The 95% CL limits on $|V_{Ne}|^2$ as a function of the HNL mass for a Dirac HNL. Values of $-1$ indicate that no limit is available for the mass point.

The 95% CL limits on $|V_{N\mu}|^2$ as a function of the HNL mass for a Dirac HNL. Values of $-1$ indicate that no limit is available for the mass point.

The 95% CL limits on mixed coupling as a function of the HNL mass for a Dirac HNL. Values of $-1$ indicate that no limit is available for the mass point.

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

Observed (solid line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$ for the combined fit, when all other coupling modifiers are fixed to their SM predictions.

Expected (dashed line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$ for the combined fit, 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 contours at 68% (solid line) and 95% (dashed line) CL in the ($c_{hhh}$, $c_{gghh}$) parameter space, when all other Wilson coefficients are fixed to their SM values. The corresponding expected contours are shown by the inner and outer shaded regions. The SM prediction is indicated by the star, while the observed best-fit value is denoted by the black cross. The best-fit value corresponds to the very first entry in the table.

Likelihood contours at 68% (solid line) and 95% (dashed line) CL in the ($c_{hhh}$, $c_{gghh}$) parameter space, when all other Wilson coefficients are fixed to their SM values. The corresponding expected contours are shown by the inner and outer shaded regions. The SM prediction is indicated by the star, while the observed best-fit value is denoted by the black cross.

Likelihood contours at 68% (solid line) and 95% (dashed line) CL in the ($c_{hhh}$, $c_{tthh}$) parameter space, when all other Wilson coefficients are fixed to their SM values. The corresponding expected contours are shown by the inner and outer shaded regions. The SM prediction is indicated by the star, while the observed best-fit value is denoted by the black cross. The best-fit value corresponds to the very first entry in the table.

Likelihood contours at 68% (solid line) and 95% (dashed line) CL in the ($c_{hhh}$, $c_{tthh}$) parameter space, when all other Wilson coefficients are fixed to their SM values. The corresponding expected contours are shown by the inner and outer shaded regions. The SM prediction is indicated by the star, while the observed best-fit value is denoted by the black cross.

Likelihood contours at 68% (solid line) and 95% (dashed line) CL in the ($c_{H}$, $c_{H◻}$) parameter space, when all other Wilson coefficients are fixed to their SM values. The corresponding expected contours are shown by the inner and outer shaded regions. The SM prediction is indicated by the star, while the observed best-fit value is denoted by the black cross. The best-fit value corresponds to the very first entry in the table.

Likelihood contours at 68% (solid line) and 95% (dashed line) CL in the ($c_{H}$, $c_{H◻}$) parameter space, when all other Wilson coefficients are fixed to their SM values. The corresponding expected contours are shown by the inner and outer shaded regions. The SM prediction is indicated by the star, while the observed best-fit value is denoted by the black cross.

The acceptance times efficiency [in %] for the signal ggF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category for the $\tau_{\mathrm{had}}\tau_{\mathrm{had}}$ channel. The other coupling modifiers affecting ggF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal ggF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category for the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ SLT channel. The other coupling modifiers affecting ggF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal ggF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category for the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ LTT channel. The other coupling modifiers affecting ggF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category for the $\tau_{\mathrm{had}}\tau_{\mathrm{had}}$ channel. The other coupling modifiers affecting VBF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category for the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ SLT channel. The other coupling modifiers affecting VBF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{\lambda}$ in each analysis category for the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ LTT channel. The other coupling modifiers affecting VBF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{2V}$ in each analysis category for the $\tau_{\mathrm{had}}\tau_{\mathrm{had}}$ channel. The other coupling modifiers affecting VBF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{2V}$ in each analysis category for the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ SLT channel. The other coupling modifiers affecting VBF $HH$ production are fixed to their SM predictions.

The acceptance times efficiency [in %] for the signal VBF $HH$ process as a function of the coupling modifier $\kappa_{2V}$ in each analysis category for the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ LTT channel. The other coupling modifiers affecting VBF $HH$ production are fixed to their SM predictions.

Expected (dashed line) value of $-2\ln\Lambda$ as a function of $\kappa_{\lambda}$ for the fit to the $\tau_{\mathrm{had}}\tau_{\mathrm{had}}$ channel, when all other coupling modifiers are fixed to their SM predictions.

Expected (dashed line) value of $-2\ln\Lambda$ as a function of $\kappa_{\lambda}$ for the fit to the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ channel, when all other coupling modifiers are fixed to their SM predictions.

Observed (solid line) value of $-2\ln\Lambda$ as a function of $\kappa_{\lambda}$ for the fit to the $\tau_{\mathrm{had}}\tau_{\mathrm{had}}$ channel, when all other coupling modifiers are fixed to their SM predictions.

Observed (solid line) value of $-2\ln\Lambda$ as a function of $\kappa_{\lambda}$ for the fit to the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ channel, when all other coupling modifiers are fixed to their SM predictions.

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

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

Observed (solid line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$ for the fit to the $\tau_{\mathrm{had}}\tau_{\mathrm{had}}$ channel, when all other coupling modifiers are fixed to their SM predictions.

Observed (solid line) value of $-2\ln\Lambda$ as a function of $\kappa_{2V}$ for the fit to the $\tau_{\mathrm{lep}}\tau_{\mathrm{had}}$ channel, when all other coupling modifiers are fixed to their SM predictions.

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.

Local observed significance for signal discovery at different (mX, mS). The points show where the significance was evaluated. The band at mS = 125 GeV is not shown as those points are equivalent to those already probed in Phys. Rev. D 106 (2022) 052001.

Signal region yield for each of the simulated signal samples and interpolated signal points that were analyzed in the 1 b-jet Signal Region, normalized to a cross section of 1 fb. The signal region yields for one of the signals is found in Table 2 of the paper.

Signal region yield for each of the simulated signal samples and interpolated signal points that were analyzed in the 2 b-jet Signal Region, normalized to a cross section of 1 fb. The signal region yields for one of the signals is found in Table 2 of the paper.

The systematic covariance matrix for the $e^+e^- \to \pi^+ \pi^- \pi^0$ cross section measurement at the Belle II. The 212 x 212 matrix of the energy ranges from 0.62 to 3.50 GeV. This covariance matrix includes all systematic uncertainty given in Table I. The total covariance matrix for the measured cross section can be obtained by adding statistical and systematic covariance matrices.

This table provides the ``inverse'' of the total (stat.+ sys.) covariance matrix. This matrix can be used for a chi-square fit of the mass spectrum. We provide this inverse matrix since special care is needed to take the inverse of the given covariance matrix.

Distribution of the diphoton invariant mass in validation region VR2. The solid histograms are stacked to show the SM expectations after the 2×2D background estimation technique is applied. Background and signal predictions are normalised to the luminosity. The background category "h (other)" includes events originating from VBF, Vh, ggF, thq, thW and bb̄h, all subdominant in this signature. Statistical and systematic uncertainties are indicated by the shaded area. The lower panel of each plot shows the ratio of the data to the SM prediction for the respective bin. The first and last bins include the underflows and overflows respectively.

Distribution of the missing transverse momentum in validation region VR2. The solid histograms are stacked to show the SM expectations after the 2×2D background estimation technique is applied. Background and signal predictions are normalised to the luminosity. The background category "h (other)" includes events originating from VBF, Vh, ggF, thq, thW and bb̄h, all subdominant in this signature. Statistical and systematic uncertainties are indicated by the shaded area. The lower panel of each plot shows the ratio of the data to the SM prediction for the respective bin. The first and last bins include the underflows and overflows respectively.

Distribution of the diphoton invariant mass with all selections of the signal regions applied, except on m_{γγ} itself, for signal region SR1h. The background estimation techniques described in the text are applied. The different backgrounds are stacked to add up to the total SM prediction in each bin. The predicted yields for signal benchmark models of varying χ̃⁰₁ mass are also overlaid (not stacked) assuming B(χ̃⁰₁ → hG̃ ) to equal 100%. Background and signal predictions are normalised to the luminosity. The background category "h (other)" includes events originating from VBF, Vh, ggF, thq, thW and bb̄h, all subdominant in this signature. The sizes of the statistical and systematic uncertainties are indicated by the shaded areas. The lower panels show the ratio of the data to the SM prediction. Arrows indicate the borders of the signal region (|m_{γγ}-125 GeV|<5 GeV). The first and last bins include the underflows and overflows respectively.

Distribution of the diphoton invariant mass with all selections of the signal regions applied, except on m_{γγ} itself, for signal region SR1Z. The background estimation techniques described in the text are applied. The different backgrounds are stacked to add up to the total SM prediction in each bin. The predicted yields for signal benchmark models of varying χ̃⁰₁ mass are also overlaid (not stacked) assuming B(χ̃⁰₁ → hG̃ ) to equal 50%. Background and signal predictions are normalised to the luminosity. The background category "h (other)" includes events originating from VBF, Vh, ggF, thq, thW and bb̄h, all subdominant in this signature. The sizes of the statistical and systematic uncertainties are indicated by the shaded areas. The lower panels show the ratio of the data to the SM prediction. Arrows indicate the borders of the signal region (|m_{γγ}-125 GeV|<5 GeV). The first and last bins include the underflows and overflows respectively.

Distribution of the diphoton invariant mass with all selections of the signal regions applied, except on m_{γγ} itself, for signal region SR2. The background estimation techniques described in the text are applied. The different backgrounds are stacked to add up to the total SM prediction in each bin. The predicted yields for signal benchmark models of varying χ̃⁰₁ mass are also overlaid (not stacked) assuming B(χ̃⁰₁ → hG̃ ) to equal 100%. Background and signal predictions are normalised to the luminosity. The background category "h (other)" includes events originating from VBF, Vh, ggF, thq, thW and bb̄h, all subdominant in this signature. The sizes of the statistical and systematic uncertainties are indicated by the shaded areas. The lower panels show the ratio of the data to the SM prediction. Arrows indicate the borders of the signal region (|m_{γγ}-125 GeV|<5 GeV). The first and last bins include the underflows and overflows respectively.

Observed and expected limits on the pure higgsino cross-section at 95% CL assuming B(χ̃⁰₁ → hG̃ )=100% for different χ̃⁰₁ masses, obtained by a statistical combination of the three signal regions SR1h, SR1Z and SR2. The inner and outer bands indicate the 1σ and 2σ variation on the expected limit respectively.

Observed and expected 95% CL limits on the pure-higgsino branching fraction to B(χ̃⁰₁ → hG̃ ) as a function of the higgsino mass m(χ̃⁰₁) assuming it decays via either χ̃⁰₁→ hG̃ or χ̃⁰₁→ ZG̃. Limits are obtained by performing a statistical combination of the three signal regions SR1h, SR1Z and SR2. The ± 1σ variation on the expected limit is shown. The dotted lines indicate the observed limit obtained by a variation of theoretical prediction for the neutralino production cross-section by ±1 σ. Values of B(χ̃⁰₁ → hG̃ ) larger than the observed 95% CL limit are excluded, as indicated by the hatched area.

Observed and expected 95% CL limits on the pure-higgsino branching fraction to B(χ̃⁰₁ → hG̃ ) as a function of the higgsino mass m(χ̃⁰₁) assuming it decays via either χ̃⁰₁→ hG̃ or χ̃⁰₁→ ZG̃. Limits are obtained by performing a statistical combination of the three signal regions SR1h, SR1Z and SR2. The ± 1σ variation on the expected limit is shown. The dotted lines indicate the observed limit obtained by a variation of theoretical prediction for the neutralino production cross-section by ±1 σ. Values of B(χ̃⁰₁ → hG̃ ) larger than the observed 95% CL limit are excluded, as indicated by the hatched area.

Observed and expected 95% CL limits on the pure-higgsino branching fraction to B(χ̃⁰₁ → hG̃ ) as a function of the higgsino mass m(χ̃⁰₁) assuming it decays via either χ̃⁰₁→ hG̃ or χ̃⁰₁→ ZG̃. Limits are obtained by performing a statistical combination of the three signal regions SR1h, SR1Z and SR2. The ± 1σ variation on the expected limit is shown. The dotted lines indicate the observed limit obtained by a variation of theoretical prediction for the neutralino production cross-section by ±1 σ. Values of B(χ̃⁰₁ → hG̃ ) larger than the observed 95% CL limit are excluded, as indicated by the hatched area.

Observed and expected 95% CL limits on the pure-higgsino branching fraction to B(χ̃⁰₁ → hG̃ ) as a function of the higgsino mass m(χ̃⁰₁) assuming it decays via either χ̃⁰₁→ hG̃ or χ̃⁰₁→ ZG̃. Limits are obtained by performing a statistical combination of the three signal regions SR1h, SR1Z and SR2. The ± 1σ variation on the expected limit is shown. The dotted lines indicate the observed limit obtained by a variation of theoretical prediction for the neutralino production cross-section by ±1 σ. Values of B(χ̃⁰₁ → hG̃ ) larger than the observed 95% CL limit are excluded, as indicated by the hatched area.

Observed and expected 95% CL limits on the pure-higgsino branching fraction to B(χ̃⁰₁ → hG̃ ) as a function of the higgsino mass m(χ̃⁰₁) assuming it decays via either χ̃⁰₁→ hG̃ or χ̃⁰₁→ ZG̃. Limits are obtained by performing a statistical combination of the three signal regions SR1h, SR1Z and SR2. The ± 1σ variation on the expected limit is shown. The dotted lines indicate the observed limit obtained by a variation of theoretical prediction for the neutralino production cross-section by ±1 σ. Values of B(χ̃⁰₁ → hG̃ ) larger than the observed 95% CL limit are excluded, as indicated by the hatched area.

Observed and expected 95% CL limits on the pure-higgsino branching fraction to B(χ̃⁰₁ → hG̃ ) as a function of the higgsino mass m(χ̃⁰₁) assuming it decays via either χ̃⁰₁→ hG̃ or χ̃⁰₁→ ZG̃. Limits are obtained by performing a statistical combination of the three signal regions SR1h, SR1Z and SR2. The ± 1σ variation on the expected limit is shown. The dotted lines indicate the observed limit obtained by a variation of theoretical prediction for the neutralino production cross-section by ±1 σ. Values of B(χ̃⁰₁ → hG̃ ) larger than the observed 95% CL limit are excluded, as indicated by the hatched area.

Numbers of signal and background events in the signal regions. The respective background estimation techniques are applied. The background category "h (other)" includes events originating from VBF, Vh, ggF, thq, thW and bb&#772;h, all subdominant in this signature. The different backgrounds are stacked to add up to the total Standard Model prediction in each bin. The predicted yields for signal benchmark models of varying &chi;&#771;⁰₁ mass are also plotted (not stacked), assuming B(&chi;&#771;⁰₁ &rarr; hG&#771; )=100% and a &chi;&#771;⁰₁ mass of 130 or 200 GeV. The statistical and systematic uncertainties are indicated by the shaded areas in the top plot. The bottom panel shows the statistical significance&nbsp;<a href="https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PUBNOTES/ATL-PHYS-PUB-2020-025/">[Ref]</a> of the difference between the SM prediction and the observed data in each region.

Observed 95% CL limits in pb on the pure higgsino cross-section, shown in the m(&chi;&#771;⁰₁)-B(&chi;&#771;⁰₁ &rarr; hG&#771; ) plane. Limits are obtained by a statistical combination of the three signal regions SR1h, SR1Z and SR2, assuming the neutralino to decay via either &chi;&#771;⁰₁&rarr; hG&#771; or &chi;&#771;⁰₁&rarr; ZG&#771;.

Acceptances for all signal model points considered in the analysis, shown in the m(&chi;&#771;⁰₁)-B(&chi;&#771;⁰₁ &rarr; hG&#771; ) plane. Acceptances are provided separately for signal region SR1h, assuming the neutralino to decay via either &chi;&#771;⁰₁&rarr; hG&#771; or &chi;&#771;⁰₁&rarr; ZG&#771;.

Acceptances for all signal model points considered in the analysis, shown in the m(&chi;&#771;⁰₁)-B(&chi;&#771;⁰₁ &rarr; hG&#771; ) plane. Acceptances are provided separately for signal region SR1Z, assuming the neutralino to decay via either &chi;&#771;⁰₁&rarr; hG&#771; or &chi;&#771;⁰₁&rarr; ZG&#771;.

Acceptances for all signal model points considered in the analysis, shown in the m(&chi;&#771;⁰₁)-B(&chi;&#771;⁰₁ &rarr; hG&#771; ) plane. Acceptances are provided separately for signal region SR2, assuming the neutralino to decay via either &chi;&#771;⁰₁&rarr; hG&#771; or &chi;&#771;⁰₁&rarr; ZG&#771;.

Efficiencies for all signal model points considered in the analysis, shown in the m(&chi;&#771;⁰₁)-B(&chi;&#771;⁰₁ &rarr; hG&#771; ) plane. Efficiencies are provided separately for signal region SR1h, assuming the neutralino to decay via either &chi;&#771;⁰₁&rarr; hG&#771; or &chi;&#771;⁰₁&rarr; ZG&#771;.

Efficiencies for all signal model points considered in the analysis, shown in the m(&chi;&#771;⁰₁)-B(&chi;&#771;⁰₁ &rarr; hG&#771; ) plane. Efficiencies are provided separately for signal region SR1Z, assuming the neutralino to decay via either &chi;&#771;⁰₁&rarr; hG&#771; or &chi;&#771;⁰₁&rarr; ZG&#771;.

Efficiencies for all signal model points considered in the analysis, shown in the m(&chi;&#771;⁰₁)-B(&chi;&#771;⁰₁ &rarr; hG&#771; ) plane. Efficiencies are provided separately for signal region SR2, assuming the neutralino to decay via either &chi;&#771;⁰₁&rarr; hG&#771; or &chi;&#771;⁰₁&rarr; ZG&#771;.

Observed and expected numbers of events in the three signal regions. The background category "h (other)" includes events originating from VBF, Vh, ggF, thq, thW and bb&#772;h, all subdominant in this signature. The table also includes model-independent 95% CL upper limits on the visible number of BSM events (S⁹⁵_obs), the number of BSM events given the expected number of background events (S⁹⁵_exp) and the visible BSM cross-section (&lang;&epsilon; &sigma;&rang;_obs⁹⁵), all calculated from pseudo-experiments. The discovery p-value (p₀) is also shown and its value is capped at 0.5 if the observed number of events is below the expected number of events.

Cutflows of two benchmark signal points assuming B(&chi;&#771;⁰₁ &rarr; hG&#771; )=100% for all three discovery signal regions. The initial selection includes the leptons veto. Only statistical uncertainties are included. Expected yields are normalised to a luminosity of 139 fb^-1.

Measured total $t\bar{t}\gamma$ production and decay fiducial inclusive cross-sections in both decay channels and in the combination.

Summary of the impact of the systematic uncertainties on the $t\bar{t}\gamma$ fiducial inclusive cross-section in the single-lepton and dilepton channels and their combination grouped into different categories. The quoted relative uncertainties are obtained by repeating the fit, fixing a set of nuisance parameters of the sources corresponding to each category to their post-fit values, and subtracting in quadrature the resulting uncertainty from the total uncertainty of the nominal fit. The total uncertainty is different from the sum in quadrature of the components due to correlations among nuisance parameters.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,l)$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,l)$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l)_{min}$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l)_{min}$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in the combined fiducial phase space of the single-lepton and dilepton channels as a function of the photon $p_T$. The last bin of the distributions includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in the combined fiducial phase space of the single-lepton and dilepton channels as a function of the photon $p_T$. The last bin of the distributions includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in the combined fiducial phase space of the single-lepton and dilepton channels as a function of the photon $|\eta|$.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in the combined fiducial phase space of the single-lepton and dilepton channels as a function of the photon $|\eta|$.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $|\eta(\gamma)|$.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $|\eta(\gamma)|$.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,l)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(\gamma,l)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $|\Delta \eta(l,l)|$ . The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $|\Delta \eta(l,l)|$ . The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta \phi(l,l)$ . The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta \phi(l,l)$ . The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $p_T(l,l)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $p_T(l,l)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l_1)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l_1)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l_2)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l_2)$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $|\eta(\gamma)|$.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $|\eta(\gamma)|$.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the single-lepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $|\eta(\gamma)|$.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $|\eta(\gamma)|$.

Absolute $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Normalised $t\bar{t}\gamma$ production differential cross-sections measured in fiducial phase space in the dilepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $p_T(\gamma)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $|\eta(\gamma)|$.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $|\eta(\gamma)|$.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the single-lepton channel as a function of the $p_T(j_1)$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,b)_{min}$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l)_{min}$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(\gamma,l)_{min}$. The last bin of the distribution includes the overflow events.

Absolute differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Normalised differential cross-section of the total $t\bar{t}\gamma$ production and decay measured in fiducial phase space in the dilepton channel as a function of the $\Delta R(l,j)_{min}$. The last bin of the distribution includes the overflow events.

Observed and expected 68% and 95% credible intervals on $C/\Lambda^2\ [\text{TeV}^{-2} ]$ for the $C_{tW}$ operators and $C_{tB}$ obtained from the $t\bar{t}\gamma$ measurement, comparing the results obtained from the marginalised quadratic fit (‘marg.’) and the independent quadratic fits (‘indep.’). Also shown are the best-fit values (global mode) for each operator.

Observed and expected 68% and 95% credible intervals on $C/\Lambda^2\ [\text{TeV}^{-2} ]$ for the $C_{tW}$ operators and $C_{tB}$ obtained from a combined $t\bar{t}Z$ and $t\bar{t}\gamma$ measurements comparing the results obtained from the marginalised global quadratic fit (‘marg.’) and the independent quadratic fits (‘indep.’). Also shown are the best-fit values (global mode) for each operator.

Contributions of the systematic uncertainties grouped in categories in each bin of the measurement of the absolute $t\bar{t}\gamma$ production differential cross-sections measured in the combined fiducial phase space of the single-lepton and dilepton channels as a function of the photon $p_T$. The relative uncertainties quoted are obtained by repeating the fit, fixing the set of nuisance parameters of the sources corresponding to each category to their post-fit values, and subtracting in quadrature the resulting uncertainty from the total uncertainty of the nominal fit.

Contributions of the systematic uncertainties grouped in categories in each bin of the measurement of the absolute $t\bar{t}\gamma$ production differential cross-sections measured in the combined fiducial phase space of the single-lepton and dilepton channels as a function of the photon $\eta$. The relative uncertainties quoted are obtained by repeating the fit, fixing the set of nuisance parameters of the sources corresponding to each category to their post-fit values, and subtracting in quadrature the resulting uncertainty from the total uncertainty of the nominal fit.

The measured $p_\text{T}^\text{recoil}$ differential cross-sections in the $2\mu+\text{jets}$ region of the incluse jet phase space, compared with the SM predictions. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $p_\text{T}^\text{recoil}$ differential cross-sections in the $2e+\text{jets}$ region of the incluse jet phase space, compared with the SM predictions. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the inclusive jet phase space for $1\mu+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the inclusive jet phase space for $1e+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the inclusive jet phase space for $2\mu+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the inclusive jet phase space for $2e+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $p_\text{T}^\text{miss}$ differential cross-sections in the $p_\text{T}^\text{miss}+\text{jets}$ region of the VBF phase spaces, compared with the SM predictions. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $p_\text{T}^\text{recoil}$ differential cross-sections in the $1\mu+\text{jets}$ region of the VBF phase space, compared with the SM predictions. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $p_\text{T}^\text{recoil}$ differential cross-sections in the $1e+\text{jets}$ region of the VBF phase space, compared with the SM predictions. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $p_\text{T}^\text{recoil}$ differential cross-sections in the $2\mu+\text{jets}$ region of the VBF phase space, compared with the SM predictions. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $p_\text{T}^\text{recoil}$ differential cross-sections in the $2e+\text{jets}$ region of the VBF phase space, compared with the SM predictions. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the VBF phase space for $1\mu+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the VBF phase space for $1e+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the VBF phase space for $2\mu+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $p_\text{T}^\text{recoil}$ in the VBF phase space for $2e+\text{jets}$. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $m_{jj}$ distribution in the VBF phase space compared with the SM predictions, for the $p_\text{T}^\text{miss}+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $m_{jj}$ distribution in the VBF phase space compared with the SM predictions, for the $1\mu+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $m_{jj}$ distribution in the VBF phase space compared with the SM predictions, for the $1e+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $m_{jj}$ distribution in the VBF phase space compared with the SM predictions, for the $2\mu+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $m_{jj}$ distribution in the VBF phase space compared with the SM predictions, for the $2e+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $m_{jj}$ in the $1\mu+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $m_{jj}$ in the $e+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $m_{jj}$ in the $2\mu+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $m_{jj}$ in the $2e+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $\Delta\phi_{jj}$ distributions in the VBF phase space compared with the SM predictions for the $p_\text{T}^\text{miss}+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $\Delta\phi_{jj}$ distributions in the VBF phase space compared with the SM predictions for the $1\mu+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $\Delta\phi_{jj}$ distributions in the VBF phase space compared with the SM predictions for the $1e+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $\Delta\phi_{jj}$ distributions in the VBF phase space compared with the SM predictions for the $2\mu+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured $\Delta\phi_{jj}$ distributions in the VBF phase space compared with the SM predictions for the $2e+\text{jets}$ region. The middle panels show the ratios of the predictions to the data, along with their uncertainties, while the lower panels show the relative contributions from different SM processes relative to the total MEPS@NLO prediction. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $\Delta\phi_{jj}$ in the $1\mu+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $\Delta\phi_{jj}$ in the $1e+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $\Delta\phi_{jj}$ in the $2\mu+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

Comparison with SM predictions of the $\text{R}_\text{miss}$ ratios of the measured differential cross-sections for $\Delta\phi_{jj}$ in the $2e+\text{jets}$ region of the VBF phase space. The bottom panels show the ratios of the predictions to the data, along with their uncertainties. Note that individually numbered PDF components ('dK_PDF_') in the uncertainty breakdown correspond to NNPDF Hessian eigenvectors. Uncertainty components labeled 'VV_dK' include Vjj processes.

The measured Z &rarr; &nu;&nu; cross-section, differential in p_T^Z in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

The measured Z &rarr; &nu;&nu; cross-section, differential in p_T^Z in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

The measured Z &rarr; &nu;&nu; cross-section, differential in p_T^Z in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

The measured Z &rarr; &nu;&nu; cross-section, differential in p_T^Z in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the inclusive jet phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets,(e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured m_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured &Delta;&phi;_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets (b) &gamma;+jets (c) 2e+jets (d) 2&mu;+jets (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the inclusive jet phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets,(e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured m_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured &Delta;&phi;_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets (b) &gamma;+jets (c) 2e+jets (d) 2&mu;+jets (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the inclusive jet phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets,(e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured m_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured &Delta;&phi;_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets (b) &gamma;+jets (c) 2e+jets (d) 2&mu;+jets (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the inclusive jet phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets,(e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured p_T^Z, p_T^W and p_T^&gamma; differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured m_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets, (b) &gamma;+jets, (c) 2e+jets, (d) 2&mu;+jets, (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured &Delta;&phi;_jj differential cross-sections in the VBF phase spaces compared with the SM predictions: (a) p_T^miss+jets (b) &gamma;+jets (c) 2e+jets (d) 2&mu;+jets (e) e+jets and (f) &mu;+jets. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red shading).

The measured &gamma;+jets cross-section, differential in p_T^&gamma; in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

The measured &gamma;+jets cross-section, differential in p_T^&gamma; in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

The measured &gamma;+jets cross-section, differential in p_T^&gamma; in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

The measured &gamma;+jets cross-section, differential in p_T^&gamma; in the (a) single jet and (b) VBF phase spaces, and differential in (c) m_jj and (d) &Delta;&phi;_jj in the VBF phase space, compared with the SM predictions. The lower panels show the ratios of the predictions to the data, along with the data statistical uncertainties (black bars) and systematic uncertainties (red hatched band).

SM processes contributing to the fiducial SM predictions shown in Figure 7a

SM processes contributing to the fiducial SM predictions shown in Figure 7b

SM processes contributing to the fiducial SM predictions shown in Figure 8a

SM processes contributing to the fiducial SM predictions shown in Figure 8b

SM processes contributing to the fiducial SM predictions shown in Figure 8c

SM processes contributing to the fiducial SM predictions shown in Figure 8d

SM processes contributing to the fiducial SM predictions shown in Figure 9a

SM processes contributing to the fiducial SM predictions shown in Figure 9b

SM processes contributing to the fiducial SM predictions shown in Figure 9c

SM processes contributing to the fiducial SM predictions shown in Figure 9d

SM processes contributing to the fiducial SM predictions shown in Figure 3b of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 3c of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 3d of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 3e of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 5b of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 5c of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 5d of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 7b of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 7c of Auxiliary Material

SM processes contributing to the fiducial SM predictions shown in Figure 7d of Auxiliary Material

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, $\geq 1$ jet phase space (Figure 7a) and $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, $\geq 1$ jet phase space (Figure 7a).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, $\geq 1$ jet phase space (Figure 7a) and $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 7b).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, $\geq 1$ jet phase space (Figure 7a) and $m_{\text jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9a).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, $\geq 1$ jet phase space (Figure 7a) and $\Delta\phi_\text{jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9b).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, $\geq 1$ jet phase space (Figure 8c) and $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, $\geq 1$ jet phase space (Figure 8c).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, $\geq 1$ jet phase space (Figure 8c) and $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, VBF phase space (Figure 3d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, $\geq 1$ jet phase space (Figure 8c) and $m_{\text jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 5d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, $\geq 1$ jet phase space (Figure 8c) and $\Delta\phi_\text{jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 7d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 1e + jets region, $\geq 1$ jet phase space (Figure 8a) and $p_\text{T}^\text{recoil}$ observable, 1e + jets region, $\geq 1$ jet phase space (Figure 8a).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 1e + jets region, $\geq 1$ jet phase space (Figure 8a) and $p_\text{T}^\text{recoil}$ observable, 1e + jets region, VBF phase space (Figure 3b (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 1e + jets region, $\geq 1$ jet phase space (Figure 8a) and $m_{\text jj}$ observable, 1e + jets region, VBF phase space (Figure 5b (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 1e + jets region, $\geq 1$ jet phase space (Figure 8a) and $\Delta\phi_\text{jj}$ observable, 1e + jets region, VBF phase space (Figure 7b (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, $\geq 1$ jet phase space (Figure 8d) and $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, $\geq 1$ jet phase space (Figure 8d).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, $\geq 1$ jet phase space (Figure 8d) and $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, VBF phase space (Figure 3e (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, $\geq 1$ jet phase space (Figure 8d) and $m_{\text jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9c).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, $\geq 1$ jet phase space (Figure 8d) and $\Delta\phi_\text{jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9d).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 2e + jets region, $\geq 1$ jet phase space (Figure 8b) and $p_\text{T}^\text{recoil}$ observable, 2e + jets region, $\geq 1$ jet phase space (Figure 8b).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 2e + jets region, $\geq 1$ jet phase space (Figure 8b) and $p_\text{T}^\text{recoil}$ observable, 2e + jets region, VBF phase space (Figure 3c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 2e + jets region, $\geq 1$ jet phase space (Figure 8b) and $m_{\text jj}$ observable, 2e + jets region, VBF phase space (Figure 5c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 2e + jets region, $\geq 1$ jet phase space (Figure 8b) and $\Delta\phi_\text{jj}$ observable, 2e + jets region, VBF phase space (Figure 7c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, $\geq 1$ jet phase space (Figure 2c (aux)) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, $\geq 1$ jet phase space (Figure 2c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, $\geq 1$ jet phase space (Figure 10a) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, $\geq 1$ jet phase space (Figure 10a).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, $\geq 1$ jet phase space (Figure 2d (aux)) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, $\geq 1$ jet phase space (Figure 2d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, $\geq 1$ jet phase space (Figure 10b) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, $\geq 1$ jet phase space (Figure 10b).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 7b) and $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 7b).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 7b) and $m_{\text jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9a).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 7b) and $\Delta\phi_\text{jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9b).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, VBF phase space (Figure 3d (aux)) and $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, VBF phase space (Figure 3d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, VBF phase space (Figure 3d (aux)) and $m_{\text jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 5d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $1\mu$ + jets region, VBF phase space (Figure 3d (aux)) and $\Delta\phi_\text{jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 7d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 1e + jets region, VBF phase space (Figure 3b (aux)) and $p_\text{T}^\text{recoil}$ observable, 1e + jets region, VBF phase space (Figure 3b (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 1e + jets region, VBF phase space (Figure 3b (aux)) and $m_{\text jj}$ observable, 1e + jets region, VBF phase space (Figure 5b (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 1e + jets region, VBF phase space (Figure 3b (aux)) and $\Delta\phi_\text{jj}$ observable, 1e + jets region, VBF phase space (Figure 7b (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, VBF phase space (Figure 3e (aux)) and $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, VBF phase space (Figure 3e (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, VBF phase space (Figure 3e (aux)) and $m_{\text jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9c).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $2\mu$ + jets region, VBF phase space (Figure 3e (aux)) and $\Delta\phi_\text{jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9d).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 2e + jets region, VBF phase space (Figure 3c (aux)) and $p_\text{T}^\text{recoil}$ observable, 2e + jets region, VBF phase space (Figure 3c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 2e + jets region, VBF phase space (Figure 3c (aux)) and $m_{\text jj}$ observable, 2e + jets region, VBF phase space (Figure 5c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, 2e + jets region, VBF phase space (Figure 3c (aux)) and $\Delta\phi_\text{jj}$ observable, 2e + jets region, VBF phase space (Figure 7c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, VBF phase space (Figure 4c (aux)) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, VBF phase space (Figure 4c (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, VBF phase space (Figure 4a (aux)) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, VBF phase space (Figure 4a (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, VBF phase space (Figure 4d (aux)) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, VBF phase space (Figure 4d (aux)).

Statistical correlations between $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, VBF phase space (Figure 4b (aux)) and $p_\text{T}^\text{recoil}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, VBF phase space (Figure 4b (aux)).

Statistical correlations between $m_{\text jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9a) and $m_{\text jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9a).

Statistical correlations between $m_{\text jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9a) and $\Delta\phi_\text{jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9b).

Statistical correlations between $m_{\text jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 5d (aux)) and $m_{\text jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 5d (aux)).

Statistical correlations between $m_{\text jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 5d (aux)) and $\Delta\phi_\text{jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 7d (aux)).

Statistical correlations between $m_{\text jj}$ observable, 1e + jets region, VBF phase space (Figure 5b (aux)) and $m_{\text jj}$ observable, 1e + jets region, VBF phase space (Figure 5b (aux)).

Statistical correlations between $m_{\text jj}$ observable, 1e + jets region, VBF phase space (Figure 5b (aux)) and $\Delta\phi_\text{jj}$ observable, 1e + jets region, VBF phase space (Figure 7b (aux)).

Statistical correlations between $m_{\text jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9c) and $m_{\text jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9c).

Statistical correlations between $m_{\text jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9c) and $\Delta\phi_\text{jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9d).

Statistical correlations between $m_{\text jj}$ observable, 2e + jets region, VBF phase space (Figure 5c (aux)) and $m_{\text jj}$ observable, 2e + jets region, VBF phase space (Figure 5c (aux)).

Statistical correlations between $m_{\text jj}$ observable, 2e + jets region, VBF phase space (Figure 5c (aux)) and $\Delta\phi_\text{jj}$ observable, 2e + jets region, VBF phase space (Figure 7c (aux)).

Statistical correlations between $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, VBF phase space (Figure 6c (aux)) and $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, VBF phase space (Figure 6c (aux)).

Statistical correlations between $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, VBF phase space (Figure 6a (aux)) and $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, VBF phase space (Figure 6a (aux)).

Statistical correlations between $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, VBF phase space (Figure 10c) and $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, VBF phase space (Figure 10c).

Statistical correlations between $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, VBF phase space (Figure 6b (aux)) and $m_{\text jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, VBF phase space (Figure 6b (aux)).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9b) and $\Delta\phi_\text{jj}$ observable, $p_\text{T}^\text{miss}$ + jets region, VBF phase space (Figure 9b).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 7d (aux)) and $\Delta\phi_\text{jj}$ observable, $1\mu$ + jets region, VBF phase space (Figure 7d (aux)).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, 1e + jets region, VBF phase space (Figure 7b (aux)) and $\Delta\phi_\text{jj}$ observable, 1e + jets region, VBF phase space (Figure 7b (aux)).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9d) and $\Delta\phi_\text{jj}$ observable, $2\mu$ + jets region, VBF phase space (Figure 9d).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, 2e + jets region, VBF phase space (Figure 7c (aux)) and $\Delta\phi_\text{jj}$ observable, 2e + jets region, VBF phase space (Figure 7c (aux)).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, VBF phase space (Figure 8c (aux)) and $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $1\mu$ + jets region, VBF phase space (Figure 8c (aux)).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, VBF phase space (Figure 8a (aux)) and $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 1e + jets region, VBF phase space (Figure 8a (aux)).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, VBF phase space (Figure 10d) and $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ $2\mu$ + jets region, VBF phase space (Figure 10d).

Statistical correlations between $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, VBF phase space (Figure 8b (aux)) and $\Delta\phi_\text{jj}$ observable, $\text{R}_\text{miss}$ observable, $R_{miss}$ 2e + jets region, VBF phase space (Figure 8b (aux)).

The impact of the eight most important systematic uncertainties on \(R_t\), in %.

The post-fit yields in the two SRs. All uncertainties applied in the analysis are included.

Limits on EFT parameters and Vtb extracted from the analysis. The upper and lower limits correspond to 95% CL.

Results of the main analysis.

Pre-fit distribution of the NN discriminant \(D_{\text{nn}}\) in SR plus.

Post-fit distribution of the NN discriminant \(D_{\text{nn}}\) in SR plus.

Post-fit distribution of the \(\Delta\phi(\vec{p}_{T}^{miss},\mu)\) variable in the muon-plus CR.

Pre-fit distribution of the NN discriminant \(D_{\text{nn}}\) in SR minus.

Post-fit distribution of the NN discriminant \(D_{\text{nn}}\) in SR minus.

Post-fit distribution of the \(\Delta\phi(\vec{p}_{T}^{miss},\mu)\) variable in the muon-minus CR.

Pre-fit distribution of the invariant mass of the untagged jet and the b-tagged jet, \(m(jb)\), in SR plus.

Pre-fit distribution of the absolute value of the pseudorapidity of the untagged jet, \(|\eta(j)|\), in SR plus.

Pre-fit distribution of the absolute value of the difference in \(p_{\text{T}}\) between the reconstructed W boson and the jet pair, \(|\Delta p_{\text{T}}(W, jb)|\), in SR plus.

Pre-fit distribution of the difference in azimuth angle between the reconstructed W boson and the jet pair, \(|\Delta\phi(W, jb)|\), in SR plus.

Pre-fit distribution of the invariant mass of the reconstructed top quark, \(m(t)\), in SR plus.

Pre-fit distribution of the absolute value of the difference in pseudorapidity between the charged lepton and the untagged jet, \(|\Delta\eta(\ell ,j)|\), SR plus.

Pre-fit distribution of the angular distance of the charged lepton and the untagged jet, \(\Delta R(\ell ,j)\), in SR plus.

Pre-fit distribution of the absolute value of the difference in pseudorapidity between the b-tagged jet and the charged lepton, \(|\Delta\eta(b,\ell )|\), in SR plus.

Observed and expected 95% CL upper limits on the visible $\tau\nu$ production cross section, $\sigma_{\rm vis} = \sigma(pp \to \tau\nu +X) \cdot \mathcal{A} \cdot \varepsilon$, for $m_{\rm T}$ thresholds ranging from 200 to 2950 GeV. See HepData abstract for details on how to use this data for reinterpretation.

Observed 95% CL upper limits on the cross-section times branching ratio as a function of the W′ mass in several NUGIM models defined by the value of the parameter cot$\theta$.

Expected 95% CL upper limits on the cross-section times branching ratio as a function of the W′ mass in several NUGIM models defined by the value of the parameter cot$\theta$.

Acceptance for $W^{\prime}_{\rm SSM}$ as a function of the $W^{\prime}_{\rm SSM}$ mass, shown after successively applying selection at generator-level. The acceptance times efficiency is calculated with respect to all $W^{\prime}_{\rm SSM} \to \tau\nu$ events with a generated $\tau\nu$ mass above 25 GeV. The "selected tau" criteria include the requirement of a $\tau_{\rm had-vis}$ with $p_{\rm T}$ > 30 GeV and $|\eta|$ < 2.4.

Acceptance times efficiency for $W^{\prime}_{\rm SSM}$ as a function of the $W^{\prime}_{\rm SSM}$ mass, shown after successively applying selection at reconstruction-level. The acceptance times efficiency is calculated with respect to all $W^{\prime}_{\rm SSM} \to \tau\nu$ events with a generated $\tau\nu$ mass above 25 GeV. "Preselection" includes all criteria prior to those shown.