Inclusive Y(1S) $R_{AA}$ as a function of $p_{T}$ in Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Inclusive Y(2S) R_{AA} as a function of p_{T} in Au+Au collisions at 200 GeV. Global uncertainty of 6.8% not shown.

Simultaneous coupling measurement $\kappa_V/\kappa_f$

Simultaneous coupling measurement $\kappa_V/\kappa_f$

Simultaneous coupling measurement $\kappa_V/\kappa_f$

Couplings resolved loops. Numbers are in $\kappa_i$.

Couplings effective loops.

Upper limits at 95% CL on the SM strength modifier for the HH production, per final state and combined.

Upper limits at 95% CL on the HH production cross section for different values of $\kappa_\lambda$.

Upper limits at 95% CL on the HH production cross section for different values of $\kappa_{2V}$.

Signal strength modifiers per production channel tims decay mode $\mu_i^f$.

Couplings effective loops including the invisible and undetermined branching fractions.

$\kappa_{\lambda}$ 68 and 95% confidence intervals, from single and double Higgs productions.

Simultaneous coupling measurement $\kappa_\lambda/\kappa_{2V}$

Simultaneous coupling measurement $\kappa_\lambda/\kappa_{2V}$

Simultaneous coupling measurement $\kappa_\lambda/\kappa_{2V}$

Observed correlations between the signal strength modifiers per production mode, $\mu_i$

Observed correlations between the signal strength modifiers per decay channel, $\mu^f$

Observed correlations between the signal strength modifiers per production mode times decay channel $\mu_i^f$.

Observed correlations between the coupling modifiers in the resolved loop model

Observed correlations between the coupling modifiers in the effective loop model

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Efficiency corrected $\phi$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.1 in the method section.

Efficiency and acceptance corrected $K^{*0}$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.4 in the method section.

$\phi$-meson $\rho_{00}$ obtained from 1st- and 2nd-order event planes. The red stars (gray squares) show the $\phi$-meson $\rho_{00}$ as a function of beam energy, obtained with the 2nd-order (1st-order) EP.

$\phi$-meson $\rho_{00}$ with respect to different quantization axes. $\phi$-meson $\rho_{00}$ as a function of beam energy, for the out-of-plane direction (stars) and the in-plane direction (diamonds). Curves are fits based on theoretical calculations with a $\phi$-meson field. The corresponding $G_s^{(y)}$ values obtained from the fits are shown in the legend.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 40 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 45 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 50 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 55 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 60 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 65 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 70 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 75 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 80 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 85 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 90 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 95 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

The observed 95% CL upper limits on the product of the cross section, and branching fraction for the production of X$\to\phi\phi\to$4b, with $m_\phi$ = 100 GeV. The corresponding expected limits and their variations at the 1 and 2 standard deviation levels are also shown. Limits are compared to various extended higgs sector model cross sections as a function of the parameter $m_XN/f$.

Data event yields and predicted signal and background yields (including subdominant $t\bar{t}$) in bins of dijet and average jet mass.

The W' boson 95% CL limits on the product of cross section and branching fraction. The expected and observed limits are shown for the high VLQ mass range.

The W' boson 95% CL limits on the product of cross section and branching fraction. The expected and observed limits are shown for the low VLQ mass range.

Expected 95% CL limits for generalized hypotheses varying the fraction of tB (F(VLQ=B)) and bT (F(VLQ=T)) from the W′ decay

Expected 95% CL limits for generalized hypotheses varying the VLQ branching fraction to qH and qZ

Observed 95% CL limits for generalized hypotheses varying the fraction of tB (F(VLQ=B)) and bT (F(VLQ=T)) from the W′ decay

Observed 95% CL limits for generalized hypotheses varying the VLQ branching fraction to qH and qZ

Differential cross section times dimuon branching fraction of Y(1S) as a function of $y^{Y}_{CM}$ in pPb collisions. The global uncertainty arises from the integrated luminosity uncertainty in pPb collisions.

Differential cross section times dimuon branching fraction of Y(2S) as a function of $y^{Y}_{CM}$ in pPb collisions. The global uncertainty arises from the integrated luminosity uncertainty in pPb collisions.

Differential cross section times dimuon branching fraction of Y(3S) as a function of $y^{Y}_{CM}$ in pPb collisions. The global uncertainty arises from the integrated luminosity uncertainty in pPb collisions.

Differential cross section times dimuon branching fraction of Y(1S) as a function of pT in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(2S) as a function of pT in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(3S) as a function of pT in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(1S) as a function of $|y^{Y}_{CM}|$ in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(2S) as a function of $|y^{Y}_{CM}|$ in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Differential cross section times dimuon branching fraction of Y(3S) as a function of $|y^{Y}_{CM}|$ in pp collisions. The global uncertainty arises from the integrated luminosity uncertainty in pp collisions.

Nuclear modification factor of Y(1S) as a function of pT. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) as a function of pT. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) as a function of pT. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(1S) as a function of $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) as a function of $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) as a function of $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(1S) at forward and backward $y^{Y}_{CM}$ for pT < 6 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) at forward and backward $y^{Y}_{CM}$ for pT < 6 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) at forward and backward $y^{Y}_{CM}$ for pT < 6 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(1S) at forward and backward $y^{Y}_{CM}$ for 6 < pT < 30 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(2S) at forward and backward $y^{Y}_{CM}$ for 6 < pT < 30 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

Nuclear modification factor of Y(3S) at forward and backward $y^{Y}_{CM}$ for 6 < pT < 30 GeV/c. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

RFB of Y(1S) versus $N^{|\eta_{lab}|<2.4}_{tracks}$.

RFB of Y(2S) versus $N^{|\eta_{lab}|<2.4}_{tracks}$.

RFB of Y(3S) versus $N^{|\eta_{lab}|<2.4}_{tracks}$.

RFB of Y(1S) versus $E^{|\eta_{lab}|>4}_{T}$.

RFB of Y(2S) versus $E^{|\eta_{lab}|>4}_{T}$.

RFB of Y(3S) versus $E^{|\eta_{lab}|>4}_{T}$.

Nuclear modification factor of Y(1S), Y(2S), and Y(3S) integrated over pT and $y^{Y}_{CM}$. The global uncertainty arises from the integrated luminosity uncertainties in pPb and pp collisions.

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.

GGsm vs -2dNLL (f_{#Lambda1} (u) observed)

GGsm vs -2dNLL (SM-like (f_{ai}=0) expected)

GGsm vs -2dNLL (f_{a2} (u) expected)

GGsm vs -2dNLL (f_{a3} (u) expected)

GGsm vs -2dNLL (f_{#Lambda1} (u) expected)

GGsm vs -2dNLL (2l2#nu off-shell + 4l on-shell observed)

GGsm vs -2dNLL (4l off-shell + 4l on-shell observed)

GGsm vs -2dNLL (2l2#nu off-shell + 4l on-shell expected)

GGsm vs -2dNLL (4l off-shell + 4l on-shell expected)

r_offshell vs -2dNLL (R_{V,F}^{off-shell}=1 observed)

r_offshell vs -2dNLL (R_{V,F}^{off-shell} (u) observed)

r_offshell vs -2dNLL (R_{V,F}^{off-shell}=1 (2l2#nu) observed)

r_offshell vs -2dNLL (R_{V,F}^{off-shell} (u, 2l2#nu) observed)

r_offshell vs -2dNLL (R_{V,F}^{off-shell}=1 expected)

r_offshell vs -2dNLL (R_{V,F}^{off-shell} (u) expected)

r_offshell vs -2dNLL (R_{V,F}^{off-shell}=1 (2l2#nu) expected)

r_offshell vs -2dNLL (R_{V,F}^{off-shell} (u, 2l2#nu) expected)

rf_offshell vs -2dNLL (2l2#nu+4l observed)

rf_offshell vs -2dNLL (Only 2l2#nu observed)

rf_offshell vs -2dNLL (2l2#nu+4l expected)

rf_offshell vs -2dNLL (Only 2l2#nu expected)

rv_offshell vs -2dNLL (2l2#nu+4l observed)

rv_offshell vs -2dNLL (Only 2l2#nu observed)

rv_offshell vs -2dNLL (2l2#nu+4l expected)

rv_offshell vs -2dNLL (Only 2l2#nu expected)

rf_offshell vs rv_offshell observed

fa2 vs -2dNLL (#Gamma_{H}=4.1 MeV observed)

fa2 vs -2dNLL (#Gamma_{H} (u) observed)

fa2 vs -2dNLL (On-shell 4l observed)

fa2 vs -2dNLL (#Gamma_{H}=4.1 MeV expected)

fa2 vs -2dNLL (#Gamma_{H} (u) expected)

fa2 vs -2dNLL (On-shell 4l expected)

fa3 vs -2dNLL (#Gamma_{H}=4.1 MeV observed)

fa3 vs -2dNLL (#Gamma_{H} (u) observed)

fa3 vs -2dNLL (On-shell 4l observed)

fa3 vs -2dNLL (#Gamma_{H}=4.1 MeV expected)

fa3 vs -2dNLL (#Gamma_{H} (u) expected)

fa3 vs -2dNLL (On-shell 4l expected)

fL1 vs -2dNLL (#Gamma_{H}=4.1 MeV observed)

fL1 vs -2dNLL (#Gamma_{H} (u) observed)

fL1 vs -2dNLL (On-shell 4l observed)

fL1 vs -2dNLL (#Gamma_{H}=4.1 MeV expected)

fL1 vs -2dNLL (#Gamma_{H} (u) expected)

fL1 vs -2dNLL (On-shell 4l expected)

Electron $p_{T}$ distribution using 2016-2018 data sets. The complete set of selection criteria were applied. Two examples of SSM WPRIME boson signal samples with masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction, and the shaded band represents the systematic uncertainties.

$p_{T}^{miss}$ distribution in the electron channel using 2016-2018 data sets. The complete set of selection criteria were applied. Two examples of SSM WPRIME boson signal samples with masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction, and the shaded band represents the systematic uncertainties.

Muon $p_T$ distribution using 2016-2018 data sets. The complete set of selection criteria were applied. Two examples of SSM WPRIME boson signal samples with masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction, and the shaded band represents the systematic uncertainties.

$p_T^{miss}$ distribution in the muon channel using 2016-2018 data sets. The complete set of selection criteria were applied. Two examples of SSM WPRIME boson signal samples with masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction, and the shaded band represents the systematic uncertainties.

$M_T$ distribution for the E+INVISIBLE system using 2016-2018 data sets. The complete set of selection criteria were applied. Two examples of SSM WPRIME boson signal samples with masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction, and the shaded band represents the systematic uncertainties.

$M_T$ distribution for the MU+INVISIBLE system using 2016-2018 data sets. The complete set of selection criteria were applied. Two examples of SSM WPRIME boson signal samples with masses of 3.8 and 5.6 TeV are shown. The lower panel shows the ratio of data to SM prediction, and the shaded band represents the systematic uncertainties.

Theoretical prediction for the production and decay cross-section of SSM WPRIME bosons (W --> LEPTON + NU) as a function of the WPRIME mass, for the range 200-6400 GeV and inclusive in phase-space (no cuts). The uncertainty shown covers PDF and ALPHAS uncertainties. These theoretical predictions are obtained with PYTHIA (LO) and corrected to NNLO in QCD using FEWZ program.

Observed (solid line) and expected (dashed line) upper limits at 95% CL on the product of WPRIME cross-section production and BF(WPRIME --> LEPTON + NU) for an SSM WPRIME boson, as a function of the boson mass, for the electron decay channel. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical predictions for the SSM at NNLO precision in QCD are shown with narrow gray bands corresponding to the PDF and ALPHAS uncertainties.

Observed (solid line) and expected (dashed line) upper limits at 95% CL on the product of WPRIME cross-section production and BF(WPRIME --> LEPTON + NU) for an SSM WPRIME boson, as a function of the boson mass, for the muon decay channel. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical predictions for the SSM at NNLO precision in QCD are shown with narrow gray bands corresponding to the PDF and ALPHAS uncertainties.

Observed (solid line) and expected (dashed line) upper limits at 95% CL on the product of WPRIME cross-section production and BF(WPRIME --> LEPTON + NU) for an SSM WPRIME boson, as a function of the boson mass, for the combined electron and muon decay channels. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits. The theoretical predictions for the SSM at NNLO precision in QCD are shown with narrow gray bands corresponding to the PDF and ALPHAS uncertainties.

The 95% CL observed (solid line) and expected (dashed line) model independent cross section upper limits as function of the $MT_{min}$ threshold, for the electron decay channel. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits.

The 95% CL observed (solid line) and expected (dashed line) model independent cross section upper limits as function of the $MT_{min}$ threshold, for the muon decay channel. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits.

The 95% CL observed (solid line) and expected (dashed line) model independent cross section upper limits as function of the $MT_{min}$ threshold, for the combined electron and muon decay channels. The shaded bands represent the one (green) and two (yellow) standard deviation uncertainty bands for the expected limits.

Observed (solid line) and expected (dashed line) upper limits at 95% CL on the coupling strength ratio, gWprime/gW as a function of the mass of the WPRIME boson, for the electron channel. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The area above the limit curve is excluded. The dotted line represents the case of SSM coupling, gWprime, being equal to gW, the SM coupling.

Observed (solid line) and expected (dashed line) upper limits at 95% CL on the coupling strength ratio, gWprime/gW, as a function of the mass of the WPRIME boson, for the muon channel. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The area above the limit curve is excluded. The dotted line represents the case of SSM coupling, gWprime , being equal to gW, the SM coupling.

Exclusion limits in the 2D plane (1/R, $\mu$) for the split-UED interpretation for the n = 2 case, for the electron channel for the 2016-2018 data sets. R is the radius of the additional spatial dimension and $\mu$ the bulk mass for the fermion field in five dimensions. The expected limit is depicted as a black dashed line. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The experimentally excluded region is the entire area to the left of the solid black line.

Exclusion limits in the 2D plane (1/R, $\mu$) for the split-UED interpretation for the n = 2 case, for the muon channel for the 2016-2018 data sets. R is the radius of the additional spatial dimension and $\mu$ the bulk mass for the fermion field in five dimensions. The expected limit is depicted as a black dashed line. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The experimentally excluded region is the entire area to the left of the solid black line.

Exclusion limits in the 2D plane (1/R, $\mu$) for the split-UED interpretation for the n = 2 case, for the combined electron and muon channels for the 2016-2018 data sets. R is the radius of the additional spatial dimension and $\mu$ the bulk mass for the fermion field in five dimensions. The expected limit is depicted as a black dashed line. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The experimentally excluded region is the entire area to the left of the solid black line.

Observed (solid line) and expected (dashed line) upper limits at 95% CL on the ${\lambda}_{231}$ coupling in the RPV SUSY model with a STAU mediator, as a function of the mass of STAU, for the electron channel and for the production coupling, ${\lambda}^{'}_{3ij}$=0.5 . The couplings ${\lambda}^{'}_{3ij}$, ${\lambda}_{231}$, and ${\lambda}_{132}$ are defined in Fig. 1. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The area above the limit curve is excluded. Limits for other values of ${\lambda}^{'}_{3ij}$ are obtained multiplying the ones shown by the ratio ${\lambda}^{'}_{3ij}$/0.5

Observed (solid line) and expected (dashed line) upper limits at 95% CL on the ${\lambda}_{132}$ coupling in the RPV SUSY model with a stau mediator, as a function of the mass of the stau, for the muon channel and for the production coupling, ${\lambda}^{'}_{3ij}$ = 0.5 . The couplings ${\lambda}^{'}_{3ij}$, ${\lambda}_{231}$, and ${\lambda}_{132}$ are defined in Fig. 1. The one (green) and two (yellow) standard deviation uncertainty bands for the expected limits are shown. The area above the limit curve is excluded. Limits for other values of ${\lambda}^{'}_{3ij}$ are obtained multiplying these ones by the ratio ${\lambda}^{'}_{3ij}$/0.5

Region in the oblique (W,Y) parameter phase space allowed by the current analysis at 95% CL. The combination of the electron and muon channel distributions from the 2017 and 2018 data sets at sqrt(s) = 13 TeV is used, having 101 fb-1 of luminosity.

Negative Log-Likelihood for the determination of the oblique W parameter, for the combination of the electron and muon channel and for 2017 and 2018 data sets (L=101 fb-1) at sqrt(s) = 13 TeV.

Total background estimate and observed data in all bins used in the limit calculation for the SSM WPRIME limits. The total event sample is split into the three years of data taking and the two lepton flavors.The distributions being shown are $M_T$ ones. The associated integrated luminosities for each year are of 35.9, 41.5, and 59.4 fb$̣^{-1}. The mass bins are numbered in ascending order.

Expected $+ 1$ s.d. lower limit contour on the $m_{\mathrm{W}_{\mathrm{KK}}}$ and $m_{\mathrm{R}}$ plane after combinign with an analysis of the all-hadronic final state.

Expected - 1 s.d. lower limit contour on the $m_{\mathrm{W}_{\mathrm{KK}}}$ and $m_{\mathrm{R}}$ plane after combinign with an analysis of the all-hadronic final state.

Observed lower limit contour on the $m_{\mathrm{W}_{\mathrm{KK}}}$ and $m_{\mathrm{R}}$ plane after combinign with an analysis of the all-hadronic final state.

Post-fit distributions of the reconstructed $\ell\nu$+jets system ($m_{\mathrm{j}\ell\nu}$, $m_{\mathrm{jj}\ell\nu}$) in data and simulation for SR1.

Post-fit distributions of the reconstructed $\ell\nu$+jets system ($m_{\mathrm{j}\ell\nu}$, $m_{\mathrm{jj}\ell\nu}$) in data and simulation for SR2.

Post-fit distributions of the reconstructed $\ell\nu$+jets system ($m_{\mathrm{j}\ell\nu}$, $m_{\mathrm{jj}\ell\nu}$) in data and simulation for SR3.

Post-fit distributions of the reconstructed $\ell\nu$+jets system ($m_{\mathrm{j}\ell\nu}$, $m_{\mathrm{jj}\ell\nu}$) in data and simulation for SR5.

Post-fit distributions of the reconstructed $\ell\nu$+jets system ($m_{\mathrm{j}\ell\nu}$, $m_{\mathrm{jj}\ell\nu}$) in data and simulation for SR6.