Best fit values of $\sigma(gg\to H\to ZZ)$, $\sigma_i/\sigma_{gg\mathrm{F}}$, and $\mathrm{B}^f/\mathrm{B}^{ZZ}$ relative to their SM prediction from the combined analysis of the $\sqrt{s}$=7 and 8 TeV data. The results are shown for the combination of ATLAS and CMS, and also separately for each experiment, together with their total uncertainties and their breakdown into the four components described in the text. The expected uncertainties in the measurements are also shown.

Best fit values of $\sigma(gg\to H\to WW)$, $\sigma_i/\sigma_{gg\mathrm{F}}$, and $\mathrm{B}^f/\mathrm{B}^{WW}$ from the combined analysis of the $\sqrt{s}$=7 and 8 TeV data. The values involving cross sections are given for $\sqrt{s}$=8 TeV, assuming the SM values for $\sigma_i(7 \mathrm{TeV})/\sigma_i(8 \mathrm{TeV})$. The results are shown for the combination of ATLAS and CMS, and also separately for each experiment, together with their total uncertainties and their breakdown into the four components described in the text. The expected uncertainties in the measurements are also shown.

Best fit values of $\sigma(gg\to H\to WW)$, $\sigma_i/\sigma_{gg\mathrm{F}}$, and $\mathrm{B}^f/\mathrm{B}^{WW}$ relative to their SM prediction from the combined analysis of the $\sqrt{s}$=7 and 8 TeV data. The results are shown for the combination of ATLAS and CMS, and also separately for each experiment, together with their total uncertainties and their breakdown into the four components described in the text. The expected uncertainties in the measurements are also shown.

Best fit values of $\kappa_{gZ}= \kappa_{g}\cdot\kappa_{Z} / \kappa_{H}$ and of the ratios of coupling modifiers, as defined in the most generic parameterisation described in the context of the $\kappa$ framework, from the combined analysis of the $\sqrt{s}$=7 and 8 TeV data. The results are shown for the combination of ATLAS and CMS and also separately for each experiment, together with their total uncertainties and their breakdown into the four components described in the text. The uncertainties in $\lambda_{tg}$ and $\lambda_{WZ}$, for which a negative solution is allowed, are calculated around the overall best fit value. The expected total uncertainties in the measurements are also shown. For those parameters with no sensitivity to the sign, only the absolute values are shown.

Measured global signal strength $\mu$ and its total uncertainty, together with the breakdown of the uncertainty into its four components as defined in the text. The results are shown for the combination of ATLAS and CMS, and separately for each experiment. The expected uncertainty, with its breakdown, is also shown.

Measured signal strengths $\mu$ and their total uncertainties for different Higgs boson production processes. The results are shown for the combination of ATLAS and CMS, and separately for each experiment, for the combined $\sqrt{s}$=7 and 8 TeV data. The expected uncertainties in the measurements are also displayed. These results are obtained assuming that the Higgs boson branching fractions are the same as in the SM.

Measured signal strengths $\mu$ and their total uncertainties for different Higgs boson decay channels. The results are shown for the combination of ATLAS and CMS, and separately for each experiment, for the combined $\sqrt{s}$=7 and 8 TeV data. The expected uncertainties in the measurements are also displayed. These results are obtained assuming that the Higgs boson production process cross sections at $\sqrt{s}$ = 7 and 8 TeV are the same as in the SM.

Results of the ten-parameter fit of $\mu_F^f = \mu_{gg\mathrm{F}+ttH}^f$ and $\mu_V^f = \mu_{\mathrm{VBF}+VH}^f$ for each of the five decay channels. The results are shown for the combination of ATLAS and CMS, together with their measured and expected uncertainties. The measured results are also shown separately for each experiment.

Results of the six-parameter fit of the global ratio $\mu_V/\mu_F = \mu_{\mathrm{VBF}+VH}/\mu_{gg\mathrm{F}+ttH}$ together with $\mu_F^f$ for each of the five decay channels. The results are shown for the combination of ATLAS and CMS, together with their measured and expected uncertainties. The measured results are also shown separately for each experiment.

Fit results allowing BSM loop couplings, assuming that $|\kappa_{V}| \le$ 1, where $\kappa_{V}$ denotes $\kappa_{Z}$ or $\kappa_{W}$, and that $\mathrm{B_{BSM}} \ge$ 0. The results for the combination of ATLAS and CMS are reported with their measured and expected uncertainties. Also shown are the results from each experiment. For the parameters with both signs allowed, the other 1$\sigma$ interval is shown on a second line. For those parameters with no sensitivity to the sign, only the absolute values are shown.

Fit results allowing BSM loop couplings, assuming that there are no additional BSM contributions to the Higgs boson width, i.e. $\mathrm{B_{BSM}}=0$. The results for the combination of ATLAS and CMS are reported with their measured and expected uncertainties. Also shown are the results from each experiment. For the parameters with both signs allowed, the other 1$\sigma$ interval is shown on a second line. When a parameter is constrained and reaches a boundary, namely $\mathrm{B_{BSM}}$ = 0, the uncertainty is not indicated. For those parameters with no sensitivity to the sign, only the absolute values are shown.

Fit results for the parameterisation assuming the absence of BSM particles in the loops ($\mathrm{B_{BSM}}$=0). The results with their measured and expected uncertainties are reported for the combination of ATLAS and CMS, together with the individual results from each experiment. For the parameters with both signs allowed, the other 1$\sigma$ CL interval is shown on a second line. When a parameter is constrained and reaches a boundary, namely $|\kappa_\mu|$ = 0, the uncertainty is not indicated. For those parameters with no sensitivity to the sign, only the absolute values are shown.

Summary of fit results for a parameterisation probing the ratios of coupling modifiers for up-type versus down-type fermions. The results for the combination of ATLAS and CMS are reported together with their measured and expected uncertainties. Also shown are the results from each experiment. The parameter $\kappa_{uu}$ is positive definite since $\kappa_H$ is always assumed to be positive. For the parameter $\lambda_{du}$, for which both signs are allowed, the other 1$\sigma$ CL interval is shown on a second line. Negative values for the parameter $\lambda_{Vu}$ are excluded by more than 4$\sigma$.

Summary of fit results for a parameterisation probing the ratios of coupling modifiers for leptons versus quarks. The results for the combination of ATLAS and CMS are reported together with their measured and expected uncertainties. Also shown are the results from each experiment. The parameter $\kappa_{qq}$ is positive definite since $\kappa_H$ is always assumed to be positive. For the parameter $\lambda_{lq}$, for which there is no sensitivity to the sign, only the absolute values are shown. Negative values for the parameter $\lambda_{Vq}$ are excluded by more than 4$\sigma$.

Correlation matrix obtained from the fit combining the ATLAS and CMS data using the generic parameterisation with 23 parameters, $\sigma_i\cdot\mathrm{B}^f$ for each specific channel $i\to H\to f$. Only 20 parameters are shown because the other three, corresponding to the $H\to ZZ$ decay channel for the $WH$, $ZH$, and $ttH$ production processes, are not measured with a meaningful precision.

Correlation matrix obtained from the fit combining the ATLAS and CMS data using the generic parameterisation with nine parameters, $\sigma(gg\to H\to ZZ)$, $\sigma_i/\sigma_{gg\mathrm{F}}$, and $\mathrm{B}^f/\mathrm{B}^{ZZ}$.

Correlation matrix obtained from the fit combining the ATLAS and CMS data using the generic parameterisation with seven parameters, $\kappa_{gZ}=\kappa_{g}\cdot\kappa_{Z} / \kappa_{H}$ and the ratios of coupling modifiers.

Expected correlation matrix obtained from the fit combining ATLAS and CMS pre-fit Asimov data sets using the generic parameterisation with 23 parameters, $\sigma_i\cdot\mathrm{B}^f$ for each specific channel $i\to H\to f$. Only 20 parameters are shown because the other three, corresponding to the $H\to ZZ$ decay channel for the $WH$, $ZH$, and $ttH$ production processes, are not measured with a meaningful precision.

Expected correlation matrix obtained from the fit combining ATLAS and CMS pre-fit Asimov data sets using the generic parameterisation with nine parameters, $\sigma(gg\to H\to ZZ)$, $\sigma_i/\sigma_{gg\mathrm{F}}$, and $\mathrm{B}^f/\mathrm{B}^{ZZ}$.

Expected correlation matrix obtained from the fit combining ATLAS and CMS pre-fit Asimov data sets using the generic parameterisation with seven parameters, $\kappa_{gZ}=\kappa_{g}\cdot\kappa_{Z} / \kappa_{H}$ and the ratios of coupling modifiers.

ATLAS+CMS combined best-fit and 68% and 95% CL negative log-likelihood contours in the ($\kappa_{g}$,$\kappa_{\gamma}$) plane.

ATLAS best-fit and 68% and 95% CL negative log-likelihood contours in the ($\kappa_{g}$,$\kappa_{\gamma}$) plane.

CMS best-fit and 68% and 95% CL negative log-likelihood contours in the ($\kappa_{g}$,$\kappa_{\gamma}$) plane.

Best-fit and 68% and 95% CL negative log-likelihood contours in the ($\kappa_{F}$,$\kappa_{V}$) plane.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow\gamma\gamma$ channel.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow ZZ$ channel.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow WW$ channel.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow\tau\tau$ channel.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow bb$ channel.

ATLAS best-fit and 68% and 95% CL negative log-likelihood contours in the ($\kappa_{F}$,$\kappa_{V}$) plane.

CMS best-fit and 68% and 95% CL negative log-likelihood contours in the ($\kappa_{F}$,$\kappa_{V}$) plane.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow\gamma\gamma$ channel, assuming $\kappa_{F}>0$.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow ZZ$ channel, assuming $\kappa_{F}>0$.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow WW$ channel, assuming $\kappa_{F}>0$.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow\tau\tau$ channel, assuming $\kappa_{F}>0$.

Best-fit and 68% CL negative log-likelihood contour in the ($\kappa_{F}$,$\kappa_{V}$) plane for the $H\rightarrow bb$ channel, assuming $\kappa_{F}>0$.

Best-fit and 68% and 95% CL negative log-likelihood contours in the ($\mu^{f}_{gg\mathrm{F}+ttH}$,$\mu^{f}_{\mathrm{VBF}+VH}$) plane for the $H\rightarrow\gamma\gamma$ channel.

Best-fit and 68% and 95% CL negative log-likelihood contours in the ($\mu^{f}_{gg\mathrm{F}+ttH}$,$\mu^{f}_{\mathrm{VBF}+VH}$) plane for the $H\rightarrow ZZ$ channel.

Best-fit and 68% and 95% CL negative log-likelihood contours in the ($\mu^{f}_{gg\mathrm{F}+ttH}$,$\mu^{f}_{\mathrm{VBF}+VH}$) plane for the $H\rightarrow WW$ channel.

Best-fit and 68% and 95% CL negative log-likelihood contours in the ($\mu^{f}_{gg\mathrm{F}+ttH}$,$\mu^{f}_{\mathrm{VBF}+VH}$) plane for the $H\rightarrow\tau\tau$ channel.

Best-fit and 68% and 95% CL negative log-likelihood contours in the ($\mu^{f}_{gg\mathrm{F}+ttH}$,$\mu^{f}_{\mathrm{VBF}+VH}$) plane for the $H\rightarrow bb$ channel.

95% CL limits on the Lagrangian approach (a.k.a. LEP parametrization) parameters in Wgamma events.

Fitted background prediction and observed data counts for 2018B as functions of $N_{\text{jets}}$ in each of the four $S_{\textrm{NN}}$ bins. The signal distributions normalized to the predicted cross section for the RPV model with $m_{\tilde{t}}$ = 450 GeV and the stealth SYY model with $m_{\tilde{t}}$ = 850 GeV are shown for comparison.

Expected and observed 95% CL upper limit on the top squark pair production cross section as a function of the top squark mass for the RPV SUSY models.

Expected and observed 95% CL upper limit on the top squark pair production cross section as a function of the top squark mass for the stealth SYY SUSY models.

Cut flow of the signal region selection decribed in section II.

Cut flow of the signal region selection decribed in section II.

Cut flow of the signal region selection decribed in section II.

Cut flow of the signal region selection decribed in section II.

The ratio between the observed data and the simulation in the high $\Delta$m portion of the $\ell+\text{jets}$ control region as a function of $p_T^{miss}$ after scaling the simulation to match the total yield in data.

Comparison between data and simulation in the high $\Delta$m portion of the $\ell+\text{jets}$ control region as a function of $N_t$ after scaling the simulation to match the total yield in data. The hatched region indicates the total shape uncertainty in the simulation.

The ratio between the observed data and the simulation in the high $\Delta$m portion of the $\ell+\text{jets}$ control region as a function of $N_t$ after scaling the simulation to match the total yield in data.

Comparison between data and simulation in the high $\Delta$m portion of the $\ell+\text{jets}$ control region as a function of $N_W$ after scaling the simulation to match the total yield in data. The hatched region indicates the total shape uncertainty in the simulation.

The ratio between the observed data and the simulation in the high $\Delta$m portion of the $\ell+\text{jets}$ control region as a function of $N_W$ after scaling the simulation to match the total yield in data.

Comparison between data and simulation in the high $\Delta$m portion of the $\ell+\text{jets}$ control region as a function of $N_{\text{res}}$ after scaling the simulation to match the total yield in data. The hatched region indicates the total shape uncertainty in the simulation.

The ratio between the observed data and the simulation in the high $\Delta$m portion of the $\ell+\text{jets}$ control region as a function of $N_{\text{res}}$ after scaling the simulation to match the total yield in data.

Observed event yields in data (black points) and predicted SM background (filled histograms) for the low $\Delta$m search bins 0--52. The signal models are denoted in the legend with the masses in GeV of the SUSY particles in parentheses: $(m_{\tilde{t}}, m_{\tilde{\chi}^0_1})$ or $(m_{\tilde{g}}, m_{\tilde{\chi}^0_1})$ for the T2 or T1 signal models, respectively. The hatched bands correspond to the total uncertainty in the background prediction. The (unstacked) distributions for two example signal models are also shown.

The ratio of the data to the total background prediction for the low $\Delta$m search bins 0--52. The hatched bands correspond to the total uncertainty in the background prediction.

Observed event yields in data (black points) and predicted SM background (filled histograms) for the high $\Delta$m search bins 53--104. The signal models are denoted in the legend with the masses in GeV of the SUSY particles in parentheses: $(m_{\tilde{t}}, m_{\tilde{\chi}^0_1})$ or $(m_{\tilde{g}}, m_{\tilde{\chi}^0_1})$ for the T2 or T1 signal models, respectively. The hatched bands correspond to the total uncertainty in the background prediction. The (unstacked) distributions for two example signal models are also shown.

The ratio of the data to the total background prediction for the high $\Delta$m search bins 53--104. The hatched bands correspond to the total uncertainty in the background prediction.

Observed event yields in data (black points) and predicted SM background (filled histograms) for the high $\Delta$m search bins 105--152 with ${N_b = 2}$. The signal models are denoted in the legend with the masses in GeV of the SUSY particles in parentheses: $(m_{\tilde{t}}, m_{\tilde{\chi}^0_1})$ or $(m_{\tilde{g}}, m_{\tilde{\chi}^0_1})$ for the T2 or T1 signal models, respectively. The hatched bands correspond to the total uncertainty in the background prediction. The (unstacked) distributions for two example signal models are also shown.

The ratio of the data to the total background prediction for the high $\Delta$m search bins 105--152 with ${N_b = 2}$. The hatched bands correspond to the total uncertainty in the background prediction.

Observed event yields in data (black points) and predicted SM background (filled histograms) for the high $\Delta$m search bins 153--182 with ${N_b \geq 3}$. The signal models are denoted in the legend with the masses in GeV of the SUSY particles in parentheses: $(m_{\tilde{t}}, m_{\tilde{\chi}^0_1})$ or $(m_{\tilde{g}}, m_{\tilde{\chi}^0_1})$ for the T2 or T1 signal models, respectively. The hatched bands correspond to the total uncertainty in the background prediction. The (unstacked) distributions for two example signal models are also shown.

The ratio of the data to the total background prediction for the high $\Delta$m search bins 153--182 with ${N_b \geq 3}$. The hatched bands correspond to the total uncertainty in the background prediction.

The observed 95% CL upper limit on the production cross section of the T2tt simplified model as a function of the top squark and LSP masses. No interpretation is provided for signal models for which ${|{m_{\tilde{t}} - m_{\tilde{\chi}^0_1} - m_t}| < 25 GeV}$ and ${m_{\tilde{t}} < 275 GeV}$ as described in the text.

The expected 95% CL upper limit on the production cross section of the T2tt simplified model as a function of the top squark and LSP masses. No interpretation is provided for signal models for which ${|{m_{\tilde{t}} - m_{\tilde{\chi}^0_1} - m_t}| < 25 GeV}$ and ${m_{\tilde{t}} < 275 GeV}$ as described in the text.

The observed exclusion contour of the T2tt simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$). No interpretation is provided for signal models for which ${|{m_{\tilde{t}} - m_{\tilde{\chi}^0_1} - m_t}| < 25 GeV}$ and ${m_{\tilde{t}} < 275 GeV}$ as described in the text.

The mean expected exclusion contour of the T2tt simplified model and the region containing 68 and 95\% ($\pm 1$ and $2\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis. No interpretation is provided for signal models for which ${|{m_{\tilde{t}} - m_{\tilde{\chi}^0_1} - m_t}| < 25 GeV}$ and ${m_{\tilde{t}} < 275 GeV}$ as described in the text.

The observed 95% CL upper limit on the production cross section of the T2bW simplified model as a function of the top squark and LSP masses.

The expected 95% CL upper limit on the production cross section of the T2bW simplified model as a function of the top squark and LSP masses.

The observed exclusion contour of the T2bW simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$).

The mean expected exclusion contour of the T2bW simplified model and the region containing 68 and 95\% ($\pm 1$ and $2\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis.

The observed 95% CL upper limit on the production cross section of the T2tb simplified model as a function of the top squark and LSP masses.

The expected 95% CL upper limit on the production cross section of the T2tb simplified model as a function of the top squark and LSP masses.

The observed exclusion contour of the T2tb simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$).

The mean expected exclusion contour of the T2tb simplified model and the region containing 68 and 95\% ($\pm 1$ and $2\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis.

The observed 95% CL upper limit on the production cross section of the T2ttC simplified model as a function of the top squark mass and the difference between the top squark and LSP masses.

The expected 95% CL upper limit on the production cross section of the T2ttC simplified model as a function of the top squark mass and the difference between the top squark and LSP masses.

The observed exclusion contour of the T2ttC simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$).

The mean expected exclusion contour of the T2ttC simplified model and the region containing 68\% ($\pm 1\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis.

The observed 95% CL upper limit on the production cross section of the T2bWC simplified model as a function of the top squark mass and the difference between the top squark and LSP masses.

The expected 95% CL upper limit on the production cross section of the T2bWC simplified model as a function of the top squark mass and the difference between the top squark and LSP masses.

The observed exclusion contour of the T2bWC simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$).

The mean expected exclusion contour of the T2bWC simplified model and the region containing 68\% ($\pm 1\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis.

The observed 95% CL upper limit on the production cross section of the T2cc simplified model as a function of the top squark mass and the difference between the top squark and LSP masses.

The expected 95% CL upper limit on the production cross section of the T2cc simplified model as a function of the top squark mass and the difference between the top squark and LSP masses.

The observed exclusion contour of the T2cc simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$).

The mean expected exclusion contour of the T2cc simplified model and the region containing 68\% ($\pm 1\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis.

The observed 95% CL upper limit on the production cross section of the T1tttt simplified model as a function of the gluino and LSP masses.

The expected 95% CL upper limit on the production cross section of the T1tttt simplified model as a function of the gluino and LSP masses.

The observed exclusion contour of the T1tttt simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$).

The mean expected exclusion contour of the T1tttt simplified model and the region containing 68 and 95\% ($\pm 1$ and $2\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis.

The observed 95% CL upper limit on the production cross section of the T1ttbb simplified model as a function of the gluino and LSP masses.

The expected 95% CL upper limit on the production cross section of the T1ttbb simplified model as a function of the gluino and LSP masses.

The observed exclusion contour of the T1ttbb simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$).

The mean expected exclusion contour of the T1ttbb simplified model and the region containing 68 and 95\% ($\pm 1$ and $2\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis.

The observed 95% CL upper limit on the production cross section of the T5ttcc simplified model as a function of the gluino and LSP masses. The upper limits do not take into account contributions from direct top squark pair production; however, its effect is small for $m_{\tilde{\chi}^0_1} > 600 GeV$, which corresponds to the phase space beyond the exclusions based on direct top squark pair production. The excluded regions based on direct top squark pair production from this search and earlier searches are indicated by the hatched areas.

The expected 95% CL upper limit on the production cross section of the T5ttcc simplified model as a function of the gluino and LSP masses. The uppser limits do not take into account contributions from direct top squark pair production; however, its effect is small for $m_{\tilde{\chi}^0_1} > 600 GeV$, which corresponds to the phase space beyond the exclusions based on direct top squark pair production. The excluded regions based on direct top squark pair production from this search and earlier searches are indicated by the hatched areas.

The observed exclusion contour of the T5ttcc simplified model with respect to approximate NNLO+NNLL signal cross sections and the change in this contour due to variation of these cross sections within their theoretical uncertainties ($\sigma_{\text{theory}}$). The expected and observed upper limits do not take into account contributions from direct top squark pair production; however, its effect is small for $m_{\tilde{\chi}^0_1} > 600 GeV$, which corresponds to the phase space beyond the exclusions based on direct top squark pair production. The excluded regions based on direct top squark pair production from this search and earlier searches are indicated by the hatched areas.

The mean expected exclusion contour of the T5ttcc simplified model and the region containing 68% and 95% ($\pm 1$ and $2\,\sigma_{\text{experiment}}$) of the distribution of expected exclusion limits under the background-only hypothesis. The expected and observed upper limits do not take into account contributions from direct top squark pair production; however, its effect is small for $m_{\tilde{\chi}^0_1} > 600 GeV$, which corresponds to the phase space beyond the exclusions based on direct top squark pair production. The excluded regions based on direct top squark pair production from this search and earlier searches are indicated by the hatched areas.

The invariant mass spectra of dimuon events. The points with error bars represent the observed yield. The histogram represents the expectations from the SM processes. The bins have equal width in logarithmic scale so that the width in GeV becomes larger with increasing mass.

The invariant mass distribution of pairs of electrons observed in data and expected from simulated SM processes for $\cos\theta^* < 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of electrons observed in data and expected from simulated SM processes for $\cos\theta^* /geq 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of muons observed in data and expected from simulated SM processes for $\cos\theta^* < 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

The invariant mass distribution of pairs of muons observed in data and expected from simulated SM processes for $\cos\theta^* /geq 0$. The bin width gradually increases with mass. The quoted uncertainty represents the combined statistical and systematic uncertainties on the background. The signal contribution expected from the constructive LL CI model with $\Lambda = 16$ TeV is shown as a dashed green line.

Observed and expected background yields for different mass ranges in the dielectron channel. The sum of all background contributions is shown as well as a breakdown into the three main categories. The quoted uncertainty includes both the statistical and the systematic components.

Observed and expected background yields for different mass ranges in the dimuon channel. The sum of all background contributions is shown as well as a breakdown into the three main categories. The quoted uncertainty includes both the statistical and the systematic components.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits together with the 68 and 95% quantiles at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance, for widths equal to 0.6, 3, 5, and 10% of the resonance mass, relative to the product of production cross section and branching fraction for a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits at 95% CL on the product of production cross section and branching fraction for a spin-1 resonance, for widths equal to 0.6, 3, 5, and 10% of the resonance mass, relative to the product of production cross section and branching fraction for a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the GSM model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the LR model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

Limits in the ( $c_{d}$ , $c_{u}$ ) plane obtained by recasting the combined limit at 95% CL on the $Z'$ boson cross section from dielectron and dimuon channels. The closed contour representing the E6 model class is composed of thick line segments. Each point on a segment corresponds to a particular model, and the location of the point gives the mass limit on the relevant $Z'$ boson. As indicated in the bottom left legend, the segment line styles correspond to ranges of the particular mixing angle for each considered model. The bottom right legend indicates the constituents of each model class.

The observed local p-value for the dielectron channel as a function of the dilepton invariant mass.

The observed local p-value for the dimuon channel as a function of the dilepton invariant mass.

The observed local p-value for the combined channel as a function of the dilepton invariant mass.

The observed upper limits at 95% CL on the product of production cross section and branching fraction for a spin-2 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

The expected upper limits together with the 68 and 95% quantiles at 95% CL on the product of production cross section and branching fraction for a spin-2 resonance with a width equal to 0.6% of the resonance mass, relative to the product of production cross section and branching fraction of a Z boson, multiplied by the theoretical value of the cross section for $\sigma(pp \to \mathrm{Z}+X \to\ell\ell+X)$ of 1928 pb.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a vector mediator. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a vector mediator. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a axial vector. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Limits at 95% confidence level for the masses of the DM particle, which is assumed to be Dirac fermion, and its associated mediator, in a simplified model of DM production via a axial vector. The parameter exclusion is obtained by comparing the limits on product of the production cross section and the branching fraction for decay to a Z boson, with the values obtained from calculations in the simplified model. For each combination of the DM particle and mediator mass values, the width of the mediator is taken into account in the limit calculation. The lines with the hatching represents the excluded regions. The solid grey lines, marked as “Ωh 2 ≥ 0.12”, correspond to parameter regions that reproduce the observed DM relic density in the universe, with the hatched area indicating the region where the DM relic abundance exceeds the observed value.

Exclusion limits at 95% CL on the ultraviolet cutoff for the dielectron channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Exclusion limits at 95% CL on the ultraviolet cutoff for the dimuon channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Exclusion limits at 95% CL on the ultraviolet cutoff for the combination of the dielectron and dimuon channel, with $m_{\ell\ell}>1.8$ TeV ($m_{\ell\ell}>1.9$ TeV for 2016) in the GRW, Hewett, and HLZ conventions for the ADD model. Signal model cross sections are calculated up to LO, and an NNLO correction factor of 1.3 is applied.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the dielectron channel. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the dimuon channel. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Dilepton lower exclusion limits at 95% CL on the CI scale ($\Lambda$) for the eight CI models considered, for the combination of the dielectron and dimuon channels. The limits are obtained for $m_{\ell\ell}>400$ GeV.

Ratio of the differential dilepton production cross section in the dimuon and dielectron channels $R_{\mu^{+}\mu^{-}/e^{+}e^{-}}$, as a function of $m_{\ell\ell}$ for events with central leptons. The ratio is obtained after correcting the reconstructed mass spectra to particle level.

Ratio of the differential dilepton production cross section in the dimuon and dielectron channels $R_{\mu^{+}\mu^{-}/e^{+}e^{-}}$, as a function of $m_{\ell\ell}$ for events with forward leptons. The ratio is obtained after correcting the reconstructed mass spectra to particle level.

Invariant mass resolution for dielectron pairs as obtained from simulated DY samples as a function of generated mass.

Invariant mass resolution for dimuon pairs as obtained from simulated DY samples as a function of generated mass.

Observed data and total background estimate in all bins used in the limit calculation for the CI limits. The total event sample is split into the three years of data taking, the two lepton flavors, two categories in $\cos\theta^*$, and two categories in lepton pseudorapidity. Furthermore, each of these categories is split into 6 bins in dilepton invariant mass: [400,500,700,1100,1900,3500,10000] in GeV. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Observed data and total background estimate in all bins used in the limit calculation for the ADD limits. The total event sample is split into the three years of data taking, the two lepton flavors, two categories in $\cos\theta^*$, and two categories in lepton pseudorapidity. Furthermore, each of these categories is split into 5 bins in dilepton invariant mass: [1800,2200,2600,3000,3400,10000] ([1900,2200,2600,3000,3400,10000] for 2016) in GeV. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Bin-by-bin correlation for the limit calculation for the CI limits. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Bin-by-bin correlation for the limit calculation for the ADD limits. The bin names indicate the $\cos\theta^*$ bin (cspos for positive values and csneg for negative values), the lepton flavor (dielectron or dimuon), the year of data taking (2016, 2017, 2018) with associated integrated luminosities of 35.9, 41.5, and 59.4 $\mathrm{fb}^{-1}$ (36.3, 42.1, 61.3 $\mathrm{fb}^{-1}$ in the dimuon channel), respectively. The lepton $|\eta|$ categories are labelled as BB (both leptons with $|\eta| < 1.442$ for electrons and $|\eta| < 1.2$ for muons) and BE (One electron with $|\eta| < 1.442$ and one with $|\eta| > 1.562$ or for muons at least one with $|\eta| > 1.2$). The mass bins are numbered in ascending order.

Higgs fiducial cross section in bins of rapidity for the 4 leptons. The first uncertainty is statistical, the second is systematic uncertainties. The numbers in this HEP data entry are not divided by the bin width, and therefore the units are in fb.

Higgs fiducial cross section in bins of Jet Multiplicity The first uncertainty is statistical, the second is systematic uncertainty.

Higgs fiducial cross section in bins of pT of leading jet. The first uncertainty is statistical, the second is the systematic uncertainty. The numbers in this HEP data entry are not divided by the bin width, and therefore the units are in fb. The 0-jet bin is also included here, which is not shown in the Figure.

Results of likelihood scans for the signal strength modifiers corresponding to the five main SM H boson production mechanisms. The uncertainties, corresponding to one standard deviation confidence intervals, include both statistical and systematic sources. The additional breakdown of the uncertainties into their separate statistical and systematic contributions is also shown.

Result of the 2D likelihood scan for the bosonic and fermionic signal strength modifiers. Contour for the 68% CL region.

Result of the 2D likelihood scan for the bosonic and fermionic signal strength modifiers. Contour for the 95% CL region.

The measured product of cross section times branching fraction for HZZ decay and the SM predictions for the Stage 0 STXS production bins and the inclusive measurement at mH= 125.38 GeV.

The measured product of cross section times branching fraction for HZZ decay and the SM predictions for the merged Stage 1.2 STXS production bins at mH= 125.38 GeV.

Observed correlation matrix between the measured cross sections for the Stage 0 for HZZ decay.

Observed correlation matrix between the measured cross sections for the Stage 1.2 for HZZ decay.

Results of the maximal merging scheme STXS fit. The best fit cross sections are shown together with the respective 68% C.L. intervals. The uncertainty is decomposed into the systematic and statistical components. The expected uncertainties on the fitted parameters are given in brackets. Also listed are the SM predictions for the cross sections and the theoretical uncertainty in those predictions.

Observed and expected correlations between the parameters in the STXS stage 1.2 maximal merging fit.

Results of the minimal merging scheme STXS fit. The best fit cross sections are shown together with the respective 68% C.L. intervals. The uncertainty is decomposed into the systematic and statistical components. The expected uncertainties on the fitted parameters are given in brackets. Also listed are the SM predictions for the cross sections and the theoretical uncertainty in those predictions.

Observed and expected correlations between the parameters in the STXS stage 1.2 minimal merging fit.

Observed likelihood surface.

Expected likelihood surface.

Observed likelihood surface.

Expected likelihood surface.

Results of the STXS stage 0 fit. The best fit cross sections are shown together with the respective 68% C.L. intervals. The uncertainty is decomposed into the systematic and statistical components. The expected uncertainties on the fitted parameters are given in brackets. Also listed are the SM predictions for the cross sections and the theoretical uncertainty in those predictions.

Observed and expected correlations between the parameters in the STXS stage 0 fit.

Observed likelihood surface.

Expected likelihood surface.

Observed likelihood surface.

Expected likelihood surface.

The product of acceptance and selection efficiency within the fiducial region for the VBF $\mathrm{H}^{\pm\pm}\rightarrow\mathrm{W}^{\pm}\mathrm{W}^{\pm}\rightarrow 2\ell 2v$ and $\mathrm{H}^{\pm}\rightarrow\mathrm{W}^{\pm}\mathrm{Z}\rightarrow 3\ell v$ processes, as a function of $m_{\mathrm{H}_{5}}$. The combination of the statistical and systematic uncertainties is shown. The theoretical uncertainties in the acceptance are also included.

Expected and observed exclusion limits at 95\% confidence level for $\sigma_\mathrm{VBF}(\mathrm{H}^{\pm\pm}) \mathcal{B}(\mathrm{H}^{\pm\pm} \rightarrow \mathrm{W}^{\pm}\mathrm{W}^{\pm})$ as functions of $m_{\mathrm{H}^{\pm\pm}}$. The contribution of the $\mathrm{H}^{\pm}$ boson signal is set to zero for the derivation of the exclusion limits on the $\sigma_\mathrm{VBF}(\mathrm{H}^{\pm\pm}) \mathcal{B}(\mathrm{H}^{\pm\pm} \rightarrow \mathrm{W}^{\pm}\mathrm{W}^{\pm})$. Values above the curves are excluded.

Expected and observed exclusion limits at 95\% confidence level for $\sigma_\mathrm{VBF}(\mathrm{H}^{\pm}) \mathcal{B}(\mathrm{H}^{\pm} \rightarrow \mathrm{W}^{\pm}\mathrm{Z})$ as functions of $m_{\mathrm{H}^{\pm}}$. The contribution of the $\mathrm{H}^{\pm\pm}$ boson signal is set to zero for the derivation of the exclusion limits on the $\sigma_\mathrm{VBF}(\mathrm{H}^{\pm}) \mathcal{B}(\mathrm{H}^{\pm} \rightarrow \mathrm{W}^{\pm}\mathrm{Z})$. Values above the curves are excluded.

Expected and observed exclusion limits at 95\% confidence level for $s_{\mathrm{H}}$ as functions of $m_{\mathrm{H}_{5}}$ in the Georgi-Machacek model. Values above the curves are excluded. The exclusion limits for $s_{\mathrm{H}}$ are shown up to $m_{\mathrm{H}_{5}}=2000$ GeV, given the low sensitivity in the Georgi-Machacek model for values above that mass.

Covariance matrix for all the bins used in Figure 4. The covariance matrix from the background-only fit is shown.

The reconstructed m$_{tb}$ distributions in data and expected background in validation region for the data taking period of 2017. Yield in each bin is divided by the corresponding bin width.

The reconstructed m$_{tb}$ distributions in data and expected background in signal region for the data taking period of 2018. Yield in each bin is divided by the corresponding bin width.

The reconstructed m$_{tb}$ distributions in data and expected background in validation region for the data taking period of 2018. Yield in each bin is divided by the corresponding bin width.

Upper limits at 95% CL on the cross section for the production of right-handed W' boson using data and backgrounds in three years combined. Theory prediction is also shown.

Upper limits at 95% CL on the cross section for the production of left-handed W' boson using data and backgrounds in three years combined. Theory prediction is also shown.