95% CL observed upper limits on the Yukawa couplings

Expected (dashed line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$, when all other coupling modifiers are fixed to their SM predictions.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $\kappa_{\lambda}$, $\kappa_{2V}$ parameter space, when all other coupling modifiers are fixed to their SM predictions. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood expected contours at 68% CL (teal shaded region) and 95% CL (yellow shaded region) in the $\kappa_{\lambda}$, $\kappa_{2V}$ parameter space, when all other coupling modifiers are fixed to their SM predictions.In the plot, the SM prediction is indicated by the star.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{gghh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood expected contours at 68% CL (teal shaded region) 95% CL (yellow shaded region) in the $c_{gghh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. In the plot, the SM prediction is indicated by the star.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{tthh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood exptected contours at 68% CL (teal shaded region) and 95% CL (yellow shaded region) in the $c_{tthh}$ versus $c_{hhh}$ HEFT parameter space, with the remaining coefficient fixed to its SM value. In the plot, the SM prediction is indicated by the star.

The observed (filled circles) and expected (hollow circles) 95% CL upper limits on the $HH$ ggF production cross-section in the Standard Model and for seven HEFT benchmark points. The teal and yellow colored bands indicate the $\pm 1\sigma$ and $\pm 2\sigma$ variations on the expected limit due to statistical and systematic uncertainties. The predicted cross-sections of each of the models under consideration are shown by the red crosses. The contribution from VBF production to the total $HH$ production cross-section is neglected.

Likelihood observed contours at 68% CL (solid line) and 95% CL (dashed line) in the $c_{{H}\boxed{}}$ versus $c_{H}$ SMEFT parameter space, with the remaining coefficient fixed to its SM value. The best-fit value, denoted by a cross in the plot, corresponds to the very first entry in the table.

Likelihood expected contours at 68% CL (teal shaded region) 95% CL (yellow shaded region) in the $c_{{H}\boxed{}}$ versus $c_{H}$ SMEFT parameter space, with the remaining coefficient fixed to its SM value. In the plot, the SM prediction is indicated by the star.

The acceptance times efficiency for the signal ggF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category. The other coupling modifiers affecting ggF $HH$ production are fixed to their SM predictions. The bands indicate the simulation statistical uncertainty.

The acceptance times efficiency for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category. When varying $\kappa_{\lambda}$, the other coupling modifiers affecting the VBF $HH$ production mode are set to their SM predictions. The bands indicate the simulation statistical uncertainty.

The acceptance times efficiency for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{2V}$ in each analysis category. When varying $\kappa_{2V}$, the other coupling modifiers affecting the VBF $HH$ production mode are set to their SM predictions. The bands indicate the simulation statistical uncertainty.

Expected yields of the signal $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ after applying the analysis preselection and in each analysis category after the final selection. The $HH$ yield is obtained considering both the $ggF$ and $VBF$ contributions. The other coupling modifiers affecting $HH$ production are fixed to their SM predictions. The bands indicate the simulation statistical uncertainty.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{hhh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{tthh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{gghh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{H}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The acceptance times efficiency for the signal ggF $HH$ process in each analysis category as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{hhh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{tthh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{gghh}$ HEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{H}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

The yield of the signal ggF $HH$ process in each analysis category as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients. The dashed lines denote values that are excluded at 95% CL. The bottom panels show the efficiency of the sum of all analysis categories.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 1 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 2 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 3 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the low mass 4 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the high mass 1 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the high mass 2 region.

Distributions of the diphoton invariant mass for events in data (black dots with error bars) compared to the sum of the expected signal and backgrounds (histograms) in the high mass 3 region.

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{hhh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{hhh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{gghh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{gghh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{tthh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{tthh}$ HEFT coefficients when all other coupling modifiers are fixed to the SM value

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{H}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{H}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Observed (solid line) value of $-2\ln\Lambda$ as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Expected (dashed line) value of $-2\ln\Lambda$ as a function of the $c_{{H}\boxed{}}$ SMEFT coefficients when all other coupling modifiers are fixed to the SM value.

Summary of the expected (blue) and observed (orange) one-dimensional constraints at 68% (solid error bars) and 95% (dashed error bars) CL on the coefficients of selected HEFT (top) and SMEFT (bottom) operators describing Higgs boson interactions affecting $HH$ production through gluon--gluon fusion. The results are obtained from one dimensional scans of the profile log-likelihood assuming that all other Wilson coefficients are fixed to their SM values. The contribution from VBF $HH$ production is neglected.

The correlation matrix for the Higgs pT measurements, both for the unregularized and regularized fits. The last bin is inclusive.

The correlation matrix for the jet multiplicity measurements, both for the unregularized and regularized fits. The last bin is inclusive.

The correlation matrix for the leading jet pT measurements, both for the unregularized and regularized fits. The last bin is inclusive.

The fiducial integrated signal strength and cross section.

Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs analyses combination, with all other coupling modifiers fixed to unity.

Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the double-Higgs analyses, with all other coupling modifiers fixed to unity.

Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs analyses, with all other coupling modifiers fixed to unity.

Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs combination for the generic model (free floating $\kappa_t$, $\kappa_b$, $\kappa_V$ and $\kappa_\tau$). The observed best-fit value of $\kappa_\lambda$ for the generic model is shifted slightly relative to the other models because of its correlation with the best-fit values of the $\kappa_b$, $\kappa_t$ and $\kappa_\tau$ parameters, which are slightly below, but compatible with unity.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs analyses combination derived from the combined single-Higgs and double-Higgs analyses, with all other coupling modifiers fixed to unity.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the double-Higgs analyses.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs analyses, with all other coupling modifiers fixed to unity.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs analyses for the generic model (free floating $\kappa_t$, $\kappa_b$, $\kappa_V$ and $\kappa_\tau$).

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The solid lines show the 68% CL contours. The observed constraint for the single- and double-Higgs combination for $\kappa_t$ values below unity is slightly less stringent than that for the single-Higgs fit alone due to the slightly higher best-fit value for this coupling modifier.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The dashed lines show the 95% CL contours. The observed constraint for the single- and double-Higgs combination for $\kappa_t$ values below unity is slightly less stringent than that for the single-Higgs fit alone due to the slightly higher best-fit value for this coupling modifier.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analysis. The solid lines show the 68% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analysis. The dashed lines show the 95% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analysis. The solid lines show the 68% CL contours.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analysis. The dashed lines show the 95% CL contours.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The solid lines show the 68% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The dashed lines show the 95% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analyses. The solid lines show the 68% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analyses. The dashed lines show the 95% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analyses. The solid lines show the 68% CL contours.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analyses. The dashed lines show the 95% CL contours.

Observed and expected 95% CL upper limits on the sum of the ggF HH and VBF HH production cross-section from the bbbb, bb$\tau\tau$ and bb$\gamma\gamma$ decay channels, and their statistical combination. The value $m_H$=125.09 GeV is assumed when deriving the predicted SM cross section. The expected limit and the corresponding error bands are derived assuming the absence of the HH process with all nuisance parameters profiled to the observed data. The SM prediction together with its theoretical uncertainty is also shown (red vertical band).

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Observed constraints in the $\kappa_{2V}$–$\kappa_{V}$ plane from double-Higgs combination. The solid lines show the 68% (95%) CL contours.

Observed constraints in the $\kappa_{2V}$–$\kappa_{V}$ plane from double-Higgs combination. The dashed lines show the 68% (95%) CL contours.

Expected constraints in the $\kappa_{2V}$-$\kappa_{V}$ plane from double-Higgs combination. The solid lines show the 68% CL contours.

Expected constraints in the $\kappa_{2V}$-$\kappa_{V}$ plane from double-Higgs combination. The dashed lines show the 95% CL contours.

Observed and expected 95% CL upper limits on the product of the cross section of a Z' resonance decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the cross section of a V' resonance decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the cross section of a V' resonance decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the cross section of a graviton decaying to a pair of SM bosons.

Observed and expected 95% CL upper limits on the product of the Z' cross section and the Z' -> WW branching fraction as a function of the Z' resonance mass.

Observed and expected 95% CL upper limits on the product of the bulk graviton cross section and the G -> WW branching fraction as a function of the G resonance mass.

Observed and expected 95% CL upper limits on the product of the W' cross section and the W' -> WZ branching fraction as a function of the W' resonance mass.

Observed and expected 95% CL upper limits on the product of the bulk graviton cross section and the G -> ZZ branching fraction as a function of the G resonance mass.

Observed and expected 95% CL upper limits on the product of the W' cross section and the W' -> WH branching fraction as a function of the W' resonance mass.

Observed and expected 95% CL upper limits on the product of the Z' cross section and the Z' -> ZH branching fraction as a function of the Z' resonance mass.

Observed and expected 95% CL upper limits on the product of the bulk graviton cross section and the G -> HH branching fraction as a function of the G resonance mass.

Observed and expected 95% CL upper limits on the product of the production cross section ($\sigma$) and the branching fraction, obtained after combining all categories with 138 $\mathrm{fb}^{−1}$ of data at $\sqrt{s}$ = 13 TeV for $\mathrm{V'}$ to $VV$ + $VH$ signal in HVT model C.

Total signal efficiency including all event categories as a function of the resonance mass $M_X$ for all DY/ggF signal models under consideration. The estimates from MC simulation (markers) are interpolated with a functional form (lines).

Total signal efficiency including all event categories as a function of the resonance mass $M_X$ for all VBF signal models under consideration. The estimates from MC simulation (markers) are interpolated with a functional form (lines).

Expected and observed 95% CL upper limits on the branching ratio of the Higgs boson decay to $Za$ times the branching ratio $a $->$ \gamma \gamma$ as a function of the $a$ particle mass in the merged ($m_a \le 2$ GeV) and the resolved ($m_a > 2$ GeV) categories. The figure uses $pp$ collision data at $\sqrt{s}=13$ TeV corresponding to 139 fb$^{-1}$.

ATLAS observed 95% CL exclusion contours limits in terms of the ALP mass and its effective coupling to photons, $|C_{\gamma\gamma}|/\Lambda$, for different values of the Higgs coupling to $Za$, $|C_{Zh}|/\Lambda$. The figure uses $pp$ collision data at $\sqrt{s}=13$ TeV corresponding to 139 fb$^{-1}$. The value 100 in the tables is presentational, denoting the upper edge of the plot.

Correlation matrix associated to the statistical covariance matrix of the data and MC for the primary Lund jet plane density for AK8 jets in a one-dimensional representation with bin indices. The mapping between the bin indices and the physical binning can be imported from the XML file attached to this HepData record using the TUnfoldBinningXML class of ROOT (qualitatively, it corresponds to slicing the Lund plane horizontally from low kT to high kT).