Jet pairing efficiencies over the parameter space for the wide-width heavy resonance signals. The pairing efficiency is evaluated in the 6$b$ region when a correct pairing is possible — that is, the six leading jets are geometrically matched to truth-level b-quarks.

Distributions of scores for nonresDNN in 6b data and the background prediction after background-only fits to the observed data. The Low- and High-Score regions are included. Benchmark signal models (normalized to the background) are overlaid: SM HHH signal and non-resonant TRSM signal with $(m_X, m_S)=(400,200)$ GeV.

Distributions of scores for resDNN in 6b data and the background prediction after background-only fits to the observed data. The Low- and High-Score regions are included. A benchmark signal model (normalized to the background) is overlaid: resonant TRSM signal with $(m_X, m_S)=(500,350)$ GeV.

Distributions of scores for heavyresDNN in 6b data and the background prediction after background-only fits to the observed data. The Low- and High-Score regions are included. Benchmark signal models (normalized to the background) are overlaid: heavy-resonant signals with (mX, mS)=(900,325) GeV with a 1% or 20% width.

Expected 95% CL $HHH$ cross section upper limits for the phase space within the perturbative unitarity bounds of the TRSM signals. While the points were generated under Benchmark point 3 of the TRSM, they can also be interpreted in the DM-CPV model.

Observed 95% CL $HHH$ cross section upper limits for the phase space within the perturbative unitarity bounds of the TRSM signals. While the points were generated under Benchmark point 3 of the TRSM, they can also be interpreted in the DM-CPV model.

Expected 95% CL $HHH$ cross section upper limits for the narrow-width (1%) heavy resonance signals.

Expected 95% CL $HHH$ cross section upper limits for the wide-width (20%) heavy resonance signals.

Observed 95% CL $HHH$ cross section upper limits for the narrow-width (1%) heavy resonance signals.

Observed 95% CL $HHH$ cross section upper limits for the wide-width (20%) heavy resonance signals.

Expected 95% CL constraints on $\kappa_3$ and $\kappa_4$, the ratios of the Higgs tri-linear and quartic self-couplings to their predicted SM values.

Expected 68% CL constraints on $\kappa_3$ and $\kappa_4$, the ratios of the Higgs tri-linear and quartic self-couplings to their predicted SM values.

Observed 95% CL constraints on $\kappa_3$ and $\kappa_4$, the ratios of the Higgs tri-linear and quartic self-couplings to their predicted SM values.

Observed 68% CL constraints on $\kappa_3$ and $\kappa_4$, the ratios of the Higgs tri-linear and quartic self-couplings to their predicted SM values.

Unitarity limits, calculated in Eur. Phys. J. C 84 (2024) 366, are overlaid in the region bounded by the gray dashed line.

Overall acceptance x efficiency for events entering the 6$b$ region over the parameter space for the TRSM signals. Generator weights, and weights associated to pileup modeling corrections are applied. Jet trigger scale factors, NNJVT scale factors and scale factors associated to the $b$-tagging calibration are applied.

Overall acceptance x efficiency for events entering the 6$b$ region over the parameter space for the narrow-width heavy resonance signals. Generator weights, and weights associated to pileup modeling corrections are applied. Jet trigger scale factors, NNJVT scale factors and scale factors associated to the $b$-tagging calibration are applied.

Overall acceptance x efficiency for events entering the 6$b$ region over the parameter space for the wide-width heavy resonance signals. Generator weights, and weights associated to pileup modeling corrections are applied. Jet trigger scale factors, NNJVT scale factors and scale factors associated to the $b$-tagging calibration are applied.

Expected one-dimensional likelihood scan over the Higgs self-coupling modifier $\kappa_3$. Both of the modifiers are profiled in the profile-likelihood fit, and the likelihood scan keeps $\kappa_4$ fixed at one.

Observed one-dimensional likelihood scan over the Higgs self-coupling modifier $\kappa_3$. Both of the modifiers are profiled in the profile-likelihood fit, and the likelihood scan keeps $\kappa_4$ fixed at one.

Expected one-dimensional likelihood scan over the Higgs self-coupling modifier $\kappa_4$. Both of the modifiers are profiled in the profile-likelihood fit, and the likelihood scan keeps $\kappa_3$ fixed at one.

Observed one-dimensional likelihood scan over the Higgs self-coupling modifier $\kappa_4$. Both of the modifiers are profiled in the profile-likelihood fit, and the likelihood scan keeps $\kappa_3$ fixed at one.

Summary of the impact on the analysis of different sources of systematic uncertainty. The impact is estimated as the absolute value of the difference between the expected upper limit with all sources of uncertainty included and the upper limit with a subset of systematic uncertainties excluded. In the left-hand column, more heavily indented rows are a sub-category of the less indented row above.

Cutflow for selected signal points. Generator weights, and weights associated to pileup modeling corrections are applied from the second row onwards. These weight the SM events assuming the SM cross section, whilst the TRSM and Generic resonance events are weighted to 50 fb. Jet trigger scale factors are applied from the third row onwards. NNJVT scale factors are applied from the fourth row onwards. Scale factors associated to the b-tagging calibration are applied in the last three rows.

Two-dimensional distributions of the leading electron vs the leading muon $|d_{0}|$, for the events that pass the e$\mu$ preselection. Data events and $\tilde{t} \to b\ell$ signal events with a $\tilde{t}$ mass of 700 GeV and a proper decay length of 10 mm that correspond to 2018 data-taking conditions are shown. In each $|d_{0}|$-$|d_{0}|$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each $|d_{0}|$ variable shown.

Two-dimensional distributions of the leading vs the subleading electron $|d_0|$, for the events that pass the ee preselection. Data events and $\tilde{t} \to b\ell$ signal events with a $\tilde{t}$ mass of 700 GeV and a proper decay length of 10 mm that correspond to 2018 data-taking conditions are shown. In each $|d_{0}|$-$|d_{0}|$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each $|d_{0}|$ variable shown.

Two-dimensional distributions of the leading vs the subleading muon $|d_{0}|$, for the events that pass the $\mu\mu$ preselection. Data events and $\tilde{t} \to b\ell$ signal events with a $\tilde{t}$ mass of 700 GeV and a proper decay length of 10 mm that correspond to 2018 data-taking conditions are shown. In each $|d_{0}|$-$|d_{0}|$ bin, the number of events divided by the bin area is plotted. The inclusive signal region covers the region between 100 $\mu$m and 10 cm in each $|d_{0}|$ variable shown.

The number of observed and estimated background events in each channel and SR, with a representative signal overlaid. For each background estimate and signal yield, the total uncertainty (statistical plus systematic) is given. The distributions shown correspond to the events before the final maximum likelihood fit to the data.

The number of observed and estimated background events in each channel and SR in 2016, with a representative signal overlaid. For each background estimate and signal yield, the total uncertainty is given. The distributions shown correspond to the events before the final maximum likelihood fit to the data.

The number of observed and estimated background events in each channel and SR in 2017 and 2018, with a representative signal overlaid. For each background estimate and signal yield, the total uncertainty is given. The distributions shown correspond to the events before the final maximum likelihood fit to the data.

The observed 95% CL upper limits on the long-lived top squark production cross section, in the $c\tau_0$ -- mass plane, for the three channels combined. The $\tilde{t} \to b\ell $ process is shown. These limits assume $\mathcal{B}(\tilde{t} \to b\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

The observed 95% CL upper limits on the long-lived top squark production cross section, in the $c\tau_0$ -- mass plane, for the three channels combined. The $\tilde{t} \to d\ell$ process is shown. These limits assume $\mathcal{B}(\tilde{t} \to d\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

The observed 95% CL upper limits on the long-lived top squark production cross section, in the $c\tau_0$ -- mass plane, for the three channels combined. The $\tilde{t} \to b\ell $ process is shown. These limits assume $\mathcal{B}(\tilde{t} \to b\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

The observed 95% CL upper limits on the long-lived top squark production cross section, in the $c\tau_0$ -- mass plane, for the three channels combined. The $\tilde{t} \to d\ell$ process is shown. These limits assume $\mathcal{B}(\tilde{t} \to d\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

The 95% CL upper limits on the long-lived top squark proper decay length ($c\tau_0$) as a function of its mass, for the e$\mu$, ee, and $\mu\mu$ channels, and their combination. The $\tilde{t} \to b\ell $ process is shown. These limits assume $\mathcal{B}(\tilde{t} \to b\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton.

The 95% CL upper limits on the long-lived top squark proper decay length ($c\tau_0$) as a function of its mass, for the e$\mu$, ee, and $\mu\mu$ channels, and their combination. The $\tilde{t} \to d\ell$ process is shown. These limits assume $\mathcal{B}(\tilde{t} \to d\ell)$ is 100%, and each lepton has an equal probability of being an electron, a muon, or a tau lepton.

The 95% CL constraints on the long-lived slepton $c\tau_{0}$ and mass. The $\tilde{\tau}$ and co-NLSP limits are shown for the three channels combined, while the $\tilde{e}$ and $\tilde{\mu}$ NLSP limits are shown for the ee and $\mu\mu$ channels, respectively. These limits assume that the superpartners of the left- and right-handed leptons are degenerate in mass and $\mathcal{B}(\tilde{\ell} \to \ell\tilde{G})$ is 100%. The area to the left of the solid curves represents the observed exclusion region, and the dashed lines indicate the expected limits.

The observed 95% CL upper limits on the long-lived slepton production cross section, in the $c\tau_0$ -- mass plane. The co-NLSP limits are shown for the three channels combined. These limits assume that the superpartners of the left- and right-handed leptons are degenerate in mass and $\mathcal{B}(\tilde{\ell} \to \ell\tilde{G})$ is 100%. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

The observed 95% CL upper limits on the long-lived slepton production cross section, in the $c\tau_0$ -- mass plane. The co-NLSP limits are shown for the three channels combined. These limits assume that the superpartners of the left- and right-handed leptons are degenerate in mass and $\mathcal{B}(\tilde{\ell} \to \ell\tilde{G})$ is 100%. The area to the left of the black curve represents the observed exclusion region, and the dashed red lines indicate the expected limits and their 68% confidence intervals.

The 95% CL upper limits on the $\mathrm{H} \to \mathrm{S}\mathrm{S}, \mathrm{S} \to \ell^{+}\ell^{-}$ branching fraction as a function of $c\tau_0$, for a Higgs boson with a mass of 125 GeV and a long-lived scalar with a mass of 30 GeV or 50 GeV, for the three channels combined. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curve represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S}, \mathrm{S} \to \ell^{+}\ell^{-}$ as a function of $c\tau_0$, for a 300 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S}, \mathrm{S} \to \ell^{+}\ell^{-}$ as a function of $c\tau_0$, for a 400 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S}, \mathrm{S} \to \ell^{+}\ell^{-}$ as a function of $c\tau_0$, for a 600 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S}, \mathrm{S} \to \ell^{+}\ell^{-}$ as a function of $c\tau_0$, for a 800 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S}, \mathrm{S} \to \ell^{+}\ell^{-}$ as a function of $c\tau_0$, for a 1000 GeV Higgs boson and several long-lived scalar masses, for the three channels combined. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons or two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the $\mathrm{H} \to \mathrm{S}\mathrm{S} \to 4\ell$ branching fraction as a function of $c\tau_0$, for a Higgs boson with a mass of 125 GeV and a long-lived scalar with a mass of 30 GeV or 50 GeV, for the ee channel only. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons. The area above the solid (dashed) curve represents the observed (expected) exclusion region. The curves are not smooth because very few ee channel events pass the preselection for the Higgs boson and scalar masses shown in this figure.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S} \to 4\ell$ as a function of $c\tau_0$, for a 600 GeV Higgs boson and several long-lived scalar masses, for the ee channel only. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S} \to 4\ell$ as a function of $c\tau_0$, for a 1000 GeV Higgs boson and several long-lived scalar masses, for the ee channel only. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two electrons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the $\mathrm{H} \to \mathrm{S}\mathrm{S} \to 4\ell$ branching fraction as a function of $c\tau_0$, for a Higgs boson with a mass of 125 GeV and a long-lived scalar with a mass of 30 GeV or 50 GeV, for the $\mu\mu$ channel only. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two muons. The area above the solid (dashed) curve represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S} \to 4\ell$ as a function of $c\tau_0$, for a 600 GeV Higgs boson and several long-lived scalar masses, for the $\mu\mu$ channel only. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.

The 95% CL upper limits on the product of the cross section and branching fraction $\mathrm{H} \to \mathrm{S}\mathrm{S} \to 4\ell$ as a function of $c\tau_0$, for a 1000 GeV Higgs boson and several long-lived scalar masses, for the $\mu\mu$ channel only. These limits assume that $\mathcal{B}(H \to SS)=100\%$ and each S has a 50% probability of decaying to two muons. The area above the solid (dashed) curves represents the observed (expected) exclusion region.