Expected and observed combined limits at 95% CL on the production cross-section of vector-like T in an $(X,T)$ doublet (50% $T\rightarrow Zt$, 50% $T\rightarrow Ht$).

Expected and observed combined limits at 95% CL on the production cross-section of vector-like T in a $T$ singlet (50% $T\rightarrow Wb$, 25% $T\rightarrow Zt$, 25% $T\rightarrow Ht$).

Expected and observed combined limits at 95% CL on the production cross-section of vector-like B for 100% $B\rightarrow Zb$.

Expected and observed combined limits at 95% CL on the production cross-section of vector-like B in a $(B,Y)$ doublet (50% $B\rightarrow Zb$, 50% $B\rightarrow Hb$).

Expected and observed combined limits at 95% CL on the production cross-section of vector-like B in a B singlet (50% $B\rightarrow Wt$, 25% $B\rightarrow Zb$, 25% $B\rightarrow Hb$).

Distribution of the final discriminant after the combined background-only fit in the 2$\ell$ 2$b$ double-tag 1 signal region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 2$\ell$ 2$b$ top-tag signal region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 2$\ell$ 1$b$ $V$-tag signal region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 2$\ell$ 1$b$ no-tag signal region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 3$\ell$ $VV$ control region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 3$\ell$ $H$-tag signal region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 3$\ell$ top-tag signal region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 2$\ell$ 1$b$ control region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Distribution of the final discriminant after the combined background-only fit in the 2$\ell$ 2$b$ control region. The signal contribution is the expected distribution for a singlet TT with a mass of 1.2 TeV. The last bin contains overflow.

Summary of observed and predicted yields in the control regions and signal region categories. The background prediction is shown after the combined likelihood fit to data under the background-only hypothesis across all control region and signal region categories. The uncertainties include statistical and systematic uncertainties. Due to correlations, the total background uncertainty is not necessarily equal to the sum in quadrature of the uncertainties of the individual background processes. The expected yields for benchmark signals with mVLQ=1.2 TeV obtained by using their theoretical cross-sections are also shown with their pre-fit uncertainties. Dashes indicate negligible yields.

Summary of observed and predicted yields in the control regions and signal region categories. The background prediction is shown before the combined likelihood fit to data under the background-only hypothesis across all control region and signal region categories. The uncertainties include statistical and systematic uncertainties. The expected yields for benchmark signals with mVLQ=1.2 TeV obtained by using their theoretical cross sections are also shown with their pre-fit uncertainties. Dashes indicate negligible yields.

Summary of data and background yields in all analysis categories after the background-only fit. The expected yields for singlet TT̄ signal with mT=1.2 TeV are also shown for comparison. The bottom panel shows the ratio of the data over the total background prediction. The shaded band includes statistical and post-fit systematic uncertainties.

Comparison of the distribution of the scalar sum of small-$R$ jet and lepton transverse momenta, $S_T$, between data and the background prediction in the signal region of the pair-production (PP) $\geq 3\ell$ channel. The background prediction is shown post-fit, i.e. after the fit to the data $S_T$ distributions under the background-only hypothesis. The last bin contains the overflow. An example distribution for a $B\bar B$ signal in the singlet model with $m_B$ = 900 GeV is overlaid.

Comparison of the distribution of the invariant mass of the $Z$ boson candidate and the highest-$p_T$ top-tagged large-$R$ jet, $m_{Zt}$, between data and the background prediction in the signal region of the single-production (SP) 2$\ell$ channel. The background prediction is shown post-fit, i.e. after the fit to the data $m_{Zt}$ distributions under the background-only hypothesis. The last bin contains the overflow. An example distribution for a single-$T$-quark signal with $m_T$ = 900 GeV and $\kappa_T = 0.5$ is overlaid.

Comparison of the distribution of the scalar sum of small-$R$ jet and lepton transverse momenta, $S_T$, between data and the background prediction in the signal region of the single-production (SP) $\geq 3\ell$ channel. The background prediction is shown post-fit, i.e. after the fit to the data $S_T$ distributions under the background-only hypothesis. The last bin contains the overflow. An example distribution for a single-$T$-quark signal with $m_T$ = 900 GeV and $\kappa_T$ = 0.5 is overlaid.

Upper limits at 95$\%$ CL on the cross section of vector-like quark pair production (PP) for $T\bar T$ in the singlet model. The expected limits are shown for the combination of the channels, as are the observed limits.

Upper limits at 95$\%$ CL on the cross section of vector-like quark pair production (PP) for $B\bar B$ in the singlet model. The expected limits are shown for the combination of the channels, as are the observed limits.

Upper limits at 95$\%$ CL on the cross section of vector-like quark pair production (PP) for $T\bar T$ in the doublet model. The expected limits are shown for the combination of the channels, as are the observed limits.

Upper limits at 95$\%$ CL on the cross section of vector-like quark pair production (PP) for $B\bar B$ in the doublet model. The expected limits are shown for the combination of the channels, as are the observed limits.

Upper limits at 95$\%$ CL on the cross section of vector-like quark pair production (PP) for $T\bar T$ with a BR of 100$\%$ to $Zt$. The expected limits are shown for the combination of the channels, as are the observed limits.

Upper limits at 95$\%$ CL on the cross section of vector-like quark pair production (PP) for $B\bar B$ with a BR of 100$\%$ to $Zb$. The expected limits are shown for the combination of the channels, as are the observed limits.

Expected 95$\%$ CL lower limits from the combination of the pair-production channels on the mass of vector-like quarks for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$, adding up to unity.

Observed 95$\%$ CL lower limits from the combination of the pair-production channels on the mass of vector-like quarks for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$, adding up to unity.

Expected 95$\%$ CL lower limits from the combination of the pair-production channels on the mass of vector-like quarks for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$, adding up to unity.

Observed 95$\%$ CL lower limits from the combination of the pair-production channels on the mass of vector-like quarks for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$, adding up to unity.

Upper limits at 95$\%$ CL on the cross section times BR to $Zt$ of single production (SP) of a $T$-quark. The expected limits are shown for the combination of the channels, as are the observed limits. The expected cross section times BR to $Zt$ for single-$T$-quark production is also shown for a coupling $\kappa_T = 0.5$, which corresponds to a coupling of $c_W = \sqrt{c^2_{W,L} + c^2_{W,R}} = 0.45$ from Ref. [14]. The BR assumed here corresponds to the singlet benchmark model, i.e. $\approx 25\%$.

Expected and observed 95$\%$ CL limits from the combination of the single-production channels on the coupling of the $T$ quark to SM particles, $c_W = \sqrt c^2_L + c^2_R$, assuming the singlet-model BR of $\approx 25\%$, as a function of the mass of the $T$ quark, $m_T$. Values of $c_W$ larger than the observed limit are excluded.

Expected and observed 95$\%$ CL limits from the combination of the single-production channels on the mixing angle in the singlet model between the $T$ quark and the top quark, $|\sin\theta_L|$, as a function of the mass of the $T$ quark, $m_T$. Values of $|\sin\theta_L|$ enclosed by the observed limit are excluded, i.e. for $m_T$ larger than $\approx 1200$ GeV, no value of $|\sin\theta_L|$ is excluded.

Expected lower limit from the combination of the single-production channels on the mass of the $T$ quark as a function of the couplings of the $T$ quark to the $W$ boson, $\sqrt c^2_L + c^2_R$, and to the $Z$ boson, $\sqrt c^2_L + c^2_R$ with the assumption of equal BRs for $T\rightarrow Zt$ and $T\rightarrow Ht$ in the limit of large $T$-quark masses.

Observed lower limit from the combination of the single-production channels on the mass of the $T$ quark as a function of the couplings of the $T$ quark to the $W$ boson, $\sqrt c^2_L + c^2_R$, and to the $Z$ boson, $\sqrt c^2_L + c^2_R$ with the assumption of equal BRs for $T\rightarrow Zt$ and $T\rightarrow Ht$ in the limit of large $T$-quark masses.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 500 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 600 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 700 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 750 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 800 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 850 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 900 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 950 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 1000 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 1050 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 1100 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 1150 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 1200 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 1300 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow T\bar T)$ for the combination of the pair-production channels for all combinations of BRs for $T\rightarrow Zt$, $T\rightarrow Ht$, $T\rightarrow Wb$ adding up to unity for a $T$-quark mass of 1400 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 500 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 600 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 700 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 750 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 800 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 850 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 900 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 950 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 1000 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 1050 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 1100 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 1150 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 1200 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 1300 GeV.

Observed upper limits at 95$\%$ CL on $\sigma(pp\rightarrow B\bar B)$ for the combination of the pair-production channels for all combinations of BRs for $B\rightarrow Zb$, $B\rightarrow Hb$, $B\rightarrow Wt$ adding up to unity for a $B$-quark mass of 1400 GeV.

Observed upper limits at 95$\%$ CL on the cross section times BR to $Zt$ as a function of the vector-like $T$-quark mass and coupling $\kappa_T$ for the combination of the SP $2\ell$ and SP $\geq 3\ell$ channels.

Signal cutflows for the $B\bar B$ process in the singlet model in the PP $2\ell$ $0-1$J channel in the 0-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the singlet model in the PP $2\ell$ $0-1$J channel in the 1-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the doublet model in the PP $2\ell$ $0-1$J channel in the 0-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the doublet model in the PP $2\ell$ $0-1$J channel in the 1-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the case of 100$\%$ BR for $B \rightarrow Zb$ in the PP $2\ell$ $0-1$J channel in the 0-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the case of 100$\%$ BR for $B \rightarrow Zb$ in the PP $2\ell$ $0-1$J channel in the 1-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the singlet model in the PP $2\ell$ $0-1$J channel in the 0-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the singlet model in the PP $2\ell$ $0-1$J channel in the 1-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the doublet model in the PP $2\ell$ $0-1$J channel in the 0-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the doublet model in the PP $2\ell$ $0-1$J channel in the 1-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the case of 100$\%$ BR for $T \rightarrow Zt$ in the PP $2\ell$ $0-1$J channel in the 0-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the case of 100$\%$ BR for $T \rightarrow Zt$ in the PP $2\ell$ $0-1$J channel in the 1-large-$R$ jet SR. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the singlet model in the PP $2\ell$ $\geq 2$J channel. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the singlet model in the PP $2\ell$ $\geq 2$J channel. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the doublet model in the PP $2\ell$ $\geq 2$J channel. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the doublet model in the PP $2\ell$ $\geq 2$J channel. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the case of 100$\%$ BR for $T \rightarrow Zt$ in the PP $2\ell$ $\geq 2$J channel. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the case of 100$\%$ BR for $B \rightarrow Zb$ in the PP $2\ell$ $\geq 2$J channel. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the singlet model in the PP $\geq 3\ell$ channel. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the singlet model in the PP $\geq 3\ell$ channel. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the doublet model in the PP $\geq 3\ell$ channel. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the doublet model in the PP $\geq 3\ell$ channel. Only statistical uncertainties are shown.

Signal cutflows for the $T\bar T$ process in the case of 100$\%$ BR for $T \rightarrow Zt$ in the PP $\geq 3\ell$ channel. Only statistical uncertainties are shown.

Signal cutflows for the $B\bar B$ process in the case of 100$\%$ BR for $B \rightarrow Zb$ in the PP $\geq 3\ell$ channel. Only statistical uncertainties are shown.

Signal cutflows for single-$T$-quark production with $\kappa_T = 0.5$ in the SP $2\ell$ channel. Only statistical uncertainties are shown.

Signal cutflows for single-$T$-quark production with $\kappa_T = 0.5$ in the SP $\geq 3\ell$ channel. Only statistical uncertainties are shown.

Signal efficiencies in $\%$ in the PP $2\ell$ $0-1$J channel in the 0-large-$R$ jet SR. Uncertainties are statistical only.

Signal efficiencies in $\%$ in the PP $2\ell$ $0-1$J channel in the 1-large-$R$ jet SR. Uncertainties are statistical only.

Signal efficiencies in $\%$ in the PP $2\ell$ $\geq 2$J channel. Uncertainties are statistical only.

Signal efficiencies in $\%$ in the PP $\geq 3\ell$ channel. Uncertainties are statistical only.

Signal efficiencies in $\%$ in the SP $2\ell$ channel for $\kappa_T = 0.5$. Uncertainties are statistical only.

Signal efficiencies in $\%$ in the SP $\geq 3\ell$ channel for $\kappa_T = 0.5$. Uncertainties are statistical only.