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.

Data from Fig. 3 lower right panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 13$ TeV as a function of the jet multiplicity with $|\eta_{j}| < 2.4$.

Data from Fig. 4 upper right panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 13$ TeV as a function of the p$_T$-leading jet transverse momentum with $|\eta_{j}| < 4.7$.

Data from Fig. 5 left panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 13$ TeV as a function of the p$_T$-leading jet transverse momentum with $|\eta_{j}| < 4.7$.

Data from Fig. 4 lower right panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 13$ TeV as a function of the p$_T$-leading jet $|\eta_{j}|$ with $|\eta_{j}| < 4.7$.

Data from Fig. 5 right panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 13$ TeV as a function of the p$_T$-subleading jet $|\eta_{j}|$ with $|\eta_{j}| < 4.7$.

Data from Fig. 6 left panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 13$ TeV as a function of the invariant mass of the two p$_T$ leading jets with $|\eta_{j}| < 4.7$.

Data from Fig. 6 right panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 13$ TeV as a function of the invariant of pseudorapidity separation of the two $p$_T$ leading jets with $|\eta_{j}| < 4.7$.

Data from Fig. 2 upper left. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ differential cross section at $\sqrt{s} = 8$ TeV as a function of the jet multiplicity with $|\eta| < 4.7$.

Data from Fig. 3 upper left panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 8$ TeV as a function of the jet multiplicity with $|\eta| < 4.7$.

Data from Fig. 2 lower left panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ differential cross section at $\sqrt{s} = 8$ TeV as a function of the jet multiplicity with $|\eta| < 2.4$.

Data from Fig. 3 lower left panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 8$ TeV as a function of the jet multiplicity with $|\eta| < 2.4$.

Data from Fig. 4 upper left panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 8$ TeV as a function of the p$_T$-leading jet transverse momentum with $|\eta| < 4.7$.

Data from Fig. 4 lower left panel. The $\textrm{pp} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$ normalized differential cross section at $\sqrt{s} = 8$ TeV as a function of the p$_T$-leading jet transverse $\eta$ with $|\eta| < 4.7$.

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Charged particles are selected with $p_{\rm T} > 0.5 $ GeV and $|\eta| < 2.4$. Trigger particles correspond to those with energy $ E> 5 $ GeV located in $side^-$ (defined as $-5 < \eta < -3$) and/or $side^+$ (defined as $3 < \eta < 5$). A veto corresponds to the absence of a trigger particle with $ E> 5 $GeV in $side^-$ and/or $side^+$ .

Data-to-cocktail ratio as a function of the invariant-mass. In the hadronic cocktail, random correlations of dielectrons from charm decays are assumed to simulate the effects of the interaction between charm quarks and the medium. The statistical and systematic uncertainties of data are represented by vertical bars and boxes.

Dielectron invariant-mass spectrum measured in central Pb-Pb collisions for the transverse-momentum interval 1.0 < $p_{\rm T,ee}$ < 2.0 GeV/$c. The statistical and systematic uncertainties of the data are represented by vertical bars and boxes.

Dielectron invariant-mass spectrum measured in central Pb--Pb collisions for the transverse-momentum interval 2.0 < $p_{\rm T,ee}$ < 4.0 GeV/$c. The statistical and systematic uncertainties of the data are represented by vertical bars and boxes.

Direct photon ratio $R_{\gamma^{(*)}}=1+\gamma^{(*)}_{\mathrm{dir}}/\gamma^{(*)}_{\mathrm{decay}}$ measured using virtual photons in the centrality range 0$-$10$\%$. The statistical and systematic uncertainties of the data are represented by vertical bars and boxes.

The symmetric cumulant $sc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The symmetric cumulant $sc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The symmetric cumulant $sc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The symmetric cumulant $sc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The symmetric cumulant $sc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The symmetric cumulant $sc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The symmetric cumulant $sc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The symmetric cumulant $sc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The symmetric cumulant $sc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The asymmetric cumulant $ac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The asymmetric cumulant $ac_{2}\{3\}$results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The asymmetric cumulant $ac_{2}\{3\}$results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The asymmetric cumulant $ac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The asymmetric cumulant $ac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The asymmetric cumulant $ac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The normalized symmetric cumulant $nsc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The normalized symmetric cumulant $nsc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The normalized asymmetric cumulant $nac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The normalized symmetric cumulant $nsc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The normalized symmetric cumulant $nsc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The normalized asymmetric cumulant $nac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 13 TeV

The normalized symmetric cumulant $nsc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The normalized symmetric cumulant $nsc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The normalized asymmetric cumulant $nac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The normalized symmetric cumulant $nsc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The normalized symmetric cumulant $nsc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The normalized asymmetric cumulant $nac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The normalized symmetric cumulant $nsc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The normalized symmetric cumulant $nsc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The normalized asymmetric cumulant $nac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The normalized symmetric cumulant $nsc_{2\,3}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The normalized symmetric cumulant $nsc_{2\,4}\{4\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The normalized asymmetric cumulant $nac_{2}\{3\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The $v_{2}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The $v_{3}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The $v_{4}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The $v_{2}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The $v_{3}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The $v_{4}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The $v_{2}\{2\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The $v_{3}\{2\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The $v_{4}\{2\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The $v_{2}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The $v_{3}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The $v_{4}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pp collisions at $\sqrt{s_{NN}}$ = 13 TeV

The $v_{2}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The $v_{3}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The $v_{4}\{2\}$ results as a function of multiplicity ($N_{ch}$) in pPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV

The $v_{2}\{2\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The $v_{3}\{2\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The $v_{4}\{2\}$ results as a function of multiplicity ($N_{ch}$) in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

The symmetric cumulant $ac_{2}\{3\}$ in Pb+Pb from different methods

The symmetric cumulant $ac_{2}\{3\}$ in Pb+Pb from different methods

The symmetric cumulant $ac_{2}\{3\}$ in p+Pb from different methods

The symmetric cumulant $ac_{2}\{3\}$ in p+Pb from different methods

The symmetric cumulant $ac_{2}\{3\}$ in pp from different methods

The symmetric cumulant $ac_{2}\{3\}$ in pp from different methods

Number of data events for the 2-tag category with the loose selection in bins of diphoton mass.

Number of data events for the 1-tag category with the tight selection in bins of diphoton mass.

Number of data events for the 2-tag category with the tight selection in bins of diphoton mass.

Number of data events for the 1-tag category with the loose selection in bins of four-body mass.

Number of data events for the 2-tag category with the loose selection in bins of four-body mass.

Number of data events for the 1-tag category with the tight selection in bins of four-body mass.

Number of data events for the 2-tag category with the tight selection in bins of four-body mass.

Expected and observed upper limits at the 95% CL on the cross-section of gluon-fusion initiated Higgs boson pair production as a function of $\kappa_{\lambda}$.

Expected and observed upper limits at the 95% CL on the cross-section of gluon-fusion initiated resonant production of a Higgs boson pair as a function of the mass of the resonance, $m_X$.

Absolute cross section for ungroomed jets for pt = 460-550

Absolute cross section for ungroomed jets for pt = 550-650

Absolute cross section for ungroomed jets for pt = 650-760

Absolute cross section for ungroomed jets for pt = 760-900

Absolute cross section for ungroomed jets for pt = 900-1000

Absolute cross section for ungroomed jets for pt = 1000-1100

Absolute cross section for ungroomed jets for pt = 1100-1200

Absolute cross section for ungroomed jets for pt = 1200-1300

Absolute cross section for ungroomed jets for pt = 1300-\infty

Absolute cross section for groomed jets for pt = 200-260

Absolute cross section for groomed jets for pt = 260-350

Absolute cross section for groomed jets for pt = 350-460

Absolute cross section for groomed jets for pt = 460-550

Absolute cross section for groomed jets for pt = 550-650

Absolute cross section for groomed jets for pt = 650-760

Absolute cross section for groomed jets for pt = 760-900

Absolute cross section for groomed jets for pt = 900-1000

Absolute cross section for groomed jets for pt = 1000-1100

Absolute cross section for groomed jets for pt = 1100-1200

Absolute cross section for groomed jets for pt = 1200-1300

Absolute cross section for groomed jets for pt = 1300-\infty

Normalized cross section for ungroomed jets for pt = 200-260

Normalized cross section for ungroomed jets for pt = 260-350

Normalized cross section for ungroomed jets for pt = 350-460

Normalized cross section for ungroomed jets for pt = 460-550

Normalized cross section for ungroomed jets for pt = 550-650

Normalized cross section for ungroomed jets for pt = 650-760

Normalized cross section for ungroomed jets for pt = 760-900

Normalized cross section for ungroomed jets for pt = 900-1000

Normalized cross section for ungroomed jets for pt = 1000-1100

Normalized cross section for ungroomed jets for pt = 1100-1200

Normalized cross section for ungroomed jets for pt = 1200-1300

Normalized cross section for ungroomed jets for pt = 1300-\infty

Normalized cross section for groomed jets for pt = 200-260

Normalized cross section for groomed jets for pt = 260-350

Normalized cross section for groomed jets for pt = 350-460

Normalized cross section for groomed jets for pt = 460-550

Normalized cross section for groomed jets for pt = 550-650

Normalized cross section for groomed jets for pt = 650-760

Normalized cross section for groomed jets for pt = 760-900

Normalized cross section for groomed jets for pt = 900-1000

Normalized cross section for groomed jets for pt = 1000-1100

Normalized cross section for groomed jets for pt = 1100-1200

Normalized cross section for groomed jets for pt = 1200-1300

Normalized cross section for groomed jets for pt = 1300-\infty

The best fit signal strength for m_h = 125.09 GeV using the 13 TeV data sets.

The significance of the incompatibility with the background-only hypothesis using the 7, 8, and 13 TeV data sets.

The significance of the incompatibility with the background-only hypothesis using the 13 TeV data sets.

Fully corrected $p_{\rm T} D$ distributions in pp collisions at $\sqrt{s} = 7$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$. The results are compared to PYTHIA.

Ratio of fully corrected $p_{\rm T} D$ distributions pp collisions at $\sqrt{s} = 7$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA 8 Tune 4C simulations. The systematic uncertainty of $p_{\rm T} D$ is propagated to the ratio.

Ratio of fully corrected $p_{\rm T} D$ distributions in pp collisions at $\sqrt{s} = 7$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA Perugia 11 simulations. The systematic uncertainty of $p_{\rm T} D$ is propagated to the ratio.

Fully corrected $LeSub$ distributions in pp collisions at $\sqrt{s} = 7$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$.

Ratio of fully corrected $LeSub$ distributions in pp collisions at $\sqrt{s} = 7$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA 8 Tune 4C simulations. The systematic uncertainty of $LeSub$ is propagated to the ratio.

Ratio of fully corrected $LeSub$ distributions in pp collisions at $\sqrt{s} = 7$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA Perugia 11 simulations. The systematic uncertainty of $LeSub$ is propagated to the ratio.

Fully corrected $g$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$. The results are compared to PYTHIA.

Ratio of fully corrected $g$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA 8 Tune 4C simulations. The systematic uncertainty of $g$ is propagated to the ratio.

Ratio of fully corrected $g$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA Perugia 11 simulations. The systematic uncertainty of $g$ is propagated to the ratio.

Fully corrected $p_{\rm T} D$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$. The results are compared to PYTHIA.

Ratio of fully corrected $p_{\rm T} D$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA 8 simulations. The systematic uncertainty of $p_{\rm T} D$ is propagated to the ratio.

Ratio of fully corrected $p_{\rm T} D$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA Perugia 11 simulations. The systematic uncertainty of $p_{\rm T} D$ is propagated to the ratio.

Fully corrected $LeSub$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$. The results are compared to PYTHIA.

Ratio of fully corrected $LeSub$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA 8 simulations. The systematic uncertainty of $LeSub$ is propagated to the ratio.

Ratio of fully corrected $LeSub$ distributions in $0$--$10\%$ central Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$\,TeV for $R = 0.2$ in the range of jet $p_{\mathrm{T,jet}}^{\rm ch}$ of $40$--$60$\,GeV$/c$ and PYTHIA Perugia 11 simulations. The systematic uncertainty of $LeSub$ is propagated to the ratio.