Exclusion limits on the product of the production cross section and the branching fraction for a Radion produced by vector boson fusion and decaying to WW, as a function of the resonance mass hypothesis.

Exclusion limits on the product of the production cross section and the branching fraction for a Z' produced by quark annihilation and decaying to WW, as a function of the resonance mass hypothesis.

Exclusion limits on the product of the production cross section and the branching fraction for a Z' produced by vector boson fusion and decaying to WW, as a function of the resonance mass hypothesis.

Exclusion limits on the product of the production cross section and the branching fraction for a W' produced by quark annihilation and decaying to WZ, as a function of the resonance mass hypothesis.

Exclusion limits on the product of the production cross section and the branching fraction for a W' produced by vector boson fusion and decaying to WZ, as a function of the resonance mass hypothesis.

Exclusion limits on the product of the production cross section and the branching fraction for a W' produced by quark annihilation and decaying to WH, as a function of the resonance mass hypothesis.

The distributions of the transfer factor ($\alpha$) versus $m_T$ in the HP VBF category is shown. The last bin corresponds to the value obtained by integrating events above the penultimate bin.

The distributions of the transfer factor ($\alpha$) versus $m_T$ in the HP ggF/DY category is shown. The last bin corresponds to the value obtained by integrating events above the penultimate bin.

The distributions of the transfer factor ($\alpha$) versus $m_T$ in the LP VBF category is shown. The last bin corresponds to the value obtained by integrating events above the penultimate bin.

The distributions of the transfer factor ($\alpha$) versus $m_T$ in the LP ggF/DY category is shown. The last bin corresponds to the value obtained by integrating events above the penultimate bin.

Distributions of mT for high-purity ggF/DY CR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Distributions of mT for high-purity VBF CR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Distributions of mT for low-purity ggF/DY CR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Distributions of mT for low-purity VBF CR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Distributions of mT for high-purity ggF/DY SR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Distributions of mT for high-purity VBF SR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Distributions of mT for low-purity ggF/DY SR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Distributions of mT for low-purity VBF SR events after performing background-only fits. The last bin corresponds to the yields integrated above the penultimate bin. Both the ggF and VBF-produced 1 TeV graviton signals (normalized to 10 fb) are shown in the plot. Nonresonant background corresponds to the Z+jets and W+jets events. Resonant background corresponds to the ttbar, single top, and di/tri-boson events.

Expected and observed 95% CL upper limits on the product of the radion (R) production (gluon-gluon fusion) cross section and the R -> ZZ branching fraction versus the radion mass.

Expected and observed 95% CL upper limits on the product of the radion (R) production (vector boson fusion) cross section and the R -> ZZ branching fraction versus the radion mass.

Expected and observed 95% CL upper limits on the product of the W' (W') production (Drell-Yan) cross section and the W' -> WZ branching fraction versus the W' mass.

Expected and observed 95% CL upper limits on the product of the W' (W') production (vector boson fusion) cross section and the W' -> WZ branching fraction versus the W' mass.

Expected and observed 95% CL upper limits on the product of the graviton (G) production (gluon-gluon fusion) cross section and the G -> ZZ branching fraction versus the graviton mass.

Expected and observed 95% CL upper limits on the product of the graviton (G) production (vector boson fusion) cross section and the G -> ZZ branching fraction versus the graviton mass.

Post-fit event yields in the signal and control regions obtained from a scan over $\epsilon_{VV}$ exploiting both shape and rate information. The quoted uncertainties include the theoretical and experimental systematic sources and those due to sample statistics. The fit constrains the total expected yield to the observed yield. The diboson background is split into $W W$ and non-$W W$ contributions.

Best-fit values and their uncertainties as obtained from the shape-only and shape-plus-rate likelihood fits to the Asimov dataset and to ATLAS data. Results of both shape-only and shape+rate fits for $a_L$ and $a_T$ are shown. Results of fits to one parameter with the other one fixed or profiled are presented.

Best-fit values and their uncertainties as obtained from the shape-only and shape-plus-rate likelihood fits to the Asimov dataset and to ATLAS data. Results of both shape-only and shape+rate fits for $\epsilon_{VV}$ and $\kappa_{VV}$ are shown. Results of fits to one parameter with the other one fixed or profiled are presented.

The contributions of the leading individual systematic uncertainties together with the data statistical uncertainties, in the one dimensional fit for the pseudo-observables $\kappa_{VV}$ (a) and $\epsilon_{VV}$ (b) for electroweak-boson polarisation in the VBF $H\to WW$ channel. Both shape and rate informations are exploited in the fit. The theoretical and experimental uncertainties are subdivided further into categories.

The contributions of the leading individual systematic uncertainties together with the data statistical uncertainties, in the one dimensional fit for the pseudo-observables $\kappa_{VV}$ (a) and $\epsilon_{VV}$ (b) for electroweak-boson polarisation in the VBF $H\to WW$ channel. Both shape and rate informations are exploited in the fit. The theoretical and experimental uncertainties are subdivided further into categories.

Post-fit distribution of the BDT response observable presented in the four $|\Delta \eta jj|$ categories of the ggF +2 jets signal region, with signal and background yields fixed from the fit for $\mu^{\text{ggF+2jets}}$. The distributions of the ggF + 2 jets and VBF processes are overlaid with their respective contributions multiplied by 50.

The weighted $\Delta \Phi_{jj}$ post-fit distribution in the ggF +2 jets signal region, with signal and background yields fixed from the fit to $\tan \alpha$ using shape and rate information.

Expected and observed likelihood curves for scans over $\tan \alpha$ where only the shape is taken into account in the fit, $\mu_{VBF}$ is fixed.

Expected and observed likelihood curves for scans over $\tan \alpha$ where both shape and normalisation are taken into account in the fit, $\mu_{VBF}$ is fixed.

68% and 95% CL two-dimensional likelihood contours of the CP-even and CP-odd coupling parameters $K_{gg} \cos(\alpha)$ and $K_{gg} \sin(\alpha)$. The minima are represented by black stars, while the SM value is shown as a red star.

The weighted $\Delta \Phi jj$ distribution in the VBF signal region, with signal and background yields fixed from the fit for $\epsilon_{VV}$ using shape and rate information.

Likelihood scans over the transversally polarised couplings. The fit is using shape-only information. All relevant experimental and modelling systematic uncertainties are considered in the fit.

Likelihood scans over the transversally polarised couplings. The fit is using shape + rate information. All relevant experimental and modelling systematic uncertainties are considered in the fit.

Likelihood scans over the longitudinally polarised couplings. The fit is using shape + rate information. All relevant experimental and modelling systematic uncertainties are considered in the fit.

Likelihood scans over $\kappa_{VV}$ with the $\epsilon_{VV}$ profiled. The fit is performed using both shape and rate information. All relevant experimental and theoretical systematic uncertainties are considered in the fit.

Likelihood scans over $\epsilon_{VV}$ with the $\kappa_{VV}$ profiled. The fit is performed using both shape and rate information. All relevant experimental and theoretical systematic uncertainties are considered in the fit.

The contributions of the leading individual systematic uncertainties together with the data statistical uncertainties, in the one dimensional fit for electroweak-boson polarisation in the VBF $H\to WW$ channel, using (aL, aT) parametrisation. Both shape and rate informations are exploited in the fit. The theoretical and experimental uncertainties are subdivided further into categories.

The contributions of the leading individual systematic uncertainties together with the data statistical uncertainties, in the one dimensional fit for electroweak-boson polarisation in the VBF $H\to WW$ channel, using (aL, aT) parametrisation.. Both shape and rate informations are exploited in the fit. The theoretical and experimental uncertainties are subdivided further into categories.

Data compared to the SM prediction in each region of the positive \lam{} analysis, after the fit to data. The shaded bands represent the total post-fit uncertainty on the prediction.

Fit results in the ($\kappa_{Z}$, $\kappa_{W}$) plane, using the negative-$\lambda_{WZ}$ analysis. The results are overlaid with the confidence regions (shown in blue) from a separate fit using a combination of the Higgs boson measurements collected in Nature 607 (2022) 52. This fit assumes that all Higgs boson couplings besides the ones represented are positive, and that only SM particles contribute to loop processes. Confidence regions are constructed from the log-likelihood ratio $\Lambda_{LR}=-2\ln(L/L_{max})$, where $L_{\max}$ is the likelihood for the best-fit point, which is shown as a black dot for the VBF $WH$ analysis or a blue dot for the Higgs combination. The $1\sigma$, $2\sigma$, and $5\sigma$ regions are defined by $\Lambda_{LR}$ values smaller than 2.30, 6.18, and 28.7, respectively. The SM value is marked with a star, while green triangles mark the points with $\kappa_{Z} = \pm1$, $\kappa_{W} = \mp1$.

Expected (dashed black line) and observed (solid red line) 95% CL exclusion limits on the compressed SUSY simplified model with a bino-like LSP and wino-like NLSPs being considered. These are shown with $\pm1\sigma_\text{exp}$ (yellow band) from experimental systematic and statistical uncertainties, and with $\pm1\sigma^{\text{SUSY}}_{\text{theory}}$ (red dotted lines) from signal cross-section uncertainties, respectively. The limits set by the ATLAS searches using the soft lepton signature is illustrated by the blue region while the limit imposed by the LEP experiments is shown in grey.

Expected (dashed black line) and observed (solid red line) 95% CL exclusion limits on the compressed SUSY simplified model with a bino-like LSP and wino-like NLSPs being considered. These are shown with $\pm1\sigma_ ext{exp}$ (yellow band) from experimental systematic and statistical uncertainties, and with $\pm1\sigma^{ ext{SUSY}}_{ ext{theory}}$ (red dotted lines) from signal cross-section uncertainties, respectively. The limits set by the ATLAS searches using the soft lepton signature is illustrated by the blue region while the limit imposed by the LEP experiments is shown in grey.

The expected upper limits on the cross-sections at 95% CL for the simplified SUSY model featuring the production of mass-degenerate pairs of wino-like $\widetilde{\chi}_{2}^{0}$ and $\widetilde{\chi}_{1}^{\pm}$ particles in association with at least two jets. The production modes considered are $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{1}^{\pm}$, $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\mp}$, $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{2}^{0}$, and $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\pm}$.

The observed upper limits on the cross-sections at 95% CL for the simplified SUSY model featuring the production of mass-degenerate pairs of wino-like $\widetilde{\chi}_{2}^{0}$ and $\widetilde{\chi}_{1}^{\pm}$ particles in association with at least two jets. The production modes considered are $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{1}^{\pm}$, $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\mp}$, $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{2}^{0}$, and $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\pm}$.

Truth-level signal acceptances in $\text{SR}_\text{2j}$ with BDT score $\in [0.88, 1.0]$. All of the considered production modes ($\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{1}^{\pm}$, $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\mp}$, $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{2}^{0}$, and $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\pm}$) are included. The acceptance is defined as the fraction of accepted events divided by the total number of events in the generator-level signal Monte Carlo simulation. The generator-level selections are the same as the ones at reconstruction level.

Truth-level signal acceptances in $\text{SR}_{\geq\text{3j}}$ with BDT score $\in [0.88, 1.0]$. All of the considered production modes ($\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{1}^{\pm}$, $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\mp}$, $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{2}^{0}$, and $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\pm}$) are included. The acceptance is defined as the fraction of accepted events divided by the total number of events in the generator-level signal Monte Carlo simulation. The generator-level selections are the same as the ones at reconstruction level.

Signal efficiencies in $\text{SR}_\text{2j}$ with BDT score $\in [0.88, 1.0]$. All of the considered production modes ($\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{1}^{\pm}$, $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\mp}$, $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{2}^{0}$, and $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\pm}$) are included. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. The generator-level selections are the same as the ones at reconstruction level.

Signal efficiencies in $\text{SR}_{\geq\text{3j}}$ with BDT score $\in [0.88, 1.0]$. All of the considered production modes ($\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{1}^{\pm}$, $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\mp}$, $\widetilde{\chi}_{2}^{0}\widetilde{\chi}_{2}^{0}$, and $\widetilde{\chi}_{1}^{\pm}\widetilde{\chi}_{1}^{\pm}$) are included. The efficiency is defined by the number of events of reconstructed-level signal simulation divided by the number of events obtained at generator level. The generator-level selections are the same as the ones at reconstruction level.

Event selection cutflows for signal samples with $m(\tilde\chi^0_2) =100~\text{GeV}$ and $\Delta m(\tilde\chi^0_2 / \tilde\chi^\pm_1,\tilde\chi^0_1) = 0.2~\text{GeV}, 1.0~\text{GeV},$ and $5.0~\text{GeV}$. The first number in the column for each mass point corresponds to the signal event yield after applying the associated cut while the second number in parentheses represents the efficiency with respect to the previous cut. All of the production modes are included. The total cross-section used to obtain the initial number of events ($\sigma$) includes the cuts applied at parton level as described in the main text.