Distributions of the $\mathrm{NN^{SvsB}}$ output for data and the expected background after the likelihood fit in the $SR_{cQu --}$ signal region. The post-fit background expectations are shown as filled histograms, the combined pre-fit background expectations are shown as dashed lines. The signal distribution using the Wilson coefficient values $c_{tu}^{(1)}=0.04$, $c_{Qu}^{(1)}=0.1$, $c_{Qu}^{(8)}=0.1$ is shown with a dotted line, normalized to the same number of events as the background.

Summary of the observed and predicted number of events in the five 2$\ell$ control regions. The background prediction is shown after the combined likelihood fit to data under the signal-plus-background hypothesis across all control regions and signal regions. The uncertainties in the total yields are smaller than the sum in quadrature of the uncertainties in the individual contributions due to anti-correlations resulting from the likelihood fit. Int Conv refers to events with photon conversions in the inner detector, while Mat Conv refers to events with photon conversions in the detector material. QMisID refers to events with charge-misidentified lepton.

Summary of the observed and predicted number of events in the four 3$\ell$ control regions. The background prediction is shown after the combined likelihood fit to data under the signal-plus-background hypothesis across all control regions and signal regions. The uncertainties in the total yields are smaller than the sum in quadrature of the uncertainties in the individual contributions due to anti-correlations resulting from the likelihood fit. Int Conv refers to events with photon conversions in the inner detector, while Mat Conv refers to events with photon conversions in the detector material. QMisID refers to events with charge-misidentified lepton.

Comparison of the observed limits on the three WCs to the limit obtained by the ATLAS Run~1 analysis of events with $b$-tagged jets and a same-sign lepton pair [JHEP10(2015)150]. The cross-section limits from that analysis are converted to the limits on the WCs by using the fitted EFT parametrization. The bounds on the WCs are shown at the 68$\%$ CL (solid) and/or 95$\%$ CL (dashed) levels. For the ATLAS Run~1 analysis only the bounds at 95$\%$ CL are available. The vertical bar represents the SM prediction. The new-physics scale is set to $\Lambda = 1 \, \text{TeV}$.

Observed lower limits at 95$\%$ confidence level on the scale of new physics $\Lambda$ for Wilson coefficient values of 0.01, 1 and $4\pi^2$. The limits are compared with the limits obtained by the ATLAS Run~1 analysis of events with $b$-tagged jets and a same-sign lepton pair.

Observed and expected limits at 95$\%$ confidence level on the cross-section of $\sigma(pp \rightarrow tt)$.

2D likelihood scans of the Wilson coefficients $c_{tu}^{(1)}$ versus $c_{Qu}^{(1)}$. The new-physics scale is set to $\Lambda = 1 \, \text{TeV}$. In the table the $2\Delta$NLL values are shown which correspond to the minimized negative log likelihood for a given Wilson coefficient pair.

2D likelihood scans of the Wilson coefficients $c_{tu}^{(1)}$ versus $c_{Qu}^{(8)}$. The new-physics scale is set to $\Lambda = 1 \, \text{TeV}$. In the table the $2\Delta$NLL values are shown which correspond to the minimized negative log likelihood for a given Wilson coefficient pair.

2D likelihood scans of the Wilson coefficients $c_{Qu}^{(1)}$ versus $c_{Qu}^{(8)}$. The new-physics scale is set to $\Lambda = 1 \, \text{TeV}$. In the table the $2\Delta$NLL values are shown which correspond to the minimized negative log likelihood for a given Wilson coefficient pair.

1D-likelihood scan for $c_{tu}^{(1)}$. The observed and expected limits at 68\% and 95\% confidence level (CL) can be read off by finding the intersection of the likelihood scan curve with the 1$\sigma$ and 2$\sigma$ lines. The new-physics scale is set to $\Lambda = 1 \, \text{TeV}$. In the table the $2\Delta$NLL values are shown which correspond to the minimized negative log likelihood for a given Wilson coefficient value.

1D-likelihood scan for $c_{Qu}^{(1)}$. The observed and expected limits at 68\% and 95\% confidence level (CL) can be read off by finding the intersection of the likelihood scan curve with the 1$\sigma$ and 2$\sigma$ lines. The new-physics scale is set to $\Lambda = 1 \, \text{TeV}$. In the table the $2\Delta$NLL values are shown which correspond to the minimized negative log likelihood for a given Wilson coefficient value.

1D-likelihood scan for $c_{Qu}^{(8)}$. The observed and expected limits at 68\% and 95\% confidence level (CL) can be read off by finding the intersection of the likelihood scan curve with the 1$\sigma$ and 2$\sigma$ lines. The new-physics scale is set to $\Lambda = 1 \, \text{TeV}$. In the table the $2\Delta$NLL values are shown which correspond to the minimized negative log likelihood for a given Wilson coefficient value.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) doublet representation assuming $\kappa$=0.5. The expected limits for the individual analyses are shown. The $HtZt$ analysis is only included in the limit calculation for $m_{\mathrm{T}}$ < 2.1 TeV.

Observed 95% CL exclusion limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of the universal coupling constant and the $T$-quark mass in the SU(2) singlet representation. Limits are only presented in the regime $\Gamma/m_{\mathrm{T}}$ < 50%, where the theory calculations are known to be valid.

Expected 95% CL exclusion limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of the universal coupling constant and the $T$-quark mass in the SU(2) singlet representation. Limits are only presented in the regime $\Gamma/m_{\mathrm{T}}$ < 50%, where the theory calculations are known to be valid.

Observed 95% CL exclusion limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of the universal coupling constant and the $T$-quark mass in the SU(2) doublet representation. Limits are only presented in the regime $\Gamma/m_{\mathrm{T}}$ < 50%, where the theory calculations are known to be valid.

Expected 95% CL exclusion limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of the universal coupling constant and the $T$-quark mass in the SU(2) doublet representation. Limits are only presented in the regime $\Gamma/m_{\mathrm{T}}$ < 50%, where the theory calculations are known to be valid.

Obs.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.OSML 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.HTZT 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.Monotop 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Obs.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.OSML 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.HTZT 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Observed upper limits at 95% CL on the $T$ quark mass as a function of the relative resonance width ($\Gamma_{\mathrm{T}}/m_{\mathrm{T}}$) and the relative coupling parameter $\xi_W$.

Expected upper limits at 95% CL on the $T$ quark mass as a function of the relative resonance width ($\Gamma_{\mathrm{T}}/m_{\mathrm{T}}$) and the relative coupling parameter $\xi_W$.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) singlet representation assuming $\kappa$=0.7. The expected limits for the individual analyses are shown.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) doublet representation assuming $\kappa$=0.7. The expected limits for the individual analyses are shown.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) singlet representation assuming $\kappa$=0.3. The observed limits for the individual analyses are shown. The $HtZt$ analysis is only included in the limit calculation for $m_{\mathrm{T}}$ < 2.1 TeV.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) singlet representation assuming $\kappa$=0.5. The observed limits for the individual analyses are shown. The $HtZt$ analysis is only included in the limit calculation for $m_{\mathrm{T}}$ < 2.1 TeV.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) singlet representation assuming $\kappa$=0.7. The observed limits for the individual analyses are shown.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) doublet representation assuming $\kappa$=0.3. The observed limits for the individual analyses are shown. The $HtZt$ analysis is only included in the limit calculation for $m_{\mathrm{T}}$ < 2.1 TeV.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) doublet representation assuming $\kappa$=0.5. The observed limits for the individual analyses are shown. The $HtZt$ analysis is only included in the limit calculation for $m_{\mathrm{T}}$ < 2.1 TeV.

Observed and expected 95% CL upper limits on the total cross-section σ($pp$ → $T$ → $Ht/Zt$) as a function of $T$-quark mass in the SU(2) doublet representation assuming $\kappa$=0.7. The observed limits for the individual analyses are shown.

Obs.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Obs.OSML 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Obs.HTZT 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Obs.Monotop 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) singlet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Obs.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.Comb 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-1\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$+2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Exp.$-2\sigma$ for the 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Obs.OSML 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

Obs.HTZT 95% CL exclusion limits on the universal coupling constant $\kappa$ as a function of the $T$ quark mass in the SU(2) doublet representations for the combination. Limits are only presented in the regime $\Gamma_{\mathrm{T}}/m_{\mathrm{T}} < 50\%$, where the theory calculations are known to be valid.

The cutflow table for $N1$ and $N2$ signal samples for different mass points. The samples consist of both $ee$ and $\mu\mu$ final states in equal ratio. Each sample is normalized to a total cross-section of 0.1 pb. The abbreviations used in the table are, SC = Same Charge, SF = Same Flavor.

The cutflow table for $N3$ signal samples for different mass points. The samples consist of both $ee$ and $\mu\mu$ final states in equal ratio. Each sample is normalized to a total cross-section of 10 pb. The abbreviations used in the table are, SS = Same Charge, SF = Same Flavor.

Expected and observed upper limits on the strength of HNL mixing with electron neutrinos

Expected and observed upper limits on the strength of HNL mixing with muon neutrinos

Expected and observed upper limits on the strength of HNL mixing with tau neutrinos

'200 GeV, Centrality: 80-100%'

'54.4 GeV, Centrality: 40-60%'

'54.4 GeV, Centrality: 60-80%'

'54.4 GeV, Centrality: 80-100%'

'200 GeV, Centrality: 80-100%'

'$0.4 < M_{ee} < 0.76 GeV/c^{2}$, Centrality: 40-60%'

'$0.4 < M_{ee} < 0.76 GeV/c^{2}$, Centrality: 60-80%'

'$0.4 < M_{ee} < 0.76 GeV/c^{2}$, Centrality: 80-100%'

'$0.76 < M_{ee} < 1.2 GeV/c^{2}$, Centrality: 40-60%'

'$0.76 < M_{ee} < 1.2 GeV/c^{2}$, Centrality: 60-80%'

'$0.76 < M_{ee} < 1.2 GeV/c^{2}$, Centrality: 80-100%'

'$1.2 < M_{ee} < 2.6 GeV/c^{2}$, Centrality: 40-60%'

'$1.2 < M_{ee} < 2.6 GeV/c^{2}$, Centrality: 60-80%'

'$1.2 < M_{ee} < 2.6 GeV/c^{2}$, Centrality: 80-100%'

'54.4 GeV, Centrality: 40-60%'

'54.4 GeV, Centrality: 60-80%'

'54.4 GeV, Centrality: 80-100%'

'200 GeV, Centrality: 80-100%'

'Centrality: 40-60%'

'Centrality: 60-80%'

'Centrality: 80-100%'

'54.4 GeV, Centrality: 40-60%'

'54.4 GeV, Centrality: 60-80%'

'54.4 GeV, Centrality: 80-100%'

'200 GeV, Centrality: 80-100%'

'$-2<cos(4\Delta\phi)>$ as a function of $p_{T}$ @ 200 GeV, Centrality: 80-100%'

'$-2<cos(4\Delta\phi)>$ as a function of $p_{T}$ @ 200 GeV, UPC'

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\gamma\gamma$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for Multilepton.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for combination.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}b\bar{b}$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\tau\tau$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\gamma\gamma$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for Multilepton.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for combination.

Observed and expected 95&percnt; CL upper limits on the signal strength for the inclusive ggF HH production from the bb&#772;&tau;⁺&tau;^-, bb&#772;&gamma;&gamma;, bb&#772;bb&#772;, multilepton and bb&#772;&#8467;&#8467;+E_T^miss decay channels, and their statistical combination. When deriving the limit on &mu;_ggF^HH (&mu;_VBF^HH), the VBF (ggF) HH production cross-section is fixed to the SM predicted value for m_H=125 GeV. The expected limit, along with the &plusmn;1&sigma; and &plusmn;2&sigma; bands, is calculated under the assumption of no HH process and with all NPs profiled to the observed data.

Observed and expected 95&percnt; CL upper limits on the signal strength for the VBF HH production from the bb&#772;&tau;⁺&tau;^-, bb&#772;&gamma;&gamma;, bb&#772;bb&#772;, multilepton and bb&#772;&#8467;&#8467;+E_T^miss decay channels, and their statistical combination. When deriving the limit on &mu;_ggF^HH (&mu;_VBF^HH), the VBF (ggF) HH production cross-section is fixed to the SM predicted value for m_H=125 GeV. The expected limit, along with the &plusmn;1&sigma; and &plusmn;2&sigma; bands, is calculated under the assumption of no HH process and with all NPs profiled to the observed data.

Observed and expected upper limits at 95&percnt; CL on the inclusive ggF and VBF HH production cross-section from the bb&#772;&tau;⁺&tau;^-, bb&#772;&gamma;&gamma;, bb&#772;bb&#772;, multilepton and bb&#772;&#8467;&#8467;+E_T^miss decay channels, and their statistical combination. The Higgs boson mass is set to 125&nbsp;GeV when deriving the predicted SM cross-section (red band). The expected limits, along with the &plusmn;1&sigma; and &plusmn;2&sigma; bands, are calculated under the assumption of no Higgs boson pair production and with all NPs profiled to the observed data.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}b\bar{b}$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\tau\tau$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\gamma\gamma$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for Multilepton.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for combination.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}b\bar{b}$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\tau\tau$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\gamma\gamma$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for $b\bar{b}\ell\ell+E_\text{T}^{\text{miss}}$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for Multilepton.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for combination.

Observed (solid lines) and expected (dashed lines) 95&percnt; CL exclusion limits on the HH production cross-sections of (a) the inclusive ggF and VBF processes as a function of &kappa;_&lambda;, for the bb&#772;&gamma;&gamma; (purple), bb&#772;&tau;⁺&tau;^- (green), multilepton (cyan), bb&#772;bb&#772; (blue) and bb&#772;&#8467;&#8467;+E_T^miss (brown) decay channels and their combination (black). The expected limits assume no HH production. The red line shows the theory prediction for the ggF and VBF HH production cross-section as a function of &kappa;_&lambda;. The bands surrounding the red cross-section lines indicate the theoretical uncertainties on the predicted cross-section.

Observed (solid lines) and expected (dashed lines) 95&percnt; CL exclusion limits on the HH production cross-sections of the VBF process as a function of &kappa;_2V, for the bb&#772;&gamma;&gamma; (purple), bb&#772;&tau;⁺&tau;^- (green), multilepton (cyan), bb&#772;bb&#772; (blue) and bb&#772;&#8467;&#8467;+E_T^miss (brown) decay channels and their combination (black). The expected limits assume no VBF HH production. The ggF HH production cross-section is assumed to be as predicted by the SM. The ggF HH production cross-section is assumed to be as predicted by the SM. The red line shows the predicted VBF HH cross-section as a function of &kappa;_2V. The bands surrounding the red cross-section lines indicate the theoretical uncertainties on the predicted cross-section.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}b\bar{b}$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\tau\tau$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\gamma\gamma$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for combination.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}b\bar{b}$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\tau\tau$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for $b\bar{b}\gamma\gamma$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{gghh}$ parameter for combination.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}b\bar{b}$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\tau\tau$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\gamma\gamma$.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for combination.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}b\bar{b}$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\tau\tau$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for $b\bar{b}\gamma\gamma$.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $c_{tthh}$ parameter for combination.

Observed and expected 95&percnt; CL combined upper limits on the cross-section for the SM and seven BSM HEFT benchmarks (arXiv:2304.01968 [hep-ph]) in the ggF process, describing representative signal kinematics and m_HH shape features obtained by varying multiple HEFT coefficients. The expected limits from the bb&#772;&tau;⁺&tau;^-, bb&#772;&gamma;&gamma; and bb&#772;bb&#772; decay channels are presented as well. Theoretical predictions, estimated using specific sets of coefficient values defined in the benchmarks, are shown as red cross dots.

R32 for $H_{T2}$, 0.2 x $H_{T2} < $p_{T,3}$

R32 for $H_{T2}$, 0.3 x $H_{T2} < $p_{T,3}$

R32 for $H_{T2}$, pT,jet

R32 for delta y

R32 for delta y max

R32 for $m_{jj}$

R32 for $m_{jj, max}$

R43 for $H_{T2}$, 60 GeV < $p_{T,3}$

R43 for $H_{T2}$, 0.1 x $H_{T2} < $p_{T,3}$

R43 for $H_{T2}$, 0.3 x $H_{T2} < $p_{T,3}$

R43 for $H_{T2}$, pT,jet

R43 for $Delta y_{jj}$

R43 for $Delta y_{jj, max}$

R43 for $m_{jj}$

R43 for $m_{jj, max}$

R54 for $H_{T2}$, 60 GeV < $p_{T,3}$

R54 for $H_{T2}$, 0.1 x $H_{T2} < $p_{T,3}$

R54 for $H_{T2}$, 0.3 x $H_{T2} < $p_{T,3}$

R54 for $Delta y_{jj}$

R54 for $Delta y_{jj, max}$

R54 for $m_{jj}$

R54 for $m_{jj, max}$

R42 for $H_{T2}$, 60 GeV < $p_{T,3}$

R42 for $H_{T2}$, 0.1 x $H_{T2} < $p_{T,3}$

R42 for $H_{T2}$, 0.3 x $H_{T2} < $p_{T,3}$

R42, pT,jet

R42 for $Delta y_{jj}$

R42 for $Delta y_{jj, max}$

R42 for $m_{jj}$

R42 for $m_{jj}$

HT2, $p_{T,3}$ > 60 GeV, $N_{jet}$ >= 2

HT2, $p_{T,3}$ > 60 GeV, $N_{jet}$ >=3

HT2, $p_{T,3}$ > 60 GeV, $N_{jet}$ >=4

HT2, $p_{T,3}$ > 60 GeV, $N_{jet}$ >= 5

HT2, $p_{T,3}$/HT2 > 0.05, $N_{jet}$ >= 2

HT2, $p_{T,3}$/HT2 > 0.05, $N_{jet}$ >=3

HT2, $p_{T,3}$/HT2 > 0.05, $N_{jet}$ >=4

HT2, $p_{T,3}$/HT2 > 0.05, $N_{jet}$ >= 5

HT2, $p_{T,3}$/HT2 > 0.10, $N_{jet}$ >= 2

HT2, $p_{T,3}$/HT2 > 0.10, $N_{jet}$ >=3

HT2, $p_{T,3}$/HT2 > 0.10, $N_{jet}$ >=4

HT2, $p_{T,3}$/HT2 > 0.10, $N_{jet}$ >= 5

HT2, $p_{T,3}$/HT2 > 0.20, $N_{jet}$ >= 2

HT2, $p_{T,3}$/HT2 > 0.20, $N_{jet}$ >=3

HT2, $p_{T,3}$/HT2 > 0.20, $N_{jet}$ >=4

HT2, $p_{T,3}$/HT2 > 0.20, $N_{jet}$ >= 5

HT2, $p_{T,3}$/HT2 > 0.30, $N_{jet}$ >= 2

HT2, $p_{T,3}$/HT2 > 0.30, $N_{jet}$ >=3

HT2, $p_{T,3}$/HT2 > 0.30, $N_{jet}$ >=4

HT2, $p_{T,3}$/HT2 > 0.30, $N_{jet}$ >= 5

pTnincl

pTnincl

pTnincl

mjj max, $N_{jet}$ >= 2

mjj max, $N_{jet}$ >= 3

mjj max, $N_{jet}$ >= 4

mjj max, $N_{jet}$ >= 5

$m_{jj}$ $N_{jet}$ >= 2

$m_{jj}$ $N_{jet}$ >= 3

$m_{jj}$ $N_{jet}$ >= 4

$m_{jj}$ $N_{jet}$ >= 5

$Delta y_{jj}$ $N_{jet}$ >= 2

$Delta y_{jj}$ $N_{jet}$ >= 3

$Delta y_{jj}$ $N_{jet}$ >= 4

$Delta y_{jj}$ $N_{jet}$ >= 5

$Delta y_{jj, max}$, $N_{jet}$ >= 2

$Delta y_{jj, max}$, $N_{jet}$ >= 3

$Delta y_{jj, max}$, $N_{jet}$ >= 4

$Delta y_{jj, max}$, $N_{jet}$ >= 5

R32 for $H_{T2}$, 60 GeV < $p_{T,3}$

R32 for $H_{T2}$, 0.05 x $H_{T2} < $p_{T,3}$

R32 for $H_{T2}$, 0.1 x $H_{T2} < $p_{T,3}$

R32 for $H_{T2}$, 0.2 x $H_{T2} < $p_{T,3}$

R32 for $H_{T2}$, 0.3 x $H_{T2} < $p_{T,3}$