Measured and predicted fiducial cross-sections in both the lllljj and ll$\nu\nu$jj channels for the inclusive ZZjj processes. Uncertainties due to different sources are presented.

Measured and predicted fiducial cross-sections in both the lllljj and ll$\nu\nu$jj channels for the inclusive ZZjj processes. Uncertainties due to different sources are presented.

Observed and expected multivariate discriminant distribution in the $\ell\ell\ell\ell jj$ QCD CR.

Observed and expected multivariate discriminant distribution in the $\ell\ell\ell\ell jj$ QCD CR.

Observed and expected multivariate discriminant distribution in the $\ell\ell\ell\ell jj$ SR.

Observed and expected multivariate discriminant distribution in the $\ell\ell\ell\ell jj$ SR.

Observed and expected multivariate discriminant distribution in the $\ell\ell\nu\nu jj$ SR.

Observed and expected multivariate discriminant distribution in the $\ell\ell\nu\nu jj$ SR.

Distribution of $S$, which is one of the discriminating variables used to define the $2\ell^{sc}$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $E_{T}^{miss}$, which is one of the discriminating variables used to define the $3\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $\Delta R_{\ell^{\pm}\ell^{\pm}}$, which is one of the discriminating variables used to define the $3\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $m_{x\ell}$ ($x$=3), which is one of the discriminating variables used to define the $3\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $p_{T}^{leading jet}$, which is one of the discriminating variables used to define the $3\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $E_{T}^{miss}$, which is one of the discriminating variables used to define the $4\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $\Delta R_{\ell^{\pm}\ell^{\pm}}^{min}$, which is one of the discriminating variables used to define the $4\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $m_{x\ell}$ ($x$=4), which is one of the discriminating variables used to define the $4\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Distribution of $p_{T}^{\ell_{1}}$, which is one of the discriminating variables used to define the $4\ell$ SRs. The events are selected with the preselection requirements listed in Table 4 in the paper. The data (dots) are compared with the expected contributions from the relevant background sources (histograms). The expected signal distributions for $m_{H^{\pm\pm}} = 300~GeV$ are also shown, scaled to the observed number of events. The last bin includes overflows.

Contributions from different categories of uncertainties relative to the expected background yields in the defined SRs, as obtained after performing the likelihood ratio test discussed in Section 9 in the paper. The uncertainties are shown for the combination of the individual channels of the $2\ell^{sc}$, $3\ell$ and $4\ell$ SRs. The SRs are indicated along the horizontal axis. In the HEPData entry, the x-axis is simplified for easier visualisation. The first number indicates the sub channel (2:$2\ell^{sc}$, 3:$3\ell$, 4:$4\ell$), while the second number indicates the mass point (2:200, 3:300, 4:400, 5:500).

Data event yields compared with the expected contributions from relevant background sources, for the combination of the individual channels of the $2\ell^{sc}$, $3\ell$ and $4\ell$ SRs. The total uncertainties in the expected event yields are shown as the hatched bands. The SRs are indicated along the horizontal axis. In the HEPData entry, the x-axis is simplified for easier visualisation. The first number indicates the sub channel (2:$2\ell^{sc}$, 3:$3\ell$, 4:$4\ell$), while the second number indicates the mass point (2:200, 3:300, 4:400, 5:500).

The $E_{T}^{miss}$ distribution for the SRs of the $m_{H^{\pm\pm}} = 300~GeV$ signal mass hypothesis, where the selection requirement on $E_{T}^{miss}$ has been removed. In the attached plot, the signals are stacked on top of the backgrounds while individuals contributions of the $2\ell^{sc}$ channel are shown in HEPData. The last bin, isolated by a vertical red dashed line, is inclusive and corresponds to the SR.

The $E_{T}^{miss}$ distribution for the SRs of the $m_{H^{\pm\pm}} = 300~GeV$ signal mass hypothesis, where the selection requirement on $E_{T}^{miss}$ has been removed. In the attached plot, the signals are stacked on top of the backgrounds while individuals contributions of the $3\ell$ channel are shown in HEPData. The last bin, isolated by a vertical red dashed line, is inclusive and corresponds to the SR.

The $E_{T}^{miss}$ distribution for the SRs of the $m_{H^{\pm\pm}} = 300~GeV$ signal mass hypothesis, where the selection requirement on $E_{T}^{miss}$ has been removed. In the attached plot, the signals are stacked on top of the backgrounds while individuals contributions of the $4\ell$ channel are shown in HEPData. The last bin, isolated by a vertical red dashed line, is inclusive and corresponds to the SR.

Observed and expected upper limits of the $H^{\pm\pm}$ pair production cross section times branching fraction at 95% CL obtained from the combination of 2$\ell^{sc}$, 3$\ell$ and 4$\ell$ channels. The region above the observed limit is excluded by the measurement. The bands represent the expected exclusion curves within one and two standard deviations.

The theoretical prediction of Figure 9(a) in the paper.

Observed and expected upper limits of the $H^{\pm\pm}$ and $H^{\pm}$ production cross section times branching fraction at 95% CL obtained from the combination of 2$\ell^{sc}$, 3$\ell$ and 4$\ell$ channels. The region above the observed limit is excluded by the measurement. The bands represent the expected exclusion curves within one and two standard deviations.

The theoretical prediction of Figure 9(b) in the paper.

Data event yields compared with the estimated background in the $m_{H^{\pm\pm}} = 200~GeV$ or $m_{H^{\pm\pm}} = 220~GeV$ SRs. SFOC 0 and SFOC 1,2 refer to the number of same-flavour opposite charge lepton pairs. The total uncertainties in the estimated background yields are shown as the hashed bands. In the HEPData entry, the x-axis is simplified for easier visualisation (1:$e^{\pm}e^{\pm}$, 2:$e^{\pm}\mu^{\pm}$, 3:$\mu^{\pm}\mu^{\pm}$, 4:SFOC 0, 5:SFOC 1,2, 6:$4\ell$).

Data event yields compared with the estimated background in the $m_{H^{\pm\pm}} = 300~GeV$ or $m_{H^{\pm\pm}} = 350~GeV$ SRs. SFOC 0 and SFOC 1,2 refer to the number of same-flavour opposite charge lepton pairs. The total uncertainties in the estimated background yields are shown as the hashed bands. In the HEPData entry, the x-axis is simplified for easier visualisation (1:$e^{\pm}e^{\pm}$, 2:$e^{\pm}\mu^{\pm}$, 3:$\mu^{\pm}\mu^{\pm}$, 4:SFOC 0, 5:SFOC 1,2, 6:$4\ell$).

Data event yields compared with the estimated background in the $m_{H^{\pm\pm}} = 400~GeV$ or $m_{H^{\pm\pm}} = 450~GeV$ SRs. SFOC 0 and SFOC 1,2 refer to the number of same-flavour opposite charge lepton pairs. The total uncertainties in the estimated background yields are shown as the hashed bands. In the HEPData entry, the x-axis is simplified for easier visualisation (1:$e^{\pm}e^{\pm}$, 2:$e^{\pm}\mu^{\pm}$, 3:$\mu^{\pm}\mu^{\pm}$, 4:SFOC 0, 5:SFOC 1,2, 6:$4\ell$).

Data event yields compared with the estimated background in the $m_{H^{\pm\pm}} = 500~GeV$ or $m_{H^{\pm\pm}} = 550~GeV$ or $m_{H^{\pm\pm}} = 600~GeV$ SRs. SFOC 0 and SFOC 1,2 refer to the number of same-flavour opposite charge lepton pairs. The total uncertainties in the estimated background yields are shown as the hashed bands. In the HEPData entry, the x-axis is simplified for easier visualisation (1:$e^{\pm}e^{\pm}$, 2:$e^{\pm}\mu^{\pm}$, 3:$\mu^{\pm}\mu^{\pm}$, 4:SFOC 0, 5:SFOC 1,2, 6:$4\ell$).

Summary of the observed and expected 95% CL upper limits on the cross section for $\mathrm{LQ}_{3}^{\mathrm{d}}$ pair production as a function of $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$ under the assumptions of B=1.

Summary of the observed and expected 95% CL upper limits on B as a function of $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$.

Summary of the observed and expected 95% CL upper limits on B as a function of $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$.

Cutflow of the preselection requirements (see Section 5) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Cutflow of the preselection requirements (see Section 5) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Cutflow of the signal region requirements in 1$\ell+\geq 1\tau$ channel (see Table 3) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. Events that satisfy the preselection requirements are considered. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Cutflow of the signal region requirements in 1$\ell+\geq 1\tau$ channel (see Table 3) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. Events that satisfy the preselection requirements are considered. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Cutflow of the signal region requirements in the 2$\ell$OS+$\geq 1\tau$ channel (see Table 4) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. Events that satisfy the preselection requirements are considered. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Cutflow of the signal region requirements in the 2$\ell$OS+$\geq 1\tau$ channel (see Table 4) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. Events that satisfy the preselection requirements are considered. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Cutflow of the signal region requirements in the $2\ell$SS/$3\ell+\geq 1\tau$ channel (see Table 5) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. Events that satisfy the preselection requirements are considered. In this channel, two signal regions (SR-L and SR-H) are defined based on $p_{\mathrm{T}, 1}^{\tau}$, with SR-L and SR-H requiring $125< p_{\mathrm{T}, 1}^{\tau} < 225$ GeV and $p_{\mathrm{T}, 1}^{\tau}>225$ GeV, respectively. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Cutflow of the signal region requirements in the $2\ell$SS/$3\ell+\geq 1\tau$ channel (see Table 5) for $\mathrm{LQ}_{3}^{\mathrm{d}}$ signals with $m_{\mathrm{LQ}_{3}^{\mathrm{d}}}$=0.9, 1.1, and 1.3 TeV, assuming B=1. Events that satisfy the preselection requirements are considered. In this channel, two signal regions (SR-L and SR-H) are defined based on $p_{\mathrm{T}, 1}^{\tau}$, with SR-L and SR-H requiring $125< p_{\mathrm{T}, 1}^{\tau} < 225$ GeV and $p_{\mathrm{T}, 1}^{\tau}>225$ GeV, respectively. The yields correspond to an integrated luminosity of 139 fb$^{-1}$.

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of single plus non-resonant plus pair vector LQ production from the combination of the high b-jet $p_{T}$ signal region for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.0]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of single plus non-resonant plus pair vector LQ production from the combination of the high b-jet $p_{T}$ signal region for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.7]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of single plus non-resonant plus pair vector LQ production from the combination of the high b-jet $p_{T}$ signal region for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 2.5]

The two-dimensional 95% CL exclusion limits in the $\lambda$-$m_{LQ}$ plane for singly plus non-resonant produced vector LQ (green lines) and for the sum, referred as Total, of single plus non-resonant plus pair vector LQ production (blue lines). Regions to the left of the lines are excluded. The dotted area shows the preferred region where the chosen LQ model can explain observed B anomalies. [$\kappa$ = 0]

The two-dimensional 95% CL exclusion limits in the $\lambda$-$m_{LQ}$ plane for singly plus non-resonant produced vector LQ (green lines) and for the sum, referred as Total, of single plus non-resonant plus pair vector LQ production (blue lines). Regions to the left of the lines are excluded. The dotted area shows the preferred region where the chosen LQ model can explain observed B anomalies. [$\kappa$ = 1]

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.0 on the cross-section of single plus non-resonant plus pair $\widetilde{S_{1}}$ production hypotheses from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.7 on the cross-section of single plus non-resonant plus pair $\widetilde{S_{1}}$ production hypotheses from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 2.5 on the cross-section of single plus non-resonant plus pair $\widetilde{S_{1}}$ production hypotheses from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels.

The two-dimensional 95% CL exclusion limits in the $\lambda$-$m_{LQ}$ plane for singly plus non-resonant produced $\widetilde{S_{1}}$ (green lines) and for the sum, referred as Total, of single plus non-resonant plus pair vector LQ production (blue lines). Regions to the left of the lines are excluded.

Observed (solid line) and expected (dashed line) 95% upper limits on the visible cross-section, $\sigma_{\mathrm{vis}}$, obtained from model-independent search by a signal-plus-background fit in the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels.

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly plus non-resonant produced vector LQ signals from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 1.0]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly plus non-resonant produced vector LQ signals from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 1.7]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly plus non-resonant produced vector LQ signals from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 2.5]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly plus non-resonant produced vector LQ signals from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.0]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly plus non-resonant produced vector LQ signals from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.7]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly plus non-resonant produced vector LQ signals from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 2.5]

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.0 on the cross-section of singly produced $\widetilde{S_{1}}$ signal hypotheses from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.7 on the cross-section of singly produced $\widetilde{S_{1}}$ signal hypotheses from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 2.5 on the cross-section of singly produced $\widetilde{S_{1}}$ signal hypotheses from the combination of the high b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels.

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $\widetilde{S_{1}}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 1.0]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $\widetilde{S_{1}}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 1.7]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $\widetilde{S_{1}}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 2.5]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $U_1^{MIN}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 1.0]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $U_1^{MIN}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 1.7]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $U_1^{MIN}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 2.5]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $U_1^{YM}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 1.0]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $U_1^{YM}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 1.7]

The signal acceptance times efficiency for single plus non-resonant produced LQ in the $U_1^{YM}$ model from the combination of the high and low b-jet $p_{T}$ signal regions for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels. [$\lambda$ = 2.5]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly produced vector LQ signals from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 1.0]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly produced vector LQ signals from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 1.7]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly produced vector LQ signals from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 2.5]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly produced vector LQ signals from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.0]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly produced vector LQ signals from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.7]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of singly produced vector LQ signals from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 2.5]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of the single plus non-resonant plus pair production of vector LQ from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 1.0]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of the single plus non-resonant plus pair production of vector LQ from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 1.7]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of the single plus non-resonant plus pair production of vector LQ from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{YM}$ model ($\kappa$ = 0) with $\lambda$ = 2.5]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of the single plus non-resonant plus pair production of vector LQ from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.0]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of the single plus non-resonant plus pair production of vector LQ from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 1.7]

Observed (solid line) and expected (dashed line) 95% CL upper limits on the cross-section of the single plus non-resonant plus pair production of vector LQ from the combination of the high and low b-jet $p_{T}$ category for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$U_1^{MIN}$ model ($\kappa$ = 1) with $\lambda$ = 2.5]

The two-dimensional 95% CL exclusion limits in the $\lambda$-$m_{LQ}$ plane for singly plus non-resonant produced vector LQ (green lines) and for the sum, referred as Total, of single plus non-resonant plus pair vector LQ production (blue lines).Regions to the left of the lines are excluded. The dotted area shows the preferred region where the chosen LQ model can explain observed B anomalies. Results are extracted from the combination of the high and low b-jet $p_{T}$ signal region for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$\kappa$ = 0]

The two-dimensional 95% CL exclusion limits in the $\lambda$-$m_{LQ}$ plane for singly plus non-resonant produced vector LQ (green lines) and for the sum, referred as Total, of single plus non-resonant plus pair vector LQ production (blue lines).Regions to the left of the lines are excluded. The dotted area shows the preferred region where the chosen LQ model can explain observed B anomalies. Results are extracted from the combination of the high and low b-jet $p_{T}$ signal region for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region. [$\kappa$ = 1]

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.0 on the cross-section of singly-produced $\widetilde{S_{1}}$ signals from the combination of the high and low b-jet $p_{T}$ categories for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.7 on the cross-section of singly-produced $\widetilde{S_{1}}$ signals from the combination of the high and low b-jet $p_{T}$ categories for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 2.5 on the cross-section of singly-produced $\widetilde{S_{1}}$ signals from the combination of the high and low b-jet $p_{T}$ categories for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.0 on the cross-section of single plus non-resonant plus pair $\widetilde{S_{1}}$ production signal from the combination of the high and low b-jet $p_{T}$ categories for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 1.7 on the cross-section of single plus non-resonant plus pair $\widetilde{S_{1}}$ production signal from the combination of the high and low b-jet $p_{T}$ categories for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region.

Observed (solid line) and expected (dashed line) 95% CL upper limits for $\lambda$ = 2.5 on the cross-section of single plus non-resonant plus pair $\widetilde{S_{1}}$ production signal from the combination of the high and low b-jet $p_{T}$ categories for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region.

The two-dimensional 95% CL exclusion limits in the $\lambda$-$m_{LQ}$ plane for singly plus non-resonant produced $\widetilde{S_{1}}$ (green lines) and for the sum, referred as Total, of single plus non-resonant plus pair $\widetilde{S_{1}}$ production (blue lines). Regions to the left of the lines are excluded. Results are extracted from the combination of the high and low b-jet $p_{T}$ signal region for the $\tau_\text{lep}\tau_\text{had}$ and $\tau_\text{had}\tau_\text{had}$ channels, neglecting the interference between the LQ non-resonant production processes and the SM processes. However, the interference between the non-resonant LQ production and SM diagrams, such as those from Z+jets, could be non-negligible for events in the low b-jet $p_{T}$ signal region.

Measured unfolded differential cross-section as a function of the dilepton transverse momentum $p^{ll}_{\mathrm{T}}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Measured unfolded differential cross-section as a function of the the four-body transverse momentum $p^{ll\gamma\gamma}_{\mathrm{T}}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Measured unfolded differential cross-section as a function of the diphoton invariant mass $m_{\gamma\gamma}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Measured unfolded differential cross-section as a function of the four-body invariant mass $m_{ll\gamma\gamma}$. NLO predictions from Sherpa 2.2.10 and MadGraph5_aMC@NLO 2.7.3 are also shown. The uncertainty in the predictions is divided into statistical and theoretical uncertainties (scale and PDF+$\alpha_{s}$).

Expected and observed $95\%$ confidence intervals for the coupling parameters $f_{T,j}/\Lambda^{4}$ of transverse dimension-8 operators. All parameter values outside of the stated range are excluded at the chosen confidence level. No unitarity constraints are applied.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,8}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,0}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,1}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,2}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,5}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,6}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,7}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Expected and observed unitarised $95\%$ confidence intervals for the coupling parameter $f_{T,9}/\Lambda^{4}$ in the clipping energy range between 1.1 and 5 TeV. The non-unitarised limits ($E_c = \infty$) are also shown. All parameter values outside of the stated range are excluded at the chosen confidence level.

Summary of results for cross-section of non-prompt $\psi(2S)$ decaying to a muon pair for 13 TeV data in fb/GeV. Uncertainties are statistical and systematic, respectively.

Summary of results for non-prompt fraction of $J/\psi$ decaying to a muon pair as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Summary of results for non-prompt fraction of $\psi(2S)$ decaying to a muon pair as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Summary of results for prompt $\psi(2S)$ over $J/\psi$ ratio as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Summary of results for non-prompt $\psi(2S)$ over $J/\psi$ ratio as a percentage for 13 TeV data. Uncertainties are statistical and systematic, respectively.

Correction factors for an assumed angular dependence $\propto 1+\lambda_{\theta} \cos^2\theta $ in the helicity frame, for several values of the parameter $\lambda_{\theta}$. The correction factors were found to be the same (within 1% - 2%) for $J\psi$ and $\psi(2S)$ mesons, for prompt and non-prompt production mechanisms, and for the three rapidity intervals considered in this paper.

Measured $p_T$ cross sections in full-lepton phase space for 1.2 < |y| < 1.6.

Measured $p_T$ cross sections in full-lepton phase space for 1.6 < |y| < 2.0.

Measured $p_T$ cross sections in full-lepton phase space for 2.0 < |y| < 2.4.

Measured $p_T$ cross sections in full-lepton phase space for 2.4 < |y| < 2.8.

Measured $p_T$ cross sections in full-lepton phase space for 2.8 < |y| < 3.2.

Measured cross sections in full-lepton phase space as a function of |y|.

Normalised measured $p_T$ cross sections in full-lepton phase space for |y| < 1.6.

Expected and observed number of events with m_ll > 1300 GeV in the dielectron and dimuon channels. Yields given for different MS values correspond to the sum of signal and background events, with the signal obtained in the GRW formalism. All yields are normalized to the Z peak control region. The errors quoted originate from systematic uncertainties and limited MC statistics.

Expected and observed 95% C.L. lower limits on MS in the dielectron and dimuon channels, as well as for the combination of those channels without and with the diphoton channel in the GRW formalism. Separate results are provided for the different choices of flat priors.

Observed 95% C.L. lower limits on MS (in units of TeV), including systematic uncertainties, for ADD signal in the GRW, Hewett and HLZ formalisms with no K-factor applied to the signal. Separate results are provided for the different choices of flat priors.

Observed 95% C.L. lower limits on of TeV), including systematic uncertainties, for in the GRW, Hewett and HLZ formalisms with K-factors of 1.6 and 1.7 applied to the signal for the dilepton and diphoton channels, respectively. Separate results are provided for the different choices of flat priors.

Number of tracks in vertex vs invariant mass of vertex (DATA) The number of tracks in the vertex vs the invariant mass of the vertex, for the data, and for the MH signal sample respectively. All selection cuts are applied, with the exceptions of those on the variables in the plot (Ntrk and mass), and the offline muon requirements.

Number of tracks in vertex vs invariant mass of vertex (SIGNAL) The number of tracks in the vertex vs the invariant mass of the vertex, for the data, and for the MH signal sample respectively. All selection cuts are applied, with the exceptions of those on the variables in the plot (Ntrk and mass), and the offline muon requirements.

95% CL upper limit on sigma.BR^2 vs c*tau The observed 95% CL upper limits on the cross-section for squark production, multiplied by the branching fraction for both squarks to decay to long-lived neutralinos, which in turn decay to mu+jets, given that we observed zero events in the signal region.

Expected upper limit on sigma.BR^2 vs c*tau The expected 95% CL upper limits on the cross-section for squark production, multiplied by the branching fraction for both squarks to decay to long-lived neutralinos, which in turn decay to mu+jets.

Fiducial Upsilon(3S) production cross-section, where pT>4 GeV and |eta|<2.3 for both muons, as a function of Upsilon(3S) pT in the Upsilon(3S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic.

Fiducial Upsilon(nS) production cross-section, where pT>4 GeV and |eta|<2.3 for both muons, as a function of Upsilon(nS) rapidity (|y|) in Upsilon(nS) PT ranging from 0 - 70 GeV. The first uncertainty is statistical, the second is systematic.

Inclusive Upsilon(1S) production cross-section as a function of Upsilon(1S) pT in the Upsilon(1S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Inclusive Upsilon(2S) production cross-section as a function of Upsilon(2S) pT in the Upsilon(2S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Inclusive Upsilon(3S) production cross-section as a function of Upsilon(3S) pT in the Upsilon(3S) rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Inclusive Upsilon(nS) production cross-section as a function of Upsilon(nS) rapidity (|y|) in Upsilon(nS) PT ranging from 0 - 70 GeV. The first uncertainty is statistical, the second is systematic and the third encapsulates any possible variation due to spin-alignment from the unpolarised central value.

Ratio of Upsilon(2S) to Upsilon(1S) inclusive cross-section as a function of Upsilon pT in the Upsilon rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic.

Ratio of Upsilon(3S) to Upsilon(1S) inclusive cross-section as a function of Upsilon pT in the Upsilon rapidity (|y|) bins 0-1.2 and 1.2-2.25. The first uncertainty is statistical, the second is systematic.

Ratio of Upsilon(2S) and Upsilon(3S) to Upsilon(1S) inclusive cross-section as a function of Upsilon rapidity (|y|) in Upsilon pT 0 - 70 GeV. The first uncertainty is statistical, the second is systematic.