuisance paramter marginalization (post-fit) due to SM diphoton production ($\gamma\gamma$) and fake photon production (j$\gamma$, jj) for the EBEE, combining the 2016, 2017, and 2018 data sets. The prediction with a large extra dimensions signal (GRW convention with $M_{S}$ = 9 TeV) is also shown. The pull distributions, normalized to the statistical uncertainty only, are shown underneath the spectra. The last bin contains the overflow of events beyond $m_{\gamma\gamma}$ > 3.5 TeV.

Figure 7. The exclusion limit for the clockwork framework over the k--M5 parameter space. The shaded region denotes where the theory becomes nonperturbative. The region below and to the left of the solid line constitutes the excluded region. Expected 1std and 2std limit bands are shown in green and yellow, respectively.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2018 data for the high-mass selection, connecting the 2M1L and 3M regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass above 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2018 data for the high-mass selection, connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass above 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

The five-jet invariant mass distribution in the tH channel (black markers) after the high-mass selection in the QCD multijet 3T control region for the 2018 data set. The histograms are the corresponding reweighted 2M1L distributions. The background distribution is normalized to the number of entries in the data. The shaded area corresponds to the statistical uncertainties in the 2M1L control regions. A potential 900 GeV T' signal (red cross-hatched histogram) is added to the background histogram demonstrating a negligible contribution. Similar results are observed in the tZ channel, and for the other years, but with slightly larger statistical uncertainties.

The five-jet invariant mass distribution in the tH channel (black markers) after the high-mass selection in the ttbar 2T1L control region for the 2018 data set. The histograms are the corresponding reweighted 2M1L distributions. The background distribution is normalized to the number of entries in the data. The shaded area corresponds to the statistical uncertainties in the 2M1L control regions. A potential 900 GeV T' signal (red cross-hatched histogram) is added to the background histogram demonstrating a negligible contribution. Similar results are observed in the tZ channel, and for the other years, but with slightly larger statistical uncertainties.

The five-jet invariant mass distribution in the tH channel (black markers) after the high-mass selection in the 3M signal region for the 2018 data set. The histograms are the corresponding reweighted 2M1L distributions. The background distribution is normalized to the number of entries in the data. The shaded area corresponds to the statistical uncertainties in the 2M1L control regions. A potential 900 GeV T' signal (red cross-hatched histogram) is added to the background histogram demonstrating a negligible contribution. Similar results are observed in the tZ channel, and for the other years, but with slightly larger statistical uncertainties.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the high-mass selection. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the high-mass selection. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the high-mass selection. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the all-tH channel.

Observed p-values when considering the tH channel for each year and their combination.

Observed and expected 95% CL upper limits on the product of the production cross section for a single VLQ T production and the branching ration given as functions of $m_{T'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a single VLQ T production and the branching ration given as functions of $m_{T'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a single VLQ T production and the branching ration given as functions of $m_{T'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Observed and expected 95% CL upper limits on the product of the production cross section for a single VLQ T production and the branching ration given as functions of $m_{T'}$ for a relative width of 1%. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The solid red curves show the theoretical expectation at LO.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2016 data for the low-mass selection, connecting the 2M1L and 3M regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2017 data for the low-mass selection, connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2016 data for the low-mass selection, connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2017 data for the low-mass selection, connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the low-mass analysis only signals with mass below 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2016 data for the high-mass selection, connecting the 2M1L and 3M regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass above 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2017 data for the high-mass selection, connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass above 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2016 data for the high-mass selection, connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass above 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Weights from b tagging efficiency ratios as functions of the five-jet invariant mass in 2017 data for the high-mass selection, connecting the 3M and 3T regions. The red line corresponds to the central value of the transfer function and the shaded area represents the 95% confidence level uncertainty band. For the high-mass analysis only signals with mass above 800GeV are tested, so primarily the lower part of the distribution contributes to the final result.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 2M1L regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3M regions for the high-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the low-mass selections. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 700 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Background: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the high-mass selection. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Data: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the high-mass selection. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Signal: Five-jet invariant mass distributions after a background-only fit (blue histogram) to the complete dataset (black markers) in the 3T regions for the high-mass selection. The dashed blue band represents the uncertainty on the fitted background estimate, and red dashed line shows the expected signal distribution for a 900 GeV T'. The fit is performed on the combined data from all 3 years in the tZ and tH channel.

Unfolded groomed jet radius distribution in PbPb normalized to the number of jets that pass the $x_J$>0.4 selection. All systematic uncertainties are bin-to-bin fully correlated (allowing for sign-changes bin-to-bin).The covaraince matrices are provided for the statistical uncertainties from data and MC in this HepData record.The negative (-0.05,0) bin accounts for jets that failed the soft-drop grooming condition.

Covariance matrix of the statistical uncertainty in data for the unfolded groomed jet radius distribution in PbPb for jets that pass the $x_J$>0.4 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Covariance matrix of the statistical uncertainty in MC for the unfolded groomed jet radius distribution in PbPb for jets that pass the $x_J$>0.4 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Unfolded jet girth distribution in PbPb normalized to the number of jets that pass the $x_J$>0.8 selection. All systematic uncertainties are bin-to-bin fully correlated (allowing for sign-changes bin-to-bin).The covaraince matrices are provided for the statistical uncertainties from data and MC in this HepData record.

Covariance matrix of the statistical uncertainty in data for the unfolded jet girth distribution in PbPb for jets that pass the $x_J$>0.4 selection.The bin indices correspond to the bins used in the jet girth distribution.

Covariance matrix of the statistical uncertainty in MC for the unfolded jet girth distribution in PbPb for jets that pass the $x_J$>0.8 selection.The bin indices correspond to the bins used in the jet girth distribution.

Unfolded groomed jet radius distribution in PbPb normalized to the number of jets that pass the $x_J$>0.8 selection. All systematic uncertainties are bin-to-bin fully correlated (allowing for sign-changes bin-to-bin).The covaraince matrices are provided for the statistical uncertainties from data and MC in this HepData record.The negative (-0.05,0) bin accounts for jets that failed the soft-drop grooming condition.

Covariance matrix of the statistical uncertainty in data for the unfolded groomed jet radius distribution in PbPb for jets that pass the $x_J$>0.8 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Covariance matrix of the statistical uncertainty in MC for the unfolded groomed jet radius distribution in PbPb for jets that pass the $x_J$>0.8 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Unfolded jet girth distribution in pp normalized to the number of jets that pass the $x_J$>0.4 selection. All systematic uncertainties are bin-to-bin fully correlated (allowing for sign-changes bin-to-bin).The covaraince matrices are provided for the statistical uncertainties from data and MC in this HepData record.

Covariance matrix of the statistical uncertainty in data for the unfolded jet girth distribution in pp for jets that pass the $x_J$>0.4 selection.The bin indices correspond to the bins used in the jet girth distribution.

Covariance matrix of the statistical uncertainty in MC for the unfolded jet girth distribution in pp for jets that pass the $x_J$>0.4 selection.The bin indices correspond to the bins used in the jet girth distribution.

Unfolded groomed jet radius distribution in pp normalized to the number of jets that pass the $x_J$>0.4 selection. All systematic uncertainties are bin-to-bin fully correlated (allowing for sign-changes bin-to-bin).The covaraince matrices are provided for the statistical uncertainties from data and MC in this HepData record.The negative (-0.05,0) bin accounts for jets that failed the soft-drop grooming condition.

Covariance matrix of the statistical uncertainty in data for the unfolded groomed jet radius distribution in pp for jets that pass the $x_J$>0.4 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Covariance matrix of the statistical uncertainty in MC for the unfolded groomed jet radius distribution in pp for jets that pass the $x_J$>0.4 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Unfolded jet girth distribution in pp normalized to the number of jets that pass the $x_J$>0.8 selection. All systematic uncertainties are bin-to-bin fully correlated (allowing for sign-changes bin-to-bin).The covaraince matrices are provided for the statistical uncertainties from data and MC in this HepData record.

Covariance matrix of the statistical uncertainty in data for the unfolded jet girth distribution in pp for jets that pass the $x_J$>0.8 selection.The bin indices correspond to the bins used in the jet girth distribution.

Covariance matrix of the statistical uncertainty in MC for the unfolded jet girth distribution in pp for jets that pass the $x_J$>0.8 selection.The bin indices correspond to the bins used in the jet girth distribution.

Unfolded groomed jet radius distribution in pp normalized to the number of jets that pass the $x_J$>0.8 selection. All systematic uncertainties are bin-to-bin fully correlated (allowing for sign-changes bin-to-bin).The covaraince matrices are provided for the statistical uncertainties from data and MC in this HepData record.The negative (-0.05,0) bin accounts for jets that failed the soft-drop grooming condition.

Covariance matrix of the statistical uncertainty in data for the unfolded groomed jet radius distribution in pp for jets that pass the $x_J$>0.8 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Covariance matrix of the statistical uncertainty in MC for the unfolded groomed jet radius distribution in pp for jets that pass the $x_J$>0.8 selection.The bin indices correspond to the bins used in the groomed jet radius distribution.

Ratio of yields in PbPb to pp for the unfolded jet girth distribution normalized to the number of jets that pass the $x_J$>0.4 selection. Each uncertainty is symmetrized and added in quadrature.All systematic uncertainties have been obtained assuming the PbPb and pp uncertainties are uncorrelated.

Ratio of yields in PbPb to pp for the unfolded groomed jet radius distribution normalized to the number of jets that pass the $x_J$>0.4 selection. Each uncertainty is symmetrized and added in quadrature.All systematic uncertainties have been obtained assuming the PbPb and pp uncertainties are uncorrelated.The negative (-0.05,0) bin accounts for jets that failed the soft-drop grooming condition.

Ratio of yields in PbPb to pp for the unfolded jet girth distribution normalized to the number of jets that pass the $x_J$>0.8 selection. Each uncertainty is symmetrized and added in quadrature.All systematic uncertainties have been obtained assuming the PbPb and pp uncertainties are uncorrelated.

Ratio of yields in PbPb to pp for the unfolded groomed jet radius distribution normalized to the number of jets that pass the $x_J$>0.8 selection. Each uncertainty is symmetrized and added in quadrature.All systematic uncertainties have been obtained assuming the PbPb and pp uncertainties are uncorrelated.The negative (-0.05,0) bin accounts for jets that failed the soft-drop grooming condition.

Observed differential $m_{\Gamma\Gamma}$ mass spectrum for 0.4$ < \alpha < $0.44%, where $\alpha = m_\phi/m_X$. The cross-section is calculated by dividing the event yield by the bin width and luminosity.

Observed differential $m_{\Gamma\Gamma}$ mass spectrum for 0.49$ < \alpha < $0.55%, where $\alpha = m_\phi/m_X$. The cross-section is calculated by dividing the event yield by the bin width and luminosity.

Observed differential $m_{\Gamma\Gamma}$ mass spectrum for 0.55$ < \alpha < $0.6%, where $\alpha = m_\phi/m_X$. The cross-section is calculated by dividing the event yield by the bin width and luminosity.

Observed differential $m_{\Gamma\Gamma}$ mass spectrum for 0.6$ < \alpha < $0.7%, where $\alpha = m_\phi/m_X$. The cross-section is calculated by dividing the event yield by the bin width and luminosity.

Observed differential $m_{\Gamma\Gamma}$ mass spectrum for 0.7$ < \alpha < $0.81%, where $\alpha = m_\phi/m_X$. The cross-section is calculated by dividing the event yield by the bin width and luminosity.

Observed differential $m_{\Gamma\Gamma}$ mass spectrum for 0.81$ < \alpha < $3.0%, where $\alpha = m_\phi/m_X$. The cross-section is calculated by dividing the event yield by the bin width and luminosity.

Two dimensional plot where the Z-axis is the observed (paper Fig. 3) or expected (Supp. Fig. 20) 95% CL upper limits on the product of the cross section for $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

Expected exclusion limits for $m_X N / f = 1/9$ for signal cross sections for for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$.

Expected exclusion limits for $m_X N / f = 1$ for signal cross sections for for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.005$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.006$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.007$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.008$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.009$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.01$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.011$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.012$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.013$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.014$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.015$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.016$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.017$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.018$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.019$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.02$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.021$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.022$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.023$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.024$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of $X \to \phi\phi \to (\gamma\gamma)(\gamma\gamma)$, with $\alpha = m_\phi/m_X = 0.025$. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_X N / f$.

Signal fractional efficiencies

Local significance in units of standard deviations in the $(m_\phi/m_X) − m_X$ plane.

Observed limits at the 95% CL on $C_{\mathrm{LL}}^{2332}$ vs. $C_{\mathrm{LR}}^{2332}$ (dark blue) showing the full range.

Observed limits at the 95% CL on $C_{\mathrm{LR}}^{2233}$ vs. $C_{\mathrm{LL}}^{2233}$ (light blue) showing the full range.

Observed limits at the 95% CL on $C_{\mathrm{LL}}^{2233}$ vs. $C_{\mathrm{LR}}^{2332}$ (red) showing an enlarged view of the region around values of 0.

Observed limits at the 95% CL on $C_{\mathrm{LR}}^{2233}$ vs. $C_{\mathrm{LL}}^{2332}$ (orange) showing an enlarged view of the region around values of 0.

Observed limits at the 95% CL on $C_{\mathrm{LL}}^{2332}$ vs. $C_{\mathrm{LR}}^{2332}$ (dark blue) showing an enlarged view of the region around values of 0.

Electroweak corrections for the $R_{\Delta\phi}(p_\mathrm{T})$ distribution. The multiplicative combination is considered as the main electroweak correction factor and the additive combination as an uncertainty estimate.

Upper 95% CL limits on HH signal cross section scanned over the $\kappa_{\lambda}$ parameter while fixing the $\kappa_{2V}$ and $\kappa_{V}$ to their SM-predicted values.

Upper 95% CL limits on VHH signal cross section scanned over the $\kappa_{2V}$ parameter while fixing the $\kappa_{\lambda}$ and $\kappa_{V}$ to their SM-predicted values.

Upper 95% CL limits on HH signal cross section scanned over the $\kappa_{2V}$ parameter while fixing the $\kappa_{\lambda}$ and $\kappa_{V}$ to their SM-predicted values.

Upper 95% CL limits on VHH signal cross section scanned over the $\kappa_{V}$ parameter while fixing the $\kappa_{2V}$ and $\kappa_{\lambda}$ to their SM-predicted values.

Upper 95% CL limits on HH signal cross section scanned over the $\kappa_{V}$ parameter while fixing the $\kappa_{2V}$ and $\kappa_{\lambda}$ to their SM-predicted values.

Differential cross sections normalized to the fiducial cross section as a function of the $p_T$ of the second-highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the $|\eta|$ of the highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the $|\eta|$ of the second-highest-$p_T$ jet

Differential cross sections normalized to the fiducial cross section as a function of the pseudorapidity difference between the two highest-$p_T$ jets in the event

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the two highest-$p_T$ jets in the event

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 0 jet, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 1 jet, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 2 jets, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with at least 3 jets, in the on-shell ZZ region

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 0 jet, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 1 jet, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with 2 jets, in the full $m_{4l}$ range

Differential cross sections normalized to the fiducial cross section as a function of the invariant mass of the four-lepton system in events with at least 3 jets, in the full $m_{4l}$ range

Upper limits at 95% CL on $\sigma$B(pp→X→Y(bb)H) for combination as a function of m$_Y$.

Expected upper limits at 95% CL on the X → HH cross section as a function of mX from the combination of the three channels bbγγ, bbττ, and bbbb for an integrated luminosity of 3000 fb−1 with different assumptions on the systematic uncertainties.

Expected upper limits on the X → YH cross section times B(Y → bb) for mX ≤ 1000 GeV at 95 % CL as a function of m$_X$ and m$_Y$ from the combination of all considered channels projected to an integrated luminosity of 3000 fb$^{-1}$. Systematic uncertainties according to the ”S2” scenario are assumed.

Example description

Example description

Example description

Observed and expected 95% CL upper limits on the nonresonant HH production via vector boson fusion cross section obtained for both single-lepton and dilepton channels, and from their combination

Observed and expected 95% CL upper limits on the nonresonant HH production cross section for two different benchmark scenarios “JHEP04(2016)01” and “JHEP03(2020)91”

Observed and expected 95% CL upper limits on the nonresonant HH production cross section as a function of the Higgs boson self-coupling strength modifier κλ All Higgs boson couplings other than λ are assumed to have the values predicted by the SM

Observed and expected 95% CL upper limits on the nonresonant HH production via VBF cross section as a function of the effective coupling κ2V. The ggF contribution in this case is set to the SM expectation. All other Higgs boson couplings are assumed to have the values predicted by the SM.

Observed and expected 95% CL upper limits on the nonresonant HH production cross section as a function of the effective coupling c2. All other Higgs boson couplings are assumed to have the values predicted in the SM

The expected upper $68\%$ exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'}=1.0$ GeV ($A' \rightarrow \pi^+\pi^-$ with $\mathcal{BR}=100\%$).

The expected lower $68\%$ exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'}=1.0$ GeV ($A' \rightarrow \pi^+\pi^-$ with $\mathcal{BR}=100\%$).

The $95\%$ CL observed upper limits on the cross section shown as a functions of $T_D$ and the pseudoscalar mass $m_{\phi}$ for $m_S = 300$ GeV, for the case $m_{A'}=1.0$ GeV ($A' \rightarrow \pi^+\pi^-$ with $\mathcal{BR}=100\%$).

The $95\%$ CL observed upper limits on the cross section shown as a functions of $T_D$ and the pseudoscalar mass $m_{\phi}$ for $m_S = 600$ GeV, for the case $m_{A'}=1.0$ GeV ($A' \rightarrow \pi^+\pi^-$ with $\mathcal{BR}=100\%$).

The $95\%$ CL observed upper limits on the cross section shown as a functions of $T_D$ and the pseudoscalar mass $m_{\phi}$ for $m_S = 1000$ GeV, for the case $m_{A'}=1.0$ GeV ($A' \rightarrow \pi^+\pi^-$ with $\mathcal{BR}=100\%$).

The observed exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.5$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 40, 40, 20\%$).

The expected exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.5$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 40, 40, 20\%$).

The expected upper $68\%$ exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.5$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 40, 40, 20\%$).

The expected lower $68\%$ exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.5$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 40, 40, 20\%$).

The observed exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.7$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 15, 15, 70\%$).

The expected exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.7$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 15, 15, 70\%$).

The expected upper $68\%$ exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.7$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 15, 15, 70\%$).

The expected lower $68\%$ exclusions for the nominal $\sigma$ cross section in the plane of $m_{\phi}$ and $T_D$, for various $m_S$ values, for the case $m_{A'} = 0.7$ GeV ($A' \rightarrow e^+e^-, \mu^+\mu^-, \pi^+\pi^-$ with $\mathcal{BR} = 15, 15, 70\%$).

For a selection of signal samples in era 2018 with $m_{\phi} = T_D = 3$ GeV, the relative efficiencies and the total efficiency with respect to the selection on the generator-level $H_T$,$H^{gen}_T > 1000$ GeV.

The $95\%$ CL cross section limit for all values of $m_{A'}$, $T_D$, $m_{\phi}$, and $m_S$ used in the scan.

Expected and observed 95% CL upper limits on $|V_\mathrm{N}|^2$ as a function of $m_\mathrm{N}$ for the mixing scenario ($r_e$, $r_\mu$, $r_\tau$) = (0.33, 0.33, 0.33) and in the Majorana scenario.

Expected and observed 95% CL upper limits on $|V_\mathrm{N}|^2$ as a function of $m_\mathrm{N}$ for the mixing scenario ($r_e$, $r_\mu$, $r_\tau$) = (0.0, 1.0, 0.0) and in the Dirac-like scenario.

Expected and observed 95% CL upper limits on $|V_\mathrm{N}|^2$ as a function of $m_\mathrm{N}$ for the mixing scenario ($r_e$, $r_\mu$, $r_\tau$) = (0.0, 0.5, 0.5) and in the Dirac-like scenario.

Expected and observed 95% CL upper limits on $|V_\mathrm{N}|^2$ as a function of $m_\mathrm{N}$ for the mixing scenario ($r_e$, $r_\mu$, $r_\tau$) = (0.5, 0.5, 0.0) and in the Dirac-like scenario.

Expected and observed 95% CL upper limits on $|V_\mathrm{N}|^2$ as a function of $m_\mathrm{N}$ for the mixing scenario ($r_e$, $r_\mu$, $r_\tau$) = (0.33, 0.33, 0.33) and in the Dirac-like scenario.

Observed 95% CL lower limits on $c\tau_\mathrm{N}$ as functions of the mixing ratios ($r_e$, $r_\mu$, $r_\tau$) for a fixed N mass of 1.0 GeV in the Majorana scenario.

Observed 95% CL lower limits on $c\tau_\mathrm{N}$ as functions of the mixing ratios ($r_e$, $r_\mu$, $r_\tau$) for a fixed N mass of 1.5 GeV in the Majorana scenario.

Observed 95% CL lower limits on $c\tau_\mathrm{N}$ as functions of the mixing ratios ($r_e$, $r_\mu$, $r_\tau$) for a fixed N mass of 2.0 GeV in the Majorana scenario.

Observed 95% CL lower limits on $c\tau_\mathrm{N}$ as functions of the mixing ratios ($r_e$, $r_\mu$, $r_\tau$) for a fixed N mass of 1.0 GeV in the Dirac-like scenario.

Observed 95% CL lower limits on $c\tau_\mathrm{N}$ as functions of the mixing ratios ($r_e$, $r_\mu$, $r_\tau$) for a fixed N mass of 1.5 GeV in the Dirac-like scenario.

Observed 95% CL lower limits on $c\tau_\mathrm{N}$ as functions of the mixing ratios ($r_e$, $r_\mu$, $r_\tau$) for a fixed N mass of 2.0 GeV in the Dirac-like scenario.

Observed profiled likelihood on $f_{\Lambda1}$ using Approach 1. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{a3}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{a3}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on $f_{\Lambda1}^{Z\gamma}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{\Lambda1}^{Z\gamma}$ using Approach 1. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are fixed to zero. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{a2}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Observed profiled likelihood on $f_{\Lambda1}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters. Axis scales are varied to improve the visibility of important features.

Expected profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters.

Observed profiled likelihood on $f_{a3}$ using Approach 2. The other two anomalous coupling cross section fractions are left floating in the fit. The signal strength modifiers are treated as free parameters.

Expected profiled likelihood on the $\delta c_{Z}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $\delta c_{Z}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on the $c_{Z\Box}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $c_{Z\Box}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on the $c_{ZZ}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $c_{ZZ}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on the $\tilde{c}_{ZZ}$ coupling of the SMEFT Higgs basis.

Observed profiled likelihood on the $\tilde{c}_{ZZ}$ coupling of the SMEFT Higgs basis.

Expected profiled likelihood on $f_{a3}^{ggH}$. The signal strength modifiers and the CP-odd HVV anomalous coupling cross section fraction are treated as free parameters.

Observed profiled likelihood on $f_{a3}^{ggH}$. The signal strength modifiers and the CP-odd HVV anomalous coupling cross section fraction are treated as free parameters.

The 95% CL limits on $|V_{\mu N}|^2$ as a function of the HNL mass for a Majorana HNL.

The 95% CL limits on $|V_{\tau N}|^2$ as a function of the HNL mass for a Majorana HNL.

The 95% CL limits on $|V_{\tau N}|^2$ as a function of the HNL mass for a Majorana HNL.

The 95% CL limits on $|V_{eN}|^2$ as a function of the HNL mass for a Dirac HNL.

The 95% CL limits on $|V_{eN}|^2$ as a function of the HNL mass for a Dirac HNL.

The 95% CL limits on $|V_{\mu N}|^2$ as a function of the HNL mass for a Dirac HNL.

The 95% CL limits on $|V_{\mu N}|^2$ as a function of the HNL mass for a Dirac HNL.

The 95% CL limits on $|V_{\tau N}|^2$ as a function of the HNL mass for a Dirac HNL.

The 95% CL limits on $|V_{\tau N}|^2$ as a function of the HNL mass for a Dirac HNL.

Comparison of the number of predicted background events and the observed events in search regions La. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied.

Comparison of the number of predicted background events and the observed events in search regions La. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied.

Signal yields predicted in search regions La as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino.

Signal yields predicted in search regions La as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino.

Signal yields predicted in search regions La as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino.

Signal yields predicted in search regions La as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino.

Signal yields predicted in search regions La as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino.

Signal yields predicted in search regions La as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino.

Comparison of the number of predicted background events and the observed events in search regions Lb. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied.

Comparison of the number of predicted background events and the observed events in search regions Lb. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied.

Signal yields predicted in search regions Lb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino.

Signal yields predicted in search regions Lb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino.

Signal yields predicted in search regions Lb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino.

Signal yields predicted in search regions Lb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino.

Signal yields predicted in search regions Lb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino.

Signal yields predicted in search regions Lb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino.

Comparison of the number of predicted background events and the observed events in search regions Ha. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied.

Comparison of the number of predicted background events and the observed events in search regions Ha. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied.

Signal yields predicted in search regions Ha as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino.

Signal yields predicted in search regions Ha as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino.

Signal yields predicted in search regions Ha as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino.

Signal yields predicted in search regions Ha as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino.

Signal yields predicted in search regions Ha as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino.

Signal yields predicted in search regions Ha as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino.

Comparison of the number of predicted background events and the observed events in search regions Hb. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Comparison of the number of predicted background events and the observed events in search regions Hb. The predicted background yields are shown with the values of the normalizations and nuisance parameters obtained in the background-only fit applied. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Signal yields predicted in search regions Hb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Signal yields predicted in search regions Hb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and an electron neutrino. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Signal yields predicted in search regions Hb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Signal yields predicted in search regions Hb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a muon neutrino. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Signal yields predicted in search regions Hb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Signal yields predicted in search regions Hb as function of HNL mass and coupling strength for a scenario with exclusive coupling between a Majorana HNL and a tau neutrino. Search regions Hb2 and Hb3 are merged for final states including a hadronically decayed tau lepton. This is represented by the value of -1 in the Hb2 entry.

Covariance matrix for the postfit background prediction in signal region bins La.

Covariance matrix for the postfit background prediction in signal region bins La.

Covariance matrix for the postfit background prediction in signal region bins Lb.

Covariance matrix for the postfit background prediction in signal region bins Lb.

Covariance matrix for the postfit background prediction in signal region bins Ha.

Covariance matrix for the postfit background prediction in signal region bins Ha.

Covariance matrix for the postfit background prediction in signal region bins Hb.

Covariance matrix for the postfit background prediction in signal region bins Hb.

Simulated signal yields passing each stage of the low mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and an electron neutrino.

Simulated signal yields passing each stage of the low mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and an electron neutrino.

Simulated signal yields passing each stage of the low mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a muon neutrino.

Simulated signal yields passing each stage of the low mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a muon neutrino.

Simulated signal yields passing each stage of the low mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a tau neutrino.

Simulated signal yields passing each stage of the low mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a tau neutrino.

Simulated signal yields passing each stage of the high mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and an electron neutrino.

Simulated signal yields passing each stage of the high mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and an electron neutrino.

Simulated signal yields passing each stage of the high mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a muon neutrino.

Simulated signal yields passing each stage of the high mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a muon neutrino.

Simulated signal yields passing each stage of the high mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a tau neutrino.

Simulated signal yields passing each stage of the high mass region selection as function of HNL mass and signal strength. Shown for exclusive coupling between a Majorana HNL and a tau neutrino.

Comparison of hits distributions for events with muons from \zmm between data and simulation, for CSC clusters (left) and DT clusters (right), using data collected in 2017 and the simulation of the corresponding data-taking conditions. The data sample is selected by requiring a two-muon invariant mass consistent with a Z boson and one of the muons is matched to an MDS cluster. Data-to-simulation correction factors are applied to the \zmm simulation. Only statistical uncertainties are included in the figure. Distributions made using data collected in 2016 and 2018 are found to have similar shape as the 2017 data sample.

Comparison of hits distributions for events with muons from \zmm between data and simulation, for CSC clusters (left) and DT clusters (right), using data collected in 2017 and the simulation of the corresponding data-taking conditions. The data sample is selected by requiring a two-muon invariant mass consistent with a Z boson and one of the muons is matched to an MDS cluster. Data-to-simulation correction factors are applied to the \zmm simulation. Only statistical uncertainties are included in the figure. Distributions made using data collected in 2016 and 2018 are found to have similar shape as the 2017 data sample.

The expected and observed number of events in the signal region (bin D) of different event categories. Signal yields of a 2 GeV Majorana HNL with the mean proper decay length of 1 m are added to the expected background.

Expected and observed upper 95% CL limits on |VNμ|2 as functions of the HNL mass(mN) for a Majorana HNL. For these limit calculations, the HNL is assumed to mix with a single lepton flavor state only. The difference between the expected and observed limits on |VNμ|2 are not visible in this figure.

Expected and observed upper 95% CL limits on |VNμ|2 as functions of the HNL mass(mN) for a Dirac HNL. For these limit calculations, the HNL is assumed to mix with a single lepton flavor state only. The difference between the expected and observed limits on |VNμ|2 are not visible in this figure.

Expected and observed upper 95% CL limits on |VNe|2 as functions of the HNL mass(mN) for a Majorana HNL. For these limit calculations, the HNL is assumed to mix with a single lepton flavor state only. The difference between the expected and observed limits on |VNμ|2 are not visible in this figure.

Expected and observed upper 95% CL limits on |VNe|2 as functions of the HNL mass(mN) for a Dirac HNL. For these limit calculations, the HNL is assumed to mix with a single lepton flavor state only. The difference between the expected and observed limits on |VNμ|2 are not visible in this figure.

Expected and observed upper 95% CL limits on |VNtau|2 as functions of the HNL mass(mN) for a Majorana HNL. For these limit calculations, the HNL is assumed to mix with a single lepton flavor state only. The tau neutrino mixing limit is obtained by combining the results from the electron and muon channels. The difference between the expected and observed limits on |VNμ|2 are not visible in this figure.

Expected and observed upper 95% CL limits on |VNtau|2 as functions of the HNL mass(mN) for a Dirac HNL. For these limit calculations, the HNL is assumed to mix with a single lepton flavor state only. The tau neutrino mixing limit is obtained by combining the results from the electron and muon channels. The difference between the expected and observed limits on |VNμ|2 are not visible in this figure.

The largest values of the Majorana HNL mass that are excluded at 95% CL are shown as a function of the mixing matrix elements squared ratios fl with the three lepton generations, considering a fixed mass of 1.5 GeV.

The largest values of the Dirac HNL mass that are excluded at 95% CL are shown as a function of the mixing matrix elements squared ratios fl with the three lepton generations, considering a fixed mass of 1.5 GeV.

The largest values of the Majorana HNL mass that are excluded at 95% CL are shown as a function of the mixing matrix elements squared ratios fl with the three lepton generations, considering a mean proper decay length of 1 m.

The largest values of the Dirac HNL mass that are excluded at 95% CL are shown as a function of the mixing matrix elements squared ratios fl with the three lepton generations, considering a mean proper decay length of 1 m.

Measured mass

Measured mass difference

Measured mass difference

Measured natural width

Measured natural width

The measured inclusive ratio of production cross sections

The measured inclusive ratio of production cross sections

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.

Overall efficiencies in the STA-STA (green) and TMS-TMS (red) dimuon categories, as well as their combination (black) as a function of $c\tau$ for the HAHM signal events with $m(Z_D) = 20\ GeV$. The solid curves show efficiencies achieved with the 2022 Run 3 triggers, whereas dashed curves show efficiencies for the subset of events selected by the triggers used in the 2018 Run 2 analysis. The efficiency is defined as the fraction of signal events that satisfy the criteria of the indicated trigger as well as the full set of offline selection criteria. The lower panel shows the relative improvement of the overall signal efficiency brought in by improvements in the trigger.

Comparison of the observed (black points) and expected (histograms) numbers of events in nonoverlapping $m_{\mu \mu}$ intervals in the STA-STA dimuon category, in the signal region optimized for the HAHM model. Yellow and green stacked histograms represent mean expected background contributions from QCD and DY, respectively, while statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow. All uncertainties shown are statistical only.

Comparison of the observed (black points) and expected (histograms) numbers of events in nonoverlapping $m_{\mu \mu}$ intervals in the STA-STA dimuon category, in the signal region optimized for the HAHM model. Yellow and green stacked filled histograms represent mean expected background contributions from QCD and DY, respectively, while statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of the observed (black points) and expected (histograms) numbers of events in nonoverlapping $m^{corr}_{\mu\mu}$ intervals in the STA-STA dimuon category, in the signal region optimized for the RPV SUSY model. Yellow and green stacked histograms represent mean expected background contributions from QCD and DY, respectively, while statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow. All uncertainties shown are statistical only.

Comparison of the observed (black points) and expected (histograms) numbers of events in nonoverlapping $m^{corr}_{\mu\mu}$ intervals in the STA-STA dimuon category, in the signal region optimized for the RPV SUSY model. Yellow and green stacked filled histograms represent mean expected background contributions from QCD and DY, respectively, while statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Distribution of min($d_0 / \sigma_{d_0}$) for TMS-TMS dimuons with $|\Delta\Phi| < \pi/30$, for events in all mass intervals combined. Events are required to satisfy all nominal selection criteria with the exception of the $d_0 / \sigma_{d_0}$ requirement. Notations are as in the Fig. 10 caption.

Distribution of min($d_0 / \sigma_{d_0}$) for TMS-TMS dimuons with $|\Delta\Phi| < \pi/30$, for events in all mass intervals combined, for both the validation (min($d_0 / \sigma_{d_0}$) < 6) and signal (min($d_0 / \sigma_{d_0}$) > 6) regions. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. Statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. Events are required to satisfy all nominal selection criteria with the exception of the $d_0 / \sigma_{d_0}$ requirement. The last bin includes events in the histogram overflow.

Distribution of min($d_0 / \sigma_{d_0}$) for TMS-TMS dimuons with $|\Delta\Phi| < \pi/4$, for events in all mass intervals combined. Events are required to satisfy all nominal selection criteria with the exception of the $d_0 / \sigma_{d_0}$ requirement. Notations are as in the Fig. 10 caption.

Distribution of min($d_0 / \sigma_{d_0}$) for TMS-TMS dimuons with $|\Delta\Phi| < \pi/4$, for events in all mass intervals combined, for both the validation (min($d_0 / \sigma_{d_0}$) < 6) and signal (min($d_0 / \sigma_{d_0}$) > 6) regions. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events. Statistical uncertainties in the total expected background are shown as hatched histograms. Signal contributions expected from simulated signals indicated in the legends are shown in red and blue. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. Events are required to satisfy all nominal selection criteria with the exception of the $d_0 / \sigma_{d_0}$ requirement. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in the TMS-TMS dimuon category, in the RPV SUSY study that requires $|\Delta\Phi| < \pi/4$, in bins of $m^{corr}_{\mu\mu}$. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m^{corr}_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 6-10. Contributions expected from signal events predicted by the RPV SUSY model with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow. All uncertainties shown are statistical only.

Comparison of observed and expected numbers of events in bins of $m^{corr}_{\mu\mu}$ in the TMS-TMS dimuon category, in the signal regions optimized for the RPV SUSY model. The number of observed events (black circles) is overlaid with the stacked filled histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m^{corr}_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 6-10. Hatched histograms show statistical uncertainties in the total expected background. Contributions expected from signal events predicted by the RPV SUSY model with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in the TMS-TMS dimuon category, in the RPV SUSY study that requires $|\Delta\Phi| < \pi/4$, in bins of $m^{corr}_{\mu\mu}$. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m^{corr}_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 10-20. Contributions expected from signal events predicted by the RPV SUSY model with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow. All uncertainties shown are statistical only.

Comparison of observed and expected numbers of events in bins of $m^{corr}_{\mu\mu}$ in the TMS-TMS dimuon category, in the signal regions optimized for the RPV SUSY model. The number of observed events (black circles) is overlaid with the stacked filled histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m^{corr}_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 10-20. Hatched histograms show statistical uncertainties in the total expected background. Contributions expected from signal events predicted by the RPV SUSY model with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in the TMS-TMS dimuon category, in the RPV SUSY study that requires $|\Delta\Phi| < \pi/4$, in bins of $m^{corr}_{\mu\mu}$. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m^{corr}_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: > 20. Contributions expected from signal events predicted by the RPV SUSY model with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow. All uncertainties shown are statistical only.

Comparison of observed and expected numbers of events in bins of $m^{corr}_{\mu\mu}$ in the TMS-TMS dimuon category, in the signal regions optimized for the RPV SUSY model. The number of observed events (black circles) is overlaid with the stacked filled histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m^{corr}_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: >20. Hatched histograms show statistical uncertainties in the total expected background. Contributions expected from signal events predicted by the RPV SUSY model with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in the TMS-TMS dimuon category, in the HAHM study that requires $|\Delta\Phi| < \pi/30$, in bins of $m_{\mu\mu}$. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 6-10. Signal contributions expected from simulated $H \rightarrow Z_DZ_D$ events with the parameters indicated in the legends are shown as red and blue histograms. Other notations are as in the Fig. 12 caption.

Comparison of observed and expected numbers of events in bins of $m_{\mu\mu}$ in the TMS-TMS dimuon category, in the signal regions optimized for the HAHM. The number of observed events (black circles) is overlaid with the stacked filled histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 6-10. Hatched histograms show statistical uncertainties in the total expected background. Signal contributions expected from simulated $H \rightarrow Z_DZ_D$ events with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in the TMS-TMS dimuon category, in the HAHM study that requires $|\Delta\Phi| < \pi/30$, in bins of $m_{\mu\mu}$. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 10-20. Signal contributions expected from simulated $H \rightarrow Z_DZ_D$ events with the parameters indicated in the legends are shown as red and blue histograms. Other notations are as in the Fig. 12 caption.

Comparison of observed and expected numbers of events in bins of $m_{\mu\mu}$ in the TMS-TMS dimuon category, in the signal regions optimized for the HAHM. The number of observed events (black circles) is overlaid with the stacked filled histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: 10-20. Hatched histograms show statistical uncertainties in the total expected background. Signal contributions expected from simulated $H \rightarrow Z_DZ_D$ events with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

Comparison of observed and expected numbers of events in the TMS-TMS dimuon category, in the HAHM study that requires $|\Delta\Phi| < \pi/30$, in bins of $m_{\mu\mu}$. The number of observed events (black circles) is overlaid with the stacked histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: > 20. Signal contributions expected from simulated $H \rightarrow Z_DZ_D$ events with the parameters indicated in the legends are shown as red and blue histograms. Other notations are as in the Fig. 12 caption.

Comparison of observed and expected numbers of events in bins of $m_{\mu\mu}$ in the TMS-TMS dimuon category, in the signal regions optimized for the HAHM. The number of observed events (black circles) is overlaid with the stacked filled histograms showing the expected numbers of QCD (yellow) and DY (green) background events in bins of $m_{\mu\mu}$ in min($d_0 / \sigma_{d_0}$) bin: >20. Hatched histograms show statistical uncertainties in the total expected background. Signal contributions expected from simulated $H \rightarrow Z_DZ_D$ events with the parameters indicated in the legends are shown as red and blue histograms. Their yields are set to the corresponding median expected 95% CL exclusion limits obtained from the ensemble of both dimuon categories, scaled up as indicated in the legend to improve visibility. The last bin includes events in the histogram overflow.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 10\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 10\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 20\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 20\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 30\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 30\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 40\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 40\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 50\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 50\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 60\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 60\ GeV$, in the STA-STA and TMS-TMS dimuon categories in 2022 data and their combination.The median expected limits obtained from the STA-STA and TMS-TMS dimuon categories are shown as dashed blue and red curves, respectively; the combined median expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 10\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 10\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 20\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 20\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 30\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 30\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 40\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 40\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 50\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 50\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m_{Z_D} = 60\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $B(H \rightarrow Z_DZ_D)$ as a function of $c\tau(Z_D)$ in the HAHM model, for $m(Z_D) = 60\ GeV$, obtained in this analysis, the Run 2 analysis, and their combination. The observed limits in this analysis and in the Run 2 analysis are shown as blue and red curves, respectively; the median combined expected limits are shown as dashed black curves; and the combined observed limits are shown as solid black curves. The green and yellow bands correspond, respectively, to the 68 and 95% quantiles for the combined expected limits.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 125\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The predicted cross section for $m(\tilde{q}) = 125\ GeV$ is 7200 pb, and falls outside the y-axis range.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 125\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The predicted cross section for $m(\tilde{q}) = 125\ GeV$ is 7200 pb, and falls outside the y-axis range.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 200\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The predicted cross section for $m(\tilde{q}) = 200 GeV$ is 840 pb, and falls outside the y-axis range.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 200\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The predicted cross section for $m(\tilde{q}) = 200 GeV$ is 840 pb, and falls outside the y-axis range.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 350\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The predicted cross section for $m(\tilde{q}) = 350\ GeV$ is 50 pb, and falls outside the y-axis range.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 350\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The predicted cross section for $m(\tilde{q}) = 350\ GeV$ is 50 pb, and falls outside the y-axis range.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 700\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The gray horizontal line indicates the theoretical value of the squark-antisquark production cross section with the uncertainties shown as the gray shaded band.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 700\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The gray horizontal line indicates the theoretical value of the squark-antisquark production cross section with the uncertainties shown as the gray shaded band.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 1150\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The gray horizontal line indicates the theoretical value of the squark-antisquark production cross section with the uncertainties shown as the gray shaded band.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 1150\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The gray horizontal line indicates the theoretical value of the squark-antisquark production cross section with the uncertainties shown as the gray shaded band.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 1600\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The gray horizontal line indicates the theoretical value of the squark-antisquark production cross section with the uncertainties shown as the gray shaded band.

The 95% CL upper limits on $\sigma(pp \rightarrow \tilde{q}\bar{\tilde{q}})B(\tilde{q} \rightarrow q\tilde{\chi}^{0}_{1})$ as a function of $c\tau(\tilde{\chi}^{0}_{1})$ in the RPV SUSY model, for $B(\tilde{\chi}^{0}_{1} \rightarrow \mu^{+}\mu^{-}\nu) = 0.5$ and $m(\tilde{q}) = 1600\ GeV$. The observed limits for various $m(\tilde{\chi}^{0}_{1})$ indicated in the legends are shown as solid curves. The median expected limits and their 68 and 95% quantiles are shown, respectively, as dashed black curves and green and yellow bands for the case of $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$ and omitted for other neutralino masses for clarity. The gray horizontal line indicates the theoretical value of the squark-antisquark production cross section with the uncertainties shown as the gray shaded band.

Fractions of signal events with zero (green), one (blue), and two (red) STA muons matched to TMS muons by the STA to TMS association procedure, as a function of generated $L_{xy}$, in all HAHM signal samples combined.

Efficiencies of the Run 2 and Run 3 displaced dimuon triggers as a function of $c\tau$ for the HAHM signal events with $m(Z_D) = 50\ GeV$. The efficiency is defined as the fraction of simulated events that satisfy the requirements of the following sets of trigger paths: the Run 2 (2018) triggers (dashed black); the Run 3 (2022, L3) triggers (blue); the Run 3 (2022, L2) triggers (red); and the OR of all these triggers (Run 3 (2022), black). The lower panel shows the ratio of the overall Run 3 (2022) efficiency to the Run 2 (2018) efficiency.

Efficiencies of the Run 2 (2018) (red) and Run 3 (2022) (black) sets of displaced dimuon triggers as a function of $m(Z_D)$ for the HAHM signal events with $c\tau = 1\ cm$. The efficiency is defined as the fraction of simulated events that satisfy the detector acceptance and the requirements of the indicated set of trigger paths. The lower panel shows the ratio of the Run 3 (2022) efficiency to the Run 2 (2018) efficiency.

Efficiencies of the Run 2 (2018) (red) and Run 3 (2022) (black) sets of displaced dimuon triggers as a function of $m(Z_D)$ for the HAHM signal events with $c\tau = 10\ m$. The efficiency is defined as the fraction of simulated events that satisfy the detector acceptance and the requirements of the indicated set of trigger paths. The lower panel shows the ratio of the Run 3 (2022) efficiency to the Run 2 (2018) efficiency.

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM signal with $m(Z_D) = 20\ GeV$ in different years of data taking. Efficiencies are computed as the ratios of the number of simulated signal events in which at least one dimuon candidate passes all 2016 (dashed green), 2018 (dashed red), and 2022 (solid black) trigger and offline selection criteria to the total number of simulated signal events. The lower panel shows the ratio of the 2022 efficiency to the 2018 efficiency (dashed red) and to the 2016 efficiency (dashed green).

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM signal with $m(Z_D) = 50\ GeV$ in different years of data taking. Efficiencies are computed as the ratios of the number of simulated signal events in which at least one dimuon candidate passes all 2016 (dashed green), 2018 (dashed red), and 2022 (solid black) trigger and offline selection criteria to the total number of simulated signal events. The lower panel shows the ratio of the 2022 efficiency to the 2018 efficiency (dashed red) and to the 2016 efficiency (dashed green).

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM model with $m(Z_D) = 10\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM model with $m(Z_D) = 20\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM model with $m(Z_D) = 30\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM model with $m(Z_D) = 40\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM model with $m(Z_D) = 50\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(Z_D)$ for the HAHM model with $m(Z_D) = 60\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 125\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 200\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 350\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 700\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 1150\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 1600\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 50\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 700\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 500\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 1150\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 500\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Overall selection efficiencies as a function of $c\tau(\tilde{\chi}^{0}_{1})$ for the RPV SUSY model, for events with $m(\tilde{q}) = 1600\ GeV$ and $m(\tilde{\chi}^{0}_{1}) = 500\ GeV$. The plot shows efficiencies of the two dimuon categories, TMS-TMS (dashed red) and STA-STA (dashed green), as well as their combination (solid black). Each efficiency is computed as the ratio of the number of simulated signal events in which at least one dimuon candidate of a given type (or any type for the combined efficiency) passes all selection criteria (including the trigger) to the total number of simulated signal events. All efficiencies are corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the TMS-TMS dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ smaller than 20 cm in the HAHM signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the STA-STA dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ smaller than 20 cm in the HAHM signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the TMS-TMS dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ 20-70 cm in the HAHM signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the STA-STA dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ 20-70 cm in the HAHM signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the STA-STA dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ 70-500 cm in the HAHM signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the TMS-TMS dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ smaller than 20 cm in the RPV SUSY signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the STA-STA dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ smaller than 20 cm in the RPV SUSY signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the TMS-TMS dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ 20-70 cm in the RPV SUSY signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the STA-STA dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ 20-70 cm in the RPV SUSY signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Signal efficiencies in the STA-STA dimuon category as a function of the smaller of the two values of generated muon $p_T$ and $d_0$ in dimuons with $L_{xy}^\mathrm{true}$ 70-500 cm in the RPV SUSY signal model. The efficiency in each bin is computed as the ratio of the number of simulated signal dimuons in that bin that pass the trigger requirements and selection criteria to the total number of simulated signal dimuons in that bin and within the geometric acceptance. The geometric acceptance is defined as the generated longitudinal decay length $L_{z}$ smaller than $8\ m$ and $|\eta^\mathrm{true}|$ of both generated muons forming the dimuon smaller than 2.0. The efficiencies obtained from simulation were further corrected by the data-to-simulation scale factors described in the paper.

Unfolded E2C distributions in data compared to MC predictions.

Unfolded E2C distributions in data compared to MC predictions.

Unfolded E2C distributions in data compared to MC predictions.

Unfolded E2C distributions in data compared to MC predictions.

Unfolded E2C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

Unfolded E3C/E2C distributions in data compared to NLO+NNLL_approx predictions. Theoretial uncertainty in each bin is handled fully correlated as shape uncertainty. For the one-sided uncertainties, we symmetrize them when performing the fit.

The fitted slopes of the E3C/E2C data distributions as a function of jet pt are used to illustrate the dependency of alphas on jet pt.

Unfolded E3C/E2C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to MC predictions.

Unfolded E3C/E2C distributions in data compared to MC predictions.

The chi2 scan result using eq.3 for different alphas.

The correlation matrix is composed by 10 jet pt region, each region is represented by a block in the plot. Inside each block, there are 22 xL bins same as the E2C, E3C and E3C/E2C distributions. Therefore, the x and y bins of the correlation matrix is given by, binNumber = pT_index * 22 + xL_index.

The correlation matrix is composed by 10 jet pt region, each region is represented by a block in the plot. Inside each block, there are 22 xL bins same as the E2C, E3C and E3C/E2C distributions. Therefore, the x and y bins of the correlation matrix is given by, binNumber = pT_index * 22 + xL_index.

The correlation matrix is composed by 10 jet pt region, each region is represented by a block in the plot. Inside each block, there are 22 xL bins same as the E2C, E3C and E3C/E2C distributions. Therefore, the x and y bins of the correlation matrix is given by, binNumber = pT_index * 22 + xL_index.

The energy weight of E2C as defined in eq.1 in the paper is used in the unfolding, the binning is listed in this table.

The energy weight of E3C as defined in eq.1 in the paper is used in the unfolding, the binning is listed in this table.

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.

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.

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.

Absolute differential ttbar production cross section measured as function of ttbar rapidity in bins of ttbar mass at the parton level in the full phase space.

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.