Observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance. The acceptance $\mathcal{A}$ is defined as $\mathcal{A} = N$(events with $m_{X}^{GEN} > 85\% m_{X}^{input}$) / $N$(events generated in the full phase space defined by the CMS default generator settings). Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Mass exclusion ranges of the benchmark signal scenarios are depicted with hatched areas inside the black contours.

Observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance. The acceptance $\mathcal{A}$ is defined as $\mathcal{A} = N$(events with $m_{X}^{GEN} > 85\% m_{X}^{input}$) / $N$(events generated in the full phase space defined by the CMS default generator settings). Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Mass exclusion ranges of the benchmark signal scenarios are depicted with hatched areas inside the black contours.

Efficiencies of the selection requirements on the benchmark signal processes: $Z_{R} \to ggg$ with nominal width ($\Gamma_{X}/m_{X}\sim 3\%$). A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $Z_{R} \to ggg$ with narrow width ($\Gamma_{X}/m_{X}\sim 0.01\%$). A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $G_{KK} \to {\varphi}(gg)g$, where $\varphi$ is the radion. A value of -1 means that the corresponding efficiency is not calculated for this year.

Efficiencies of the selection requirements on the benchmark signal processes: $q^{*} \to V(qq)q$, where $V$ is a beyond-the-SM vector boson. A value of -1 means that the corresponding efficiency is not calculated for this year.

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $Z_{R} \to ggg$. The acceptance is defined as $\mathcal{A} = N$(events with $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$)/$N$(events generated in the full phase space defined by the CMS default generator settings).

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $G_{KK} \to {\varphi}(gg)g$.

Acceptance of the signal selection requirement $m_{X}^{\text{GEN}}/m_{X}^{\text{input}} > 85\%$ on the benchmark signal process $q^{*} \to V(qq)q$.

Observed local significance for a 3-body decay $ggg$ resonance, shown for resonances with nominal width (blue solid line) and narrow width (red dashed line).

Observed local significance for a cascade decay $ggg$ resonance.

Observed local significance for a cascade decay $qqq$ resonance.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.2$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.3$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.4$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.5$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.6$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.7$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(gg)g) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.8$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance $m_{Y} / m_{X} = 0.2$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.3$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.4$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.5$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.6$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.7$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal.

Expected and observed limits at 95% CL on $\sigma \mathcal{B} (X \to Y(qq)q) \mathcal{A}$ for a cascade decay trijet resonance with $m_{Y} / m_{X} = 0.8$. Only 2016 data are used to derive limits below 2.0 TeV because of higher trigger thresholds in 2017 and 2018. Theoretical predictions of the benchmark are depicted with the red curve. A value of -1 in the table means that the corresponding theoretical prediction is not calculated for this signal

Cut flow table of the selection requirments for the $Z_{R}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Cut flow table of the selection requirments for the $G_{KK}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Cut flow table of the selection requirments for the $q^{*}$ model scenarios. Values shown are absolute efficiencies, e.g., values shown in the column of 'Efficiency ($\Delta_{R}^{max} < 3.0$)' represent the cumulative efficiencies achieved through all selection requirements applied up to and including the current selection criterion.

Predicted production cross section of the benchmark signal process $pp \to Z_{R} \to ggg$.

Predicted production cross section of the benchmark signal process $pp \to G_{KK} \to \varphi(gg)g$.

Predicted production cross section of the benchmark signal process $pp \to q^{*} \to V(qq)q$.

Expected CLs values in the High mA SR, mA vs ma signal grid.

Observed CLs values in the High mA SR, mA vs ma signal grid.

Expected CLs values in the Low mA SR, mA vs ma signal grid.

Observed CLs values in the High mA SR, mA vs ma signal grid.

CLs+b values in the Low mA SR, mA vs tanB signal grid.

CLs+b values in the High mA SR, mA vs ma signal grid.

CLs+b values in the Low mA SR, mA vs ma signal grid.

Cut flow of the 2HDM+a signal points, gluon–gluon fusion production, Low mA SR. tanB = 1, $sin\theta$ = 0.35. The first two entries in the tables are number of raw MC events, third entry is theoretical prediction, and all other lines include the correct weights. Note that during the generation Higgs boson’s branching ratio to taus has been set to 1. An additional factor of 0.0627 is used to account for that, starting from the ‘Initial’ entry.

Cut flow of the 2HDM+a signal points, gluon–gluon fusion production, High mA SR. tanB = 1, $sin\theta$ = 0.35. The first two entries in the tables are number of raw MC events, third entry is theoretical prediction, and all other lines include the correct weights. Note that during the generation Higgs boson’s branching ratio to taus has been set to 1. An additional factor of 0.0627 is used to account for that, starting from the ‘Initial’ entry.

Cut flow of the 2HDM+a signal points, bb annihilation production, Low mA SR. tanB = 1, $sin\theta$ = 0.35. The first two entries in the tables are number of raw MC events, third entry is theoretical prediction, and all other lines include the correct weights. Note that during the generation Higgs boson’s branching ratio to taus has been set to 1. An additional factor of 0.0627 is used to account for that, starting from the ‘Initial’ entry.

Cut flow of the 2HDM+a signal points, bb annihilation production, High mA SR. tanB = 1, $sin\theta$ = 0.35. The first two entries in the tables are number of raw MC events, third entry is theoretical prediction, and all other lines include the correct weights. Note that during the generation Higgs boson’s branching ratio to taus has been set to 1. An additional factor of 0.0627 is used to account for that, starting from the ‘Initial’ entry.

A comparison of the observed and expected yields in the four bins of the Low mA SR.

A comparison of the observed and expected yields in the two bins of the High mA SR.

Expected exclusion contours at 95% CL as a function of mA and ma.

Observed exclusion contours at 95% CL as a function of mA and ma.

Expected +- 1sigma exclusion contours at 95% CL as a function of mA and ma.

Expected exclusion contours at 95% CL as a function of mA and ma.

Observed exclusion contours at 95% CL as a function of mA and ma.

Expected +- 1sigma exclusion contours at 95% CL as a function of mA and ma.

Acceptance, High mA SR, mA vs tanB grid, 400-750 GeV, bb prod

Acceptance, High mA SR, mA vs tanB grid, >750 GeV, bb prod

Acceptance, Low mA SR, mA vs tanB grid, 100-250 GeV, bb prod

Acceptance, Low mA SR, mA vs tanB grid, 250-400 GeV, bb prod

Acceptance, Low mA SR, mA vs tanB grid, 400-550 GeV, bb prod

Acceptance, Low mA SR, mA vs tanB grid, >550 GeV, bb prod

Acceptance, High mA SR, mA vs ma grid, 400-750 GeV, bb prod

Acceptance, High mA SR, mA vs ma grid, >750 GeV, bb prod

Acceptance, Low mA SR, mA vs ma grid, 100-250 GeV, bb prod

Acceptance, Low mA SR, mA vs ma grid, 250-400 GeV, bb prod

Acceptance, Low mA SR, mA vs ma grid, 400-550 GeV, bb prod

Acceptance, Low mA SR, mA vs ma grid, >550 GeV, bb prod

Acceptance, High mA SR, mA vs tanB grid, 400-750 GeV, ggF prod

Acceptance, High mA SR, mA vs tanB grid, >750 GeV, ggF prod

Acceptance, Low mA SR, mA vs tanB grid, 100-250 GeV, ggF prod

Acceptance, Low mA SR, mA vs tanB grid, 250-400 GeV, ggF prod

Acceptance, Low mA SR, mA vs tanB grid, 400-550 GeV, ggF prod

Acceptance, Low mA SR, mA vs tanB grid, >550 GeV, ggF prod

Acceptance, High mA SR, mA vs ma grid, 400-750 GeV, ggF prod

Acceptance, High mA SR, mA vs ma grid, >750 GeV, ggF prod

Acceptance, Low mA SR, mA vs ma grid, 100-250 GeV, ggF prod

Acceptance, Low mA SR, mA vs ma grid, 250-400 GeV, ggF prod

Acceptance, Low mA SR, mA vs ma grid, 400-550 GeV, ggF prod

Acceptance, Low mA SR, mA vs ma grid, >550 GeV, ggF prod

Efficiency, High mA SR, mA vs tanB grid, 400-750 GeV, bb prod

Efficiency, High mA SR, mA vs tanB grid, >750 GeV, bb prod

Efficiency, Low mA SR, mA vs tanB grid, 100-250 GeV, bb prod

Efficiency, Low mA SR, mA vs tanB grid, 250-400 GeV, bb prod

Efficiency, Low mA SR, mA vs tanB grid, 400-550 GeV, bb prod

Efficiency, Low mA SR, mA vs tanB grid, >550 GeV, bb prod

Efficiency, High mA SR, mA vs ma grid, 400-750 GeV, bb prod

Efficiency, High mA SR, mA vs ma grid, >750 GeV, bb prod

Efficiency, Low mA SR, mA vs ma grid, 100-250 GeV, bb prod

Efficiency, Low mA SR, mA vs ma grid, 250-400 GeV, bb prod

Efficiency, Low mA SR, mA vs ma grid, 400-550 GeV, bb prod

Efficiency, Low mA SR, mA vs ma grid, >550 GeV, bb prod

Efficiency, High mA SR, mA vs tanB grid, 400-750 GeV, ggF prod

Efficiency, High mA SR, mA vs tanB grid, >750 GeV, ggF prod

Efficiency, Low mA SR, mA vs tanB grid, 100-250 GeV, ggF prod

Efficiency, Low mA SR, mA vs tanB grid, 250-400 GeV, ggF prod

Efficiency, Low mA SR, mA vs tanB grid, 400-550 GeV, ggF prod

Efficiency, Low mA SR, mA vs tanB grid, >550 GeV, ggF prod

Efficiency, High mA SR, mA vs ma grid, 400-750 GeV, ggF prod

Efficiency, High mA SR, mA vs ma grid, >750 GeV, ggF prod

Efficiency, Low mA SR, mA vs ma grid, 100-250 GeV, ggF prod

Efficiency, Low mA SR, mA vs ma grid, 250-400 GeV, ggF prod

Efficiency, Low mA SR, mA vs ma grid, 400-550 GeV, ggF prod

Efficiency, Low mA SR, mA vs ma grid, >550 GeV, ggF prod

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Observed and expected (background-only fitted) invariant mass spectra of Wgamma events. The fitted function is ${ d N}/{ d m} = p_{0} * (m/\sqrt{s})^{p_{1} + p_{2} * \log(m/\sqrt{s}) + p_{3} * \log^{2}(m/\sqrt{s})}$

Expected and observed 95% CL upper limits on the product of the cross section and branching fraction for narrow scalar Wgamma resonances. Limits are compared to predicted cross sections for the heavy scalar triplet model described in arXiv:1912.08234

Expected and observed 95% CL upper limits on the product of the cross section and branching fraction for broad scalar Wgamma resonances.

Expected and observed 95% CL upper limits on the product of the cross section and branching fraction for narrow vector Wgamma resonances. Limits are compared to predicted cross sections for the heavy vector triplet model described in arXiv:1912.08234

Expected and observed 95% CL upper limits on the product of the cross section and branching fraction for broad vector Wgamma resonances.

Expected and observed model-independent 95% CL upper limits on the product of the cross section, branching fraction and signal acceptance for general Wgamma resonances.

Expected and observed model-independent 95% CL upper limits on the product of the cross section, branching fraction, signal acceptance and W tagging efficiency for general Jgamma resonances.

Distributions of MaxMin alternative algorithm $m(h_{\mathrm{cand1}},h_{\mathrm{cand2}})_{\mathrm{avg}}$ after the background-only fit. The backgrounds which contribute only a small amount (diboson, W+jets and ttbar+W/Z/h) are grouped and labelled as `Other'.

Distributions of Leading jet $p_T$ after the background-only fit. The backgrounds which contribute only a small amount (diboson, W+jets and ttbar+W/Z/h) are grouped and labelled as `Other'.

Distributions of MaxMin algorithm $m_{hcand}$ after the background-only fit. The backgrounds which contribute only a small amount (diboson, W+jets and ttbar+W/Z/h) are grouped and labelled as `Other'.

Signal efficiency in SRA_M_m60 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal acceptance in SRC_28 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRC_26 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRC_24 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRA_M_dm130 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRB for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRA_L_dm130 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRC_incl for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRA_L_m60 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRA_incl_dm130 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal acceptance in SRA_incl_m60 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal efficiency in SRA_H_m60 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRA_L_dm130 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRB for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal acceptance in SRC_22 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal efficiency in SRA_H_dm130 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRC_24 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRC_26 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal acceptance in SRA_H_m60 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal efficiency in SRA_incl_m60 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRC_22 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal acceptance in SRA_M_m60 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal efficiency in SRC_28 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal acceptance in SRA_H_dm130 for simplified models with $\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$ production

Signal efficiency in SRA_incl_dm130 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRA_L_m60 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRA_M_dm130 for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Signal efficiency in SRC_incl for simplified models with '$\widetilde{b}\widetilde{b}$ $\rightarrow$ $b\bar{b} \widetilde{\chi}_2^0 \widetilde{\chi}_2^0$ $\rightarrow$ hh$\widetilde{\chi}_1^0 \widetilde{\chi}_1^0$, h $\rightarrow$ $b\bar{b}$' production

Observed 95% CLs exclusion limit for the $\Delta M(\widetilde{\chi}_{2}^{0},\widetilde{\chi}_{1}^{0})$=130GeV signal grid for the best combined signal regions.

Expected 95% CLs exclusion limit for the $\Delta M(\widetilde{\chi}_{2}^{0},\widetilde{\chi}_{1}^{0})$=130GeV signal grid for the best combined signal regions.

Observed 95% CLs exclusion limit for the $M(\widetilde{\chi}_{1}^{0})$=60GeV signal grid for the best combined signal regions.

Expected 95% CLs exclusion limit for the $M(\widetilde{\chi}_{1}^{0})$=60GeV signal grid for the best combined signal regions.

Model dependent upper limit on the best combined signal regions considered in the $\Delta M(\widetilde{\chi}_{2}^{0},\widetilde{\chi}_{1}^{0})$=130GeV signal grid

Model dependet upper limits on the best combined signal regions considered in the $\Delta M(\widetilde{\chi}_{2}^{0},\widetilde{\chi}_{1}^{0})$=130GeV signal grid

Result of background only fit applied to signal regions. Event yields from the signal regions compared with SM MC predictions for the 3 highest contributing backgrounds separately and combined minor backgrounds.

Expected background event yields and dominant systematic uncertainties on background estimates in the A-type (inclusive), B-type and C-type (inclusive) regions.

Background-only fit results for the A- and B-type regions performed using 139$fb^{-1}$ of data. The quoted uncertainties on the fitted SM background include both the statistical and systematic uncertainties.

Background-only fit results for the C-type region performed using 139$fb^{-1}$ of data. The quoted uncertainties on the fitted SM background include both the statistical and systematic uncertainties.

Observed 95% CL upper limits on the visible cross sections σvis, the observed (S95obs) and expected (S95exp) 95% CL upper limits on the number of signal events with ± 1 σ excursions of the expectation, the CL of the background-only hypothesis, CLB, the discovery p-value (p0), truncated at 0.5, and the associated significance.

Cutflow of the MC events scaled to 139 $fb^{-1}$ for the SRA selections, with a scalar bottom signal of m$(\widetilde{b}_{1},\widetilde{\chi}_2^0,\widetilde{\chi}_1^0) = (1100, 330, 200)$ GeV, considered.

Cutflow of the MC events scaled to 139 $fb^{-1}$ for the SRB selections, with a scalar bottom signal of m$(\widetilde{b}_{1},\widetilde{\chi}_2^0,\widetilde{\chi}_1^0) = (700, 680, 550)$ GeV, considered.

Cutflow of the MC events scaled to 139 $fb^{-1}$ for the SRC selections, with a scalar bottom signal of m$(\widetilde{b}_{1},\widetilde{\chi}_2^0,\widetilde{\chi}_1^0) = (1200, 1150, 60)$ GeV, considered.

Acceptance for SR4 in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Acceptance for SR5 in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Acceptance for best expected CLS SR in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Detector efficiency for SR1 in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Detector efficiency for SR2 in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Detector efficiency for SR3 in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Detector efficiency for SR4 in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Detector efficiency for SR5 in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Detector efficiency for best expected CLS SR in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Expected exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Observed exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR1 expected exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR1 observed exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR2 expected exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR2 observed exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR3 expected exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR3 observed exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR4 expected exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR4 observed exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR5 expected exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

SR5 observed exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Upper limits on signal cross sections and exclusion limits at 95% CL for SR1 in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Upper limits on signal cross sections and exclusion limits at 95% CL for SR2 in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Upper limits on signal cross sections and exclusion limits at 95% CL for SR3 in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Upper limits on signal cross sections and exclusion limits at 95% CL for SR4 in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Upper limits on signal cross sections and exclusion limits at 95% CL for SR5 in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Upper limits on signal cross sections and exclusion limits at 95% CL for the best expected SR in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

Minimum branching ratio excluded at 95% CL, assuming no sensitivity for other decay possibilities, in the $m(\tilde t_1/\tilde c_1)$-$m(\tilde\chi^0_1)$ plane for the stop/scharm pair production scenario.

The signal region with the best expected CLS value for each signal in the $\tilde{t}_1/\tilde{c}_1-\tilde{\chi}_1^0$ mass plane.

Expected exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$\Delta m$ plane for the stop/scharm pair production scenario.

Observed exclusion limit at 95% CL in the $m(\tilde t_1/\tilde c_1)$-$\Delta m$ plane for the stop/scharm pair production scenario.

Comparison between data and expectation after the background-only fit for the $E_{T}^{miss}$ distribution in SR1. The shaded band indicates detector-related systematic uncertainties and the statistical uncertainties of the MC samples, while the error bars on the data points indicate the data's statistical uncertainty. The final bin in each histogram includes the overflow. The lower panel shows the ratio of the data to the SM prediction after the background-only fit. The distribution is also shown for a representative signal point.

Comparison between data and expectation after the background-only fit for the $E_{T}^{miss}$ distribution in SR2. The shaded band indicates detector-related systematic uncertainties and the statistical uncertainties of the MC samples, while the error bars on the data points indicate the data's statistical uncertainty. The final bin in each histogram includes the overflow. The lower panel shows the ratio of the data to the SM prediction after the background-only fit. The distribution is also shown for a representative signal point.

Comparison between data and expectation after the background-only fit for the $E_{T}^{miss}$ distribution in SR3. The shaded band indicates detector-related systematic uncertainties and the statistical uncertainties of the MC samples, while the error bars on the data points indicate the data's statistical uncertainty. The final bin in each histogram includes the overflow. The lower panel shows the ratio of the data to the SM prediction after the background-only fit. The distribution is also shown for a representative signal point.

Comparison between data and expectation after the background-only fit for the $E_{T}^{miss}$ distribution in SR4. The shaded band indicates detector-related systematic uncertainties and the statistical uncertainties of the MC samples, while the error bars on the data points indicate the data's statistical uncertainty. The final bin in each histogram includes the overflow. The lower panel shows the ratio of the data to the SM prediction after the background-only fit. The distribution is also shown for a representative signal point.

Comparison between data and expectation after the background-only fit for the $E_{T}^{miss}$ distribution in SR5. The shaded band indicates detector-related systematic uncertainties and the statistical uncertainties of the MC samples, while the error bars on the data points indicate the data's statistical uncertainty. The final bin in each histogram includes the overflow. The lower panel shows the ratio of the data to the SM prediction after the background-only fit. The distribution is also shown for a representative signal point.

Cutflow for the $(m_{\tilde{t}}, m_{\tilde{\chi}}) = (450,425)$ GeV signal point for signal region SR1.

Cutflow for the $(m_{\tilde{t}}, m_{\tilde{\chi}}) = (500,420)$ GeV signal point for signal region SR2.

Cutflow for the $(m_{\tilde{t}}, m_{\tilde{\chi}}) = (500,350)$ GeV signal point for signal region SR3.

Cutflow for the $(m_{\tilde{t}}, m_{\tilde{\chi}}) = (600,350)$ GeV signal point for signal region SR4.

Cutflow for the $(m_{\tilde{t}}, m_{\tilde{\chi}}) = (900,1)$ GeV signal point for signal region SR5.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 0.8 to 6.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 6.8 to 12.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 12.8 to 18.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 18.8 to 24.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 24.8 to 30.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 30.8 to 36.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 36.8 to 42.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 42.8 to 48.8.

The observed 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta) over the tan(beta) region 48.8 to 51.2.

The observed and expected 95% CL limits on the minimal GMSB model parameters Lambda and tan(beta).

The acceptance, efficiency and their product in the Lambda-Tan(Beta)-plane for M_mess=250 TeV, N_5=3 and C_grav=1.

The relative systematic uncertainty from the selection, theoretical and statistical uncertainities and their combined values.

The observed 95% CL upper limits on the visible and production cross sections in the Lambda-Tan(Beta) plane for stau and slepton NLSP production in the minimal GMSB model.