Data from paper Table 4. Observed and expected exclusion limits for the aQGC parameters at 95% CL, without any form factors.

Data from paper Fig.4. Observed four lepton invariant mass distribution. The last bin includes overflow.

$pp \rightarrow J/\psi J/\psi J/\psi X~$ fiducial cross section

Bin-to-bin correlation in the measured cross section as a function of the rapidity absolute value of the first jet, $|y(\text{j}_1)|$.

Measured cross section as a function of the transverse momenum of the first jet, $p_{\text{T}}(\text{j}_1)$, and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the transverse momenum of the first jet, $p_{\text{T}}(\text{j}_1)$.

Measured cross section as a function of the rapidity absolute value of the second jet, $|y(\text{j}_2)|$, and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the rapidity absolute value of the second jet, $|y(\text{j}_2)|$.

Measured cross section as a function of the transverse momenum of the second jet, $p_{\text{T}}(\text{j}_2)$, and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the transverse momenum of the second jet, $p_{\text{T}}(\text{j}_2)$.

Measured cross section as a function of the rapidity absolute value of the third jet, $|y(\text{j}_3)|$, and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the rapidity absolute value of the third jet, $|y(\text{j}_3)|$.

Measured cross section as a function of the transverse momenum of the third jet, $p_{\text{T}}(\text{j}_3)$, and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the transverse momenum of the third jet, $p_{\text{T}}(\text{j}_3)$.

Measured cross section as a function of the $H_{\text{T}}$ observable for events with at least one jet and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the $H_{\text{T}}$ observable for events with at least one jet.

Measured cross section as a function of the $H_{\text{T}}$ observable for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the $H_{\text{T}}$ observable for events with at least two jets.

Measured cross section as a function of the $H_{\text{T}}$ observable for events with at least three jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the $H_{\text{T}}$ observable for events with at least three jets.

Measured differential cross section as a function of dijet mass, $M_{\text{j}_1\text{j}_2}$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of dijet mass, $M_{\text{j}_1\text{j}_2}$, for events with at least two jets.

Measured differential cross section as a function of Z boson rapidity absolute value, $|y(\text{Z})|$ for events with at least one jet and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of Z boson rapidity absolute value, $|y(\text{Z})|$ for events with at least one jet.

Measured differential cross section as a function of the leading and subleading jet rapidity difference, $y_{\text{diff}}(\text{j}_1,\text{j}_2)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the leading and subleading jet rapidity difference, $y_{\text{diff}}(\text{j}_1,\text{j}_2)$, for events with at least two jets.

Measured differential cross section as a function of the leading and subleading jet rapidity sum, $y_{\text{sum}}(\text{j}_1,\text{j}_2)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the leading and subleading jet rapidity sum, $y_{\text{sum}}(\text{j}_1,\text{j}_2)$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and leading jet rapidity difference, $y_{\text{diff}}(\text{Z},\text{j}_1)$, for events with at least one jet and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and leading jet rapidity difference, $y_{\text{diff}}(\text{Z},\text{j}_1)$, for events with at least one jet.

Measured differential cross section as a function of the Z boson and leading jet rapidity sum, $y_{\text{sum}}(\text{Z},\text{j}_1)$, for events with at least one jet and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and leading jet rapidity sum, $y_{\text{sum}}(\text{Z},\text{j}_1)$, for events with at least one jet.

Measured differential cross section as a function of the Z boson and leading jet rapidity difference, $y_{\text{diff}}(\text{Z},\text{j}_1)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and leading jet rapidity difference, $y_{\text{diff}}(\text{Z},\text{j}_1)$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and leading jet rapidity sum, $y_{\text{sum}}(\text{Z},\text{j}_1)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and leading jet rapidity sum, $y_{\text{sum}}(\text{Z},\text{j}_1)$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and subleading jet rapidity difference, $y_{\text{diff}}(\text{Z},\text{j}_2)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and subleading jet rapidity difference, $y_{\text{diff}}(\text{Z},\text{j}_2)$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and subleading jet rapidity sum, $y_{\text{sum}}(\text{Z},\text{j}_2)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and subleading jet rapidity sum, $y_{\text{sum}}(\text{Z},\text{j}_2)$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and dijet rapidity difference, $y_{\text{diff}}(\text{Z},\text{dijet})$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and dijet rapidity difference, $y_{\text{diff}}(\text{Z},\text{dijet})$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and dijet rapidity sum, $y_{\text{sum}}(\text{Z},\text{dijet})$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and dijet rapidity sum, $y_{\text{sum}}(\text{Z},\text{dijet})$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and leading jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_1)$, for events with at least one jet and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and leading jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_1)$, for events with at least one jet.

Measured differential cross section as a function of the Z boson and leading jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_1)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and leading jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_1)$, for events with at least two jets.

Measured differential cross section as a function of the Z boson and leading jet azimuthal difference for events, $\Delta\phi(\text{Z},\text{j}_1)$, with at least three jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and leading jet azimuthal difference for events, $\Delta\phi(\text{Z},\text{j}_1)$, with at least three jets.

Measured differential cross section as a function of the Z boson and subleading jet azimuthal difference for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and subleading jet azimuthal difference for events with at least two jets.

Measured differential cross section as a function of the Z boson and subleading jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_2)$, for events with at least three jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and subleading jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_2)$, for events with at least three jets.

Measured differential cross section as a function of the Z boson and third jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_3)$, for events with at least three jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the Z boson and third jet azimuthal difference, $\Delta\phi(\text{Z},\text{j}_3)$, for events with at least three jets.

Measured differential cross section as a function of the leading and subleading jet azimuthal difference, $\Delta\phi(\text{j}_1,\text{j}_2)$, for events with at least two jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the leading and subleading jet azimuthal difference, $\Delta\phi(\text{j}_1,\text{j}_2)$, for events with at least two jets.

Measured differential cross section as a function of the leading and subleading jet azimuthal difference, $\Delta\phi(\text{j}_1,\text{j}_2)$, for events with at least three jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the leading and subleading jet azimuthal difference, $\Delta\phi(\text{j}_1,\text{j}_2)$, for events with at least three jets.

Measured differential cross section as a function of the leading and third jet azimuthal difference, $\Delta\phi(\text{j}_1,\text{j}_3)$, for events with at least three jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the leading and third jet azimuthal difference, $\Delta\phi(\text{j}_1,\text{j}_3)$, for events with at least three jets.

Measured differential cross section as a function of the subleading and third jet azimuthal difference, $\Delta\phi(\text{j}_2,\text{j}_3)$, for events with at least three jets and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured differential cross section as a function of the subleading and third jet azimuthal difference, $\Delta\phi(\text{j}_2,\text{j}_3)$, for events with at least three jets.

Measured cross section as a function of the leading jet transverse momentum, $p_{\text{T}}(\text{j}_1)$, and rapidity absolute value, $|y(\text{j}_1)|$ for events with at least one jet and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the leading jet transverse momentum, $p_{\text{T}}(\text{j}_1)$, and rapidity absolute value, $|y(\text{j}_1)|$ for events with at least one jet.

Measured cross section as a function of the leading jet and Z boson rapidity abosolute values, $|y(\text{j}_1|$ and $|y(\text(Z))|$, for events with at least one jet with $p_\text{T}>20\,\text{Gev}$ and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the leading jet and Z boson rapidity abosolute values, $|y(\text{j}_1|$ and $|y(\text(Z))|$, for events with at least one jet with $p_\text{T}>20\,\text{Gev}$.

Measured cross section as a function of the transverse momementum, $p_{\text{T}}(\text{Z})$, and rapidity, $y(\text{Z})$, of the Z boson, for events with at least one jet with $p_\text{T}>20\,\text{Gev}$ and breakdown of the relative uncertainty.

Bin-to-bin correlation in the measured cross section as a function of the transverse momementum, $p_{\text{T}}(\text{Z})$, and rapidity, $y(\text{Z})$, of the Z boson, for events with at least one jet with $p_\text{T}>20\,\text{Gev}$.

Experimental uncertainties affecting transfer factors in the analysis that is used to estimate the W background in the signal region (SR). The number of W boson events are denoted as $W_{SR}$ for the SR and in analogy as $W_{\mu\nu}$ ($W_{e\nu}$) for the single-muon (single-electron) control region (CR).

Uncertainties assigned to the simulation based processes in SR and CRs.

Uncertainties assigned to the simulation based processes in SR and CRs.

Cross sections (fb) at large Z $p_{T}$ values in the Z -> $\ell\ell$ and Z -> $\nu\nu$ channels, and their combination. The theoretical predictions from Madgraph at NLO in QCD and corrected to NLO in electroweak using the NNPDF 3.0 are also reported. With the exception of the largest Z $p_{T}$ bin, the statistical uncertainties in the measurements are much smaller than the systematic uncertainties. Both measurements and predictions correspond to $\sigma \mathcal{B}(Z -> \ell\ell)$, where $\sigma$ is the total fiducial cross section, $\mathcal{B}$ is the branching fraction, and $\ell$ is a charged lepton. The $Z -> \nu\nu$ measurement corresponds to $\sigma \mathcal{B}(Z -> \ell\ell)/\mathcal{B}(Z -> \nu\nu)$.

Cross sections (fb) at large Z $p_{T}$ values in the Z -> $\ell\ell$ and Z -> $\nu\nu$ channels, and their combination. The theoretical predictions from Madgraph at NLO in QCD and corrected to NLO in electroweak using the NNPDF 3.0 are also reported. With the exception of the largest Z $p_{T}$ bin, the statistical uncertainties in the measurements are much smaller than the systematic uncertainties. Both measurements and predictions correspond to $\sigma \mathcal{B}(Z -> \ell\ell)$, where $\sigma$ is the total fiducial cross section, $\mathcal{B}$ is the branching fraction, and $\ell$ is a charged lepton. The $Z -> \nu\nu$ measurement corresponds to $\sigma \mathcal{B}(Z -> \ell\ell)/\mathcal{B}(Z -> \nu\nu)$.

Cross sections normalized to the total cross section measurements at high Z $p_{T}$ values in the Z -> $\ell\ell$ and Z -> $\nu\nu$ channels, and in their combination. The uncertainty includes both statistical and systematic uncertainties.

Cross sections normalized to the total cross section measurements at high Z $p_{T}$ values in the Z -> $\ell\ell$ and Z -> $\nu\nu$ channels, and in their combination. The uncertainty includes both statistical and systematic uncertainties.

The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of Z $p_{T}$ on charged leptons.

The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of Z $p_{T}$ on charged leptons.

The relative statistical and systematic uncertainties from various sources for the relative cross section measurements in bins of Z $p_{T}$ on charged leptons.

The relative statistical and systematic uncertainties from various sources for the relative cross section measurements in bins of Z $p_{T}$ on charged leptons.

The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of Z $p_{T}$ on neutrinos.

The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of Z $p_{T}$ on neutrinos.

The relative statistical and systematic uncertainties from various sources for the relative cross section measurements in bins of Z $p_{T}$ on neutrinos.

The relative statistical and systematic uncertainties from various sources for the relative cross section measurements in bins of Z $p_{T}$ on neutrinos.

The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of Z $p_{T}$ on neutrinos and charged leptons.

The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of Z $p_{T}$ on neutrinos and charged leptons.

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

The measured single-differential cross sections in leading jet transverse momenta for the pure electroweak Z$\gamma$jj production. The total uncertainty includes the stastical uncertianty and the systematic uncertainty, while the uncertainty of the predicted results is the theoretical uncertainty from the MadGraph5_aMC@NLO. The last bin includes overflow events.

The measured single-differential cross sections in leading lepton transverse momenta for the pure electroweak Z$\gamma$jj production. The total uncertainty includes the stastical uncertianty and the systematic uncertainty, while the uncertainty of the predicted results is the theoretical uncertainty from the MadGraph5_aMC@NLO. The last bin includes overflow events.

The measured double-differential cross sections as functions of $m_{\mathrm{jj}}$ and $|\Delta\eta_{\mathrm{jj}}|$ for the pure electroweak Z$\gamma$jj production. The total uncertainty includes the stastical uncertianty and the systematic uncertainty, while the uncertainty of the predicted results is the theoretical uncertainty from the MadGraph5_aMC@NLO. The last bin includes overflow events.

The measured single-differential cross sections in photon transverse momenta for the combined QCD-induced and electroweak Z$\gamma$jj production. The total uncertainty includes the stastical uncertianty and the systematic uncertainty, while the uncertainty of the predicted results is the theoretical uncertainty from the MadGraph5_aMC@NLO. The last bin includes overflow events.

The measured single-differential cross sections in leading jet transverse momenta for the combined QCD-induced and electroweak Z$\gamma$jj production. The total uncertainty includes the stastical uncertianty and the systematic uncertainty, while the uncertainty of the predicted results is the theoretical uncertainty from the MadGraph5_aMC@NLO. The last bin includes overflow events.

The measured single-differential cross sections in leading lepton transverse momenta for the combined QCD-induced and electroweak Z$\gamma$jj production. The total uncertainty includes the stastical uncertianty and the systematic uncertainty, while the uncertainty of the predicted results is the theoretical uncertainty from the MadGraph5_aMC@NLO. The last bin includes overflow events.

The measured double-differential cross sections as functions of $m_{\mathrm{jj}}$ and $|\Delta\eta_{\mathrm{jj}}|$ for the combined QCD-induced and electroweak Z$\gamma$jj production. The total uncertainty includes the stastical uncertianty and the systematic uncertainty, while the uncertainty of the predicted results is the theoretical uncertainty from the MadGraph5_aMC@NLO. The last bin includes overflow events.

The expected and observed limits on the aQGC parameters at 95% confidence level. The last column presents the scattering energy values for which the amplitude would violate unitarity for the observed value of the aQGC parameter. All coupling parameter limits are set in TeV$^{-4}$, whereas the unitarity bounds are in TeV.

The correlation matrix for the njet measurement. The last bin is inclusive.

The fiducial integrated signal strength and cross section The uncertainty breakdown is given in terms of statistical (stat), experimental (exp), theoretical uncertainties on the background (bkg) and on the signal (sig), and the luminosity uncertainty (lumi). The fiducial cross section and its full uncertainty in each bin are also given.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $3\ell$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate signal quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $4\ell$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate signal quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $4\ell$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate signal quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $3\ell+1τ_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $3\ell+1 au_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $2\ell+2τ_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $2\ell+2 au_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $1\ell+3τ_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $1\ell+3 au_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $4τ_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Distribution in the output of the BDT trained for nonresonant HH production and evaluated for the benchmark scenario JHEP04 BM7 for the $4 au_{h}$ category. The SM HH signal is shown for a cross section amounting to $30$ times the value predicted in the SM. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate background quantiles.

Observed and expected $95\%$ CL upper limits on the SM HH production cross section, obtained for both individual search categories and from a simultaneous fit of all seven categories combined.

Observed and expected $95\%$ CL upper limits on the SM HH production cross section, obtained for both individual search categories and from a simultaneous fit of all seven categories combined.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the Higgs boson self-coupling strength modifier $\kappa_\lambda$ for the combination of all seven categories. All Higgs boson couplings other than $\lambda$ are assumed to have the values predicted in the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the Higgs boson self-coupling strength modifier $\kappa_\lambda$ for the combination of all seven categories. All Higgs boson couplings other than $\lambda$ are assumed to have the values predicted in the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the Higgs boson self-coupling strength modifier $\kappa_\lambda$ for the seven different categories as well as their combination. All Higgs boson couplings other than $\lambda$ are assumed to have the values predicted in the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the Higgs boson self-coupling strength modifier $\kappa_\lambda$ for the seven different categories as well as their combination. All Higgs boson couplings other than $\lambda$ are assumed to have the values predicted in the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section for the twelve benchmark scenarios from doi:10.1007/JHEP04(2016)126, the additional benchmark scenario 8a from doi:10.1007/JHEP09(2018)057, the seven benchmark scenarios from doi:10.1007/JHEP03(2020)091, and for the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section for the twelve benchmark scenarios from doi:10.1007/JHEP04(2016)126, the additional benchmark scenario 8a from doi:10.1007/JHEP09(2018)057, the seven benchmark scenarios from doi:10.1007/JHEP03(2020)091, and for the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section for the twelve benchmark scenarios from doi:10.1007/JHEP04(2016)126, the additional benchmark scenario 8a from doi:10.1007/JHEP09(2018)057, the seven benchmark scenarios from doi:10.1007/JHEP03(2020)091, and for the SM. The limits are shown for all seven search categories as well as their combination.

Observed and expected $95\%$ CL upper limits on the HH production cross section for the twelve benchmark scenarios from doi:10.1007/JHEP04(2016)126, the additional benchmark scenario 8a from doi:10.1007/JHEP09(2018)057, the seven benchmark scenarios from doi:10.1007/JHEP03(2020)091, and for the SM. The limits are shown for all seven search categories as well as for their combination.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the effective coupling $c_{2}$ for the combination of all seven categories. All Higgs boson couplings other than $c_{2}$ are assumed to have the values predicted in the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the effective coupling $c_{2}$ for the combination of all seven categories. All Higgs boson couplings other than $c_{2}$ are assumed to have the values predicted in the SM.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the effective coupling $c_{2}$ and the Higgs Yukawa coupling $\kappa_{t}$ for the combination of all seven categories. All Higgs boson couplings other than $c_{2}/\kappa_{t}$ are assumed to have the values predicted in the SM. The position of the SM in the ($c_{2}-\kappa_{t}$) plane, as well as the best fit value of $(c_{2},\kappa_{t})=(1.0529, 1.7418)$ together with contoyrs for the theory cross section are shown as well.

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the effective coupling $c_{2}$ and the top Yukawa coupling modifier $\kappa_{t}$ for the combination of all seven categories. All Higgs boson couplings other than $c_{2}$ and $\kappa_{t}$ are assumed to have the values predicted in the SM. The position of the SM in the ($c_{2}-\kappa_{t}$) plane, as well as the best fit value of $(c_{2},\kappa_{t})=(1.05, 1.74)$ together with contours for the theory cross section are shown as well.

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $0$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs.}

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the Higgs boson self-coupling modifier $\kappa_{\lambda}$ and the top Yukawa coupling modifier $\kappa_{t}$ for the combination of all seven categories. All Higgs boson couplings other than $\kappa_{\lambda}$ and $\kappa_{t}$ are assumed to have the values predicted in the SM. The position of the SM in the ($\kappa_{\lambda}-\kappa_{t}$) plane, as well as the best fit value of $(\kappa_{\lambda},\kappa_{t})=(-3.54, -1.70)$ together with contours for the theory cross section are shown as well.

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $0$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs. The Limit is shown for the seven different search categories as well as their combination.}

Observed and expected $95\%$ CL upper limits on the HH production cross section as a function of the effective coupling $c_{2}$ and the Higgs boson self-coupling modifier $\kappa_{\lambda}$ for the combination of all seven categories. All Higgs boson couplings other than $c_{2}$ and $\kappa_{\lambda}$ are assumed to have the values predicted in the SM. The position of the SM in the ($c_{2}-\kappa_{\lambda}$) plane, as well as the best fit value of $(c_{2},\kappa_{\lambda})=(-0.66, 5.33)$ together with contours for the theory cross section are shown as well.

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $2$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs.}

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $0$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs.

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $2$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs. The Limit is shown for the seven different search categories as well as their combination.}

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $0$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs. The Limit is shown for the seven different search categories as well as their combination.

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $2$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs.

Distribution in the output of the BDT trained for resonances of spin 2 and mass $750\,$GeV production for the $2\ell$(ss) category. The resonant HH signal is shown for a cross section amounting to $1$pb. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate signal quantiles.

Observed and expected $95\%$ CL upper limits on the production of new particles X of spin $2$ and mass $m_{X}$ in the range $250$-$1000$ GeV, which decay to Higgs boson pairs. The Limit is shown for the seven different search categories as well as their combination.

Distribution in the output of the BDT trained for resonances of spin 2 and mass $750\,$GeV production for the $3\ell$ category. The resonant HH signal is shown for a cross section amounting to $1$pb. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate signal quantiles.

Distribution in the output of the BDT trained for resonances of spin 2 and mass $750\,$GeV production for the $2\ell$(ss) category. The resonant HH signal is shown for a cross section amounting to $1\,$pb. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate signal quantiles.

Distribution in the output of the BDT trained for resonances of spin 2 and mass $750\,$GeV production for the $3\ell$ category. The resonant HH signal is shown for a cross section amounting to $1\,$pb. The distributions expected for the background processes are shown for the values of nuisance parameters obtained from the ML fit of the signal+background hypothesis to the data. The binning is chosen to approximate signal quantiles.