Distribution of the NN output in the $\geq$1fj$\,$SR in data and the expected contribution of the signal and background processes after the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions considering the correlations of the uncertainties as obtained by the fit.

Distribution of the NN output in the $t\bar{t}\gamma\,$CR in data and the expected contribution of the signal and background processes after the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions considering the correlations of the uncertainties as obtained by the fit.

Total event yield in the $W\gamma\,$CR in data and the expected contribution of the signal and background processes after the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions considering the correlations of the uncertainties as obtained by the fit.

Distribution of the scalar sum of the jet transverse momenta in the 0fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions. The first and last bins include the underflow and overflow, respectively.

Distribution of the $\eta$ of the $b$-tagged jet in the 0fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions.

Distribution of the reconstructed top-quark mass in the 0fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions. The first and last bins include the underflow and overflow, respectively.

Distribution of the $p_{\mathrm{T}}$ of the top-quark+photon system in the 0fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of the photon $p_{\mathrm{T}}$ in the 0fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of the photon $\eta$ in the 0fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions.

Distribution of the scalar sum of the jet transverse momenta in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of the invariant mass of the $b$-tagged jet and the highest-$p_{\mathrm{T}}$ forward jet in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of $p_{\mathrm{T}}$ of the highest-$p_{\mathrm{T}}$ forward jet in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of the difference in $\eta$ between the highest-$p_{\mathrm{T}}$ forward jet and the photon in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of the energy of the system formed by the highest-$p_{\mathrm{T}}$ forward jet and the photon in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions. The first and last bins include the underflow and overflow, respectively.

Distribution of the $\eta$ of the $b$-tagged jet in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions.

Distribution of the reconstructed top-quark mass in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions. The first and last bins include the underflow and overflow, respectively.

Distribution of the $p_{\mathrm{T}}$ of the top-quark and photon system in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of the photon $p_{\mathrm{T}}$ in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions and the last bin includes the overflow.

Distribution of the photon $\eta$ in the $\geq$1fj$\,$SR in data and for the sum of all processes expectations before the profile-likelihood fit. The "Total" column corresponds to the sum of the expected contributions from the signal and background processes. The uncertainty represents the sum of statistical and systematic uncertainties in the signal and background predictions.

Ordered list of the 30 systematic uncertainties with the largest impact on the measured signal normalisation in the fit to data in the parton-level measurement considered as nuisance parameters (NPs) in the profile-likelihood fit. The column "NP value, error" corresponds to the nominal best-fit values and the corresponding uncertainties. The impact of each NP, $\Delta\sigma$/$\sigma_{\mathrm{pred}}$, is computed by comparing the nominal best-fit value of the POI ($\sigma$/$\sigma_{\mathrm{pred}}$) with the result of the fits when fixing the considered NP to its best-fit value shifted by its pre-fit and post-fit uncertainties. The corresponding impacts are listed in the "POI impact prefit high/low" and "POI impact high/low" columns, respectively. The "MC stat." NPs represent the MC statistical uncertainty and they enter the likelihood with a Poisson term, while all the other NPs enter the likelihood via a Gaussian term.

Ordered list of the 30 systematic uncertainties with the largest impact on the measured signal normalisation in the fit to data in the particle-level measurement considered as nuisance parameters (NPs) in the profile-likelihood fit. The column "NP value, error" corresponds to the nominal best-fit values and the corresponding uncertainties. The impact of each NP, $\Delta\sigma$/$\sigma_{\mathrm{pred}}$, is computed by comparing the nominal best-fit value of the POI ($\sigma$/$\sigma_{\mathrm{pred}}$) with the result of the fits when fixing the considered NP to its best-fit value shifted by its pre-fit and post-fit uncertainties. The corresponding impacts are listed in the "POI impact prefit high/low" and "POI impact high/low" columns, respectively. The "MC stat." NPs represent the MC statistical uncertainty and they enter the likelihood with a Poisson term, while all the other NPs enter the likelihood via a Gaussian term.

This table lists the kinematic requirements on parton-level objects used to define of the fiducial phase space for the parton-level measurement. Frixione isolation ($\href{https://arxiv.org/abs/hep-ph/9801442}{\text{hep-ph/9801442}}$) with a chosen radius of $\Delta R = 0.2$ is applied to photons ($\gamma$). The measured fiducial parton-level cross section is $\sigma_{tq\gamma}\times\mathcal{B}(t\rightarrow l\nu b) = 688\pm 23(\text{stat.})^{+75}_{-71}(\text{syst.})\,$fb.

This table lists the kinematic requirements on particle-level objects used to define of the fiducial phase space for the particle-level measurement. The particle level objects are photons ($\gamma$) not from a hadron decay, neutrinos not from a hadron decay ($\nu$), prompt electrons and muons ($\ell$) "dressed" by adding close-by ($\Delta R < 0.1$) photons, and anti-$k_t$ $R = 0.4$ jets built from stable particles ($\tau > 30\,$ps) and tau leptons excluding neutrinos and prompt dressed muons. Jets are $b$-tagged ($b$-jet) using ghost-matched $b$-hadrons with $p_{\text{T}} > 5\,$GeV. Apart from the kinematic requirements, isolation and overlap removal criteria are applied. Jets within $\Delta R = 0.4$ of a photon are removed if the $p_{\text{T}}$ of charged particles within $\Delta R = 0.3$ of the photon is smaller than $10\,\%$ of its $p_{\text{T}}$. Jets within $\Delta R = 0.4$ of a lepton are removed. Events are removed where a photon is close ($\Delta R < 0.4$) to a lepton or a surviving jet. The measured fiducial particle-level cross section is $\sigma_{tq\gamma}\times\mathcal{B}(t\rightarrow l\nu b)+\sigma_{t(\rightarrow l\nu b\gamma)q} = 303\pm 9(\text{stat.})^{+33}_{-32}(\text{syst.})\,$fb.

Distribution of ${E}_{T}^{miss}$ after the fit of the multijet backgrounds, in the electron channel, in the $t\bar{t}$ 3-jets VR, without applying the cut on ${E}_{T}^{miss}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of ${E}_{T}^{miss}$ after the fit of the multijet backgrounds, in the electron channel, in the $t\bar{t}$ 4-jets VR, without applying the cut on ${E}_{T}^{miss}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the signal region, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the $W$+jets VR, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the $t\bar{t}$ 3-jets VR, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Distribution of $m_{T}^{W}$ after the fit of the multijet backgrounds, in the muon channel, in the $t\bar{t}$ 4-jets VR, without applying the cut on $m_{T}^{W}$. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit. The last bin includes the overflow. The uncertainty band indicates the simulation's statistical uncertainty, the normalisation uncertainties for different processes ($40$ % for $W$+jets production, $30$ % for multijet background and $6$ % for top-quark processes) and the multijet background shape uncertainty in each bin, summed in quadrature. The lower panel of the figure shows the ratio of the data to the prediction.

Expected distributions of the MEM discriminant $P(S|X)$ in the SR, for the s-channel single-top signal, and for the $t\bar{t}$ and $W$+jets backgrounds, for MEM discriminant values larger than $2.0\times10^{-4}$. Each distribution is normalised to unity. The binning is the same as the optimised binning used in the signal extraction fit, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the $W$+jets VR. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit presented in Section 5 in the paper. The uncertainty band indicates the simulation's statistical uncertainty and the normalisation uncertainties for the various processes in each bin, summed in quadrature. The ratio of the observed number to the predicted number of events in each bin is shown in the lower panel of the figure, with different vertical axis ranges. The binning is the same as the optimised binning used in the signal extraction fit described in Section 8 in the paper, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the $t\bar{t}$ 3-jets VR. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit presented in Section 5 in the paper. The uncertainty band indicates the simulation's statistical uncertainty and the normalisation uncertainties for the various processes in each bin, summed in quadrature. The ratio of the observed number to the predicted number of events in each bin is shown in the lower panel of the figure, with different vertical axis ranges. The binning is the same as the optimised binning used in the signal extraction fit described in Section 8 in the paper, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the $t\bar{t}$ 4-jets VR. Simulated events are normalised to the expected number of events given the integrated luminosity, after applying the normalisation factors obtained in the multijet fit presented in Section 5 in the paper. The uncertainty bands indicate the simulation's statistical uncertainty and the normalisation uncertainties for the various processes in each bin, summed in quadrature. The ratio of the observed number to the predicted number of events in each bin is shown in the lower panel of the figure, with different vertical axis ranges. The binning is the same as the optimised binning used in the signal extraction fit described in Section 8 in the paper, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the SR before the fit to data, for MEM discriminant values larger than $2.0\times10^{-4}$. The lower panel of the figure shows the ratio of the data to the prediction, with different vertical axis ranges. The uncertainty band indicates the total uncertainties and their correlations in each bin. The uncertainties in the $t\bar{t}$ and $W$+jets normalisation factors, as well as in the s-channel signal cross-section, are not defined pre-fit and therefore not included. The binning is the same as the optimised binning used in the fit, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the SR after the fit to data, for MEM discriminant values larger than $2.0\times10^{-4}$. The lower panel of the figure shows the ratio of the data to the prediction, with different vertical axis ranges. The uncertainty band indicates the total uncertainties and their correlations in each bin. The binning is the same as the optimised binning used in the fit, resulting in a non-linear horizontal scale.

Distribution of the MEM discriminant $P(S|X)$ in the SR after the fit to data, for MEM discriminant values larger than $2.0\times10^{-4}$, after subtraction of all backgrounds. The fitted distribution for the simulation of the signal is shown together with the post-fit uncertainty in the backgrounds. The binning is the same as the optimised binning used in the fit, resulting in a non-linear horizontal scale.

Pre-fit and post-fit event yields in the SR, for MEM discriminant values larger than $2.0\times10^{-4}$. The central value of the event yield for each process is calculated by summing the values of the discriminant bin contents, using the nominal expected yield for the pre-fit value, and the best-fit estimate for the post-fit value. The error includes statistical and systematic uncertainties summed in quadrature. All sources of systematic uncertainties are included, taking into account correlations and anti-correlations in the post-fit case. The uncertainties in the $t\bar{t}$ and $W$+jets normalisation factors, as well as in the s-channel signal cross-section, are not defined pre-fit and therefore only included in the post-fit uncertainties.

Observed impact of the different sources of uncertainty on the measured s-channel signal cross-section, grouped by categories. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. The 'Systematic uncertainties' category combines all sources of systematic uncertainties. The statistical uncertainty is obtained by repeating the fit after having fixed all nuisance parameters, including the $t\bar{t}$ and $W$+jets normalisation factors. 'Total' gives the total uncertainty on the measurement.

Observed impact of the different sources of $t\bar{t}$ modelling uncertainty on the measured s-channel signal cross-section. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, and 'ME/PS matching' to the matching of the ME to the parton shower.

Observed impact of the different sources of s-channel modelling uncertainty on the measured s-channel signal cross-section. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, as described in Section 7 in the paper.

Observed impact of the different sources of t-channel modelling uncertainty on the measured s-channel signal cross-section. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, as described in Section 7 in the paper.

Observed impact of the different sources of $tW$ modelling uncertainty on the measured s-channel signal cross-section, grouped by categories. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root. 'PS & had.' refers to the parton shower and hadronisation model, and '$t\bar{t}$ overlap' to the algorithm removing the overlap between $tW$ and $t\bar{t}$ production at NLO, as described in Section 7 in the paper.

Observed impact of the different sources of PDF uncertainties on the measured s-channel signal cross-section, grouped by categories. The impact of each category is obtained by repeating the fit after having fixed the set of nuisance parameters corresponding to that category, subtracting the square of the resulting uncertainty from the square of the uncertainty found in the full fit, and calculating the square root.

Comparison between data and prediction after the fit to data in the signal region for the leading-jet $p_{T}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the leading-jet $\eta$. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the subleading-jet $p_{T}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the subleading-jet $\eta$. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the lepton $p_{T}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the lepton $\eta$. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the ${E}_{T}^{miss}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Comparison between data and prediction after the fit to data in the signal region for the $m_{T}^{W}$. The last bin includes the overflow. The uncertainty band includes all uncertainties and their correlations. The lower panel of the figure shows the ratio of the data to the prediction.

Nuisance parameters ranked according to their post-fit impacts on the best-fit value of the ratio $\mu$ of the measured cross-section to the predicted cross-section. In the figure, only the 20 nuisance parameters with the largest post-fit impacts are shown. The empty (solid) blue rectangles illustrate the pre-fit (post-fit) impact on $\mu$, corresponding to the upper axis. The pre-fit (post-fit) impact of each nuisance parameter, $\Delta\mu$, is calculated as the difference in the fitted value of $\mu$ between the nominal fit and the fit when fixing the corresponding nuisance parameter to $\hat{\theta}\pm\Delta\theta$ ($\hat{\theta}\pm\Delta\hat{\theta}$), where $\hat{\theta}$ is the best-fit value of the nuisance parameter and $\Delta\theta$ ($\Delta\hat{\theta}$) is its pre-fit (post-fit) uncertainty. Several systematic uncertainties are split into different nuisance parameters, which are indicated by NP. JES (JER) indicates jet energy scale (resolution), and $\gamma$ indicates a nuisance parameter associated to the MC statistics in one of the 18 bins numbered from 0 to 17. The black points show the best-fit values of the nuisance parameters, with the error bars representing the post-fit uncertainties. Each nuisance parameter is shown wrt. its nominal value, $\theta_0$, and in units of its pre-fit uncertainty, except the free-floating normalisation factors of the $t\bar{t}$ and $W$+jets backgrounds, and the parameters associated to the MC statistics in each bin, for which the post-fit values and uncertainties are shown.

Correlation matrix of the nuisance parameters and of the ratio $\mu$ of the measured cross-section to the predicted cross-section. The correlations are given after the fit to data. In the figure, only the parameters which have a correlation of at least 0.2 with any other parameter are shown.

Distribution of the MEM discriminant $P(S|X)$ in the SR for MEM discriminant values larger than $2.0\times10^{-4}$, for the collision data used for the measurement, and for 1000 pseudo-data replicas, generated using a bootstrapping technique, in order to assess the statistical correlations between this measurement and others, for the purpose of combinations. The replicas are obtained by reweighting each observed data event by a random integer generated according to Poisson statistics, using the <a href="https://zenodo.org/record/5361038">BootstrapGenerator</a> software package , which implements a technique described in <a href="https://cds.cern.ch/record/2759945/">ATL-PHYS-PUB-2021-011</a>. The ATLAS event number and run number of each event are used as seed to uniquely but reproducibly initialise the random number generator for each event. Each pseudo-data replica is assigned an index, ranging from 0 to 999, corresponding to the random number index used consistently for each observed data event.

Measured values of the signal cross-section and of the $t\bar{t}$ and $W$+jets normalisation factors, obtained by statistical-only fits to the collision data used for the measurement, and to 1000 pseudo-data replicas, generated using a bootstrapping technique, in order to assess the statistical correlations between this measurement and others, for the purpose of combinations. The central values and their statistical uncertainties are obtained by repeating the fit after having fixed all nuisance parameters, except the $t\bar{t}$ and $W$+jets normalisation factors, which are let free-floating (unlike for the statistical uncertainty on the cross-section quoted in the paper). The replicas are obtained by reweighting each observed data event by a random integer generated according to Poisson statistics, using the <a href="https://zenodo.org/record/5361038">BootstrapGenerator</a> software package , which implements a technique described in <a href="https://cds.cern.ch/record/2759945/">ATL-PHYS-PUB-2021-011</a>. The ATLAS event number and run number of each event are used as seed to uniquely but reproducibly initialise the random number generator for each event. Each pseudo-data replica is assigned an index, ranging from 0 to 999, corresponding to the random number index used consistently for each observed data event.

Comparison of data with estimated backgrounds in the $\tilde{E}_\text{T}^\text{miss}$ distribution with the TZCR1 event selection except for the requirement on $\tilde{E}_\text{T}^\text{miss}$. The variables $\tilde{E}_\text{T}^\text{miss}$ and $\tilde{m}_\text{T}$ are constructed in the same way as $E_\text{T}^\text{miss}$ and $m_\text{T}$ but treating the leading photon transverse momentum as invisible. The predicted backgrounds are scaled with normalization factors. The uncertainty band includes statistical and all experimental systematic uncertainties. The last bin includes overflow.

Comparison of data with estimated backgrounds in the $\tilde{m}_\text{T}$ distribution with the TZCR1 event selection except for the requirement on $\tilde{m}_\text{T}$. The variables $\tilde{E}_\text{T}^\text{miss}$ and $\tilde{m}_\text{T}$ are constructed in the same way as $E_\text{T}^\text{miss}$ and $m_\text{T}$ but treating the leading photon transverse momentum as invisible. The predicted backgrounds are scaled with normalization factors. The uncertainty band includes statistical and all experimental systematic uncertainties. The last bin includes overflow.

Comparison of the observed data ($n_\text{obs}$) with the predicted background ($n_\text{exp}$) in the validation and signal regions. The background predictions are obtained using the background-only fit configuration. The bottom panel shows the significance of the difference between data and predicted background, where the significance is based on the total uncertainty ($\sigma_\text{tot}$).

Jet multiplicity distributions for events where exactly two signal leptons are selected. No correction factors are included in the background normalizations. The uncertainty band includes statistical and all experimental systematic uncertainties. The last bin includes overflow.

Jet multiplicity distributions for events where exactly one lepton plus one $\tau$ candidate are selected. No correction factors are included in the background normalizations. The uncertainty band includes statistical and all experimental systematic uncertainties. The last bin includes overflow.

The $E_\text{T}^\text{miss}$ distribution in SR1. In the plot, the full event selection in the corresponding signal region is applied, except for the requirement on $E_\text{T}^\text{miss}$. The predicted backgrounds are scaled with normalization factors. The uncertainty band includes statistical and all experimental systematic uncertainties. The last bin contains the overflow. Benchmark signal models are overlaid for comparison. The benchmark models are specified by the gluino and stop masses, given in TeV in the table.

The $m_\text{T}$ distribution in SR1. In the plot, the full event selection in the corresponding signal region is applied, except for the requirement on $m_\text{T}$. The predicted backgrounds are scaled with normalization factors. The uncertainty band includes statistical and all experimental systematic uncertainties. The last bin contains the overflow. Benchmark signal models are overlaid for comparison. The benchmark models are specified by the gluino and stop masses, given in TeV in the table.

Expected (black dashed) 95% excluded regions in the plane of $m_{\tilde{g}}$ versus $m_{\tilde{t}_1}$ for gluino-mediated stop production.

Observed (red solid) 95% excluded regions in the plane of $m_{\tilde{g}}$ versus $m_{\tilde{t}_1}$ for gluino-mediated stop production.

Expected (black dashed) 95% excluded regions in the plane of $m_{\tilde{t}_1}$ versus $m_{\tilde{\chi}_1^0}$ for direct stop production.

Observed (red solid) 95% excluded regions in the plane of $m_{\tilde{t}_1}$ versus $m_{\tilde{\chi}_1^0}$ for direct stop production.

The expected upper limits on $T$ quark pair production times the squared branching ratio for $T \rightarrow tZ$ as a function of the $T$ quark mass.

The observed upper limits on $T$ quark pair production times the squared branching ratio for $T \rightarrow tZ$ as a function of the $T$ quark mass.

The expected limits on $T$ quarks as a function of the branching ratios $B\left(T \rightarrow bW\right)$ and $B\left(T \rightarrow tH\right)$ for a $T$ quark with a mass of 800 GeV. The $T$ is assumed to decay in three possible ways: $T \to tZ$, $T \to tH$, and $T \to bW$.

The observed limits on $T$ quarks as a function of the branching ratios $B\left(T \rightarrow bW\right)$ and $B\left(T \rightarrow tH\right)$ for a $T$ quark with a mass of 800 GeV. The $T$ is assumed to decay in three possible ways: $T \to tZ$, $T \to tH$, and $T \to bW$.

The $m_\text{T}$ distribution in the WVR2-tail validation region which has the same preselection and jet $p_\text{T}$ requirements as SR2.

The $am_\text{T2}$ distribution in the WVR2-tail validation region which has the same preselection and jet $p_\text{T}$ requirements as SR2.

Large-radius jet mass ($R=1.2$), decomposed into the number of small-radius jet constituents. The lower panel shows the ratio of the total data to the total prediction (summed over all jet multiplicities). Events are required to have one lepton, four jets with $p_\text{T}>80,50,40,40$ GeV, at least one $b$-tagged jet, $E_\text{T}^\text{miss}>200$ GeV, and $m_\text{T}>30$ GeV.

Distribution of $m_\text{T2}^\tau$ in data for a selection enriched in $t\bar{t}$ events with one hadronically decaying $\tau$. Events that have no hadronic $\tau$ candidate (that passes the Loose identification criteria, as well as other requirements) are not shown in the plot.

Upper limits on the model cross-section in units of pb for the gluino-mediated stop models.

Upper limits on the model cross-section in units of pb for the models with direct stop pair production.

Illustration of the best expected signal region per signal grid point for the gluino-mediated stop models. This mapping is used for the final combined exclusion limits.

Illustration of the best expected signal region per signal grid point for models with direct stop pair production. This mapping is used for the final combined exclusion limits.

Expected $CL_s$ values for the gluino-mediated stop models.

Observed $CL_s$ values for the gluino-mediated stop models.

Expected $CL_s$ values for the direct stop pair production models.

Observed $CL_s$ values for the direct stop pair production models.

Expected limit using SR1 for models with direct stop pair production and an unpolarized stop (and bino LSP).

Expected limit using SR1 for models with direct stop pair production with $\tilde{t}_1=\tilde{t}_L$ (and bino LSP).

Expected limit using SR1 for models with direct stop pair production with $\tilde{t}_1\sim\tilde{t}_R$ (and bino LSP).

Observed limit using SR1 for models with direct stop pair production and an unpolarized stop (and bino LSP).

Observed limit using SR1 for models with direct stop pair production with $\tilde{t}_1=\tilde{t}_L$ (and bino LSP).

Observed limit using SR1 for models with direct stop pair production with $\tilde{t}_1\sim\tilde{t}_R$ (and bino LSP).

Expected limit using SR2 for models with direct stop pair production and an unpolarized stop (and bino LSP).

Expected limit using SR2 for models with direct stop pair production with $\tilde{t}_1=\tilde{t}_L$ (and bino LSP).

Expected limit using SR2 for models with direct stop pair production with $\tilde{t}_1\sim\tilde{t}_R$ (and bino LSP).

Observed limit using SR2 for models with direct stop pair production and an unpolarized stop (and bino LSP).

Observed limit using SR2 for models with direct stop pair production with $\tilde{t}_1=\tilde{t}_L$ (and bino LSP).

Observed limit using SR2 for models with direct stop pair production with $\tilde{t}_1\sim\tilde{t}_R$ (and bino LSP).

Expected limit using SR1+SR2 (best expected) for models with direct stop pair production and an unpolarized stop (and bino LSP).

Expected limit using SR1+SR2 (best expected) for models with direct stop pair production with $\tilde{t}_1=\tilde{t}_L$ (and bino LSP).

Expected limit using SR1+SR2 (best expected) for models with direct stop pair production with $\tilde{t}_1\sim\tilde{t}_R$ (and bino LSP).

Observed limit using SR1+SR2 (best expected) for models with direct stop pair production and an unpolarized stop (and bino LSP).

Observed limit using SR1+SR2 (best expected) for models with direct stop pair production with $\tilde{t}_1=\tilde{t}_L$ (and bino LSP).

Observed limit using SR1+SR2 (best expected) for models with direct stop pair production with $\tilde{t}_1\sim\tilde{t}_R$ (and bino LSP).

Acceptance for SR1 in the gluino-mediated stop models. The acceptance is defined as the fraction of signal events that pass the analysis selection performed on generator-level objects, therefore emulating an ideal detector with perfect particle identification and no measurement resolution effects.

Acceptance for SR1 in the direct stop pair production. The acceptance is defined as the fraction of signal events that pass the analysis selection performed on generator-level objects, therefore emulating an ideal detector with perfect particle identification and no measurement resolution effects.

Acceptance for SR2 in the gluino-mediated stop models. The acceptance is defined as the fraction of signal events that pass the analysis selection performed on generator-level objects, therefore emulating an ideal detector with perfect particle identification and no measurement resolution effects.

Acceptance for SR2 in the direct stop pair production. The acceptance is defined as the fraction of signal events that pass the analysis selection performed on generator-level objects, therefore emulating an ideal detector with perfect particle identification and no measurement resolution effects.

Acceptance for SR3 in the gluino-mediated stop models. The acceptance is defined as the fraction of signal events that pass the analysis selection performed on generator-level objects, therefore emulating an ideal detector with perfect particle identification and no measurement resolution effects.

Acceptance for SR3 in the direct stop pair production. The acceptance is defined as the fraction of signal events that pass the analysis selection performed on generator-level objects, therefore emulating an ideal detector with perfect particle identification and no measurement resolution effects.

Efficiency for SR1 in the gluino-mediated stop models. The efficiency is the ratio between the expected signal rate calculated with simulated data passing all the reconstruction level cuts applied to reconstructed objects, and the signal rate for an ideal detector (with perfect particle identification and no measurement resolution effects).

Efficiency for SR1 in the direct stop pair production. The efficiency is the ratio between the expected signal rate calculated with simulated data passing all the reconstruction level cuts applied to reconstructed objects, and the signal rate for an ideal detector (with perfect particle identification and no measurement resolution effects).

Efficiency for SR2 in the gluino-mediated stop models. The efficiency is the ratio between the expected signal rate calculated with simulated data passing all the reconstruction level cuts applied to reconstructed objects, and the signal rate for an ideal detector (with perfect particle identification and no measurement resolution effects).

Efficiency for SR2 in the direct stop pair production. The efficiency is the ratio between the expected signal rate calculated with simulated data passing all the reconstruction level cuts applied to reconstructed objects, and the signal rate for an ideal detector (with perfect particle identification and no measurement resolution effects).

Efficiency for SR3 in the gluino-mediated stop models. The efficiency is the ratio between the expected signal rate calculated with simulated data passing all the reconstruction level cuts applied to reconstructed objects, and the signal rate for an ideal detector (with perfect particle identification and no measurement resolution effects).

Efficiency for SR3 in the direct stop pair production. The efficiency is the ratio between the expected signal rate calculated with simulated data passing all the reconstruction level cuts applied to reconstructed objects, and the signal rate for an ideal detector (with perfect particle identification and no measurement resolution effects).

Systematic covariance matrix for the 12 bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$.

Values of the 6 bins of the normalized differential cross section as a function of $\cos\varphi$.

Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\varphi$.

Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\varphi$.

Values of the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$.

Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$.

Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$.

Values of the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$.

Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$.

Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$.

Values of the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$.

Statistical covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$.

Systematic covariance matrix for the 6 bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$.

Values of $A_{\Delta\phi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Fraction of events in each of the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $M_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $M_\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $M_\mathrm{t\bar{t}}$.

Values of $A_{\cos\varphi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\cos\varphi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{\cos\varphi}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $M_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $M_\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $M_\mathrm{t\bar{t}}$.

Values of $A_{c1c2}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{c1c2}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{c1c2}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $M_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $M_\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $M_\mathrm{t\bar{t}}$.

Values of $A_{P}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{P}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{P}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $M_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $M_\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $M_\mathrm{t\bar{t}}$.

Values of $A_{P}^{\rm{CPV}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $M_\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $M_\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $M_\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $M_\mathrm{t\bar{t}}$.

Values of $A_{\Delta\phi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Fraction of events in each of the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Values of $A_{\cos\varphi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\cos\varphi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{\cos\varphi}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Values of $A_{c1c2}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{c1c2}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{c1c2}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Values of $A_{P}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{P}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{P}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Values of $A_{P}^{\rm{CPV}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $p_\mathrm{T}^\mathrm{t\bar{t}}$.

Values of $A_{\Delta\phi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Systematic correlation matrix for $A_{\Delta\phi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Fraction of events in each of the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $|y_\mathrm{t\bar{t}}|$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $|y_\mathrm{t\bar{t}}|$.

Systematic covariance matrix for the $12\times3$ bins of the normalized differential cross section as a function of $\left|\Delta \phi_{\ell^+\ell^-}\right|$ and $|y_\mathrm{t\bar{t}}|$.

Values of $A_{\cos\varphi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{\cos\varphi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Systematic correlation matrix for $A_{\cos\varphi}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $|y_\mathrm{t\bar{t}}|$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $|y_\mathrm{t\bar{t}}|$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\varphi$ and $|y_\mathrm{t\bar{t}}|$.

Values of $A_{c1c2}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{c1c2}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Systematic correlation matrix for $A_{c1c2}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $|y_\mathrm{t\bar{t}}|$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $|y_\mathrm{t\bar{t}}|$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell^+} \cos\theta^{\star}_{\ell^-}$ and $|y_\mathrm{t\bar{t}}|$.

Values of $A_{P}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{P}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Systematic correlation matrix for $A_{P}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $|y_\mathrm{t\bar{t}}|$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $|y_\mathrm{t\bar{t}}|$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_\ell$ and $|y_\mathrm{t\bar{t}}|$.

Values of $A_{P}^{\rm{CPV}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$, and inclusively (bottom row). The value 9999 is used as a placeholder for infinity.

Statistical correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Systematic correlation matrix for $A_{P}^{\rm{CPV}}$ in the 3 bins of $|y_\mathrm{t\bar{t}}|$.

Fraction of events in each of the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $|y_\mathrm{t\bar{t}}|$. The value 9999 is used as a placeholder for infinity.

Statistical covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $|y_\mathrm{t\bar{t}}|$.

Systematic covariance matrix for the $6\times3$ bins of the normalized differential cross section as a function of $\cos\theta^{\star}_{\ell,\mathrm{CPV}}$ and $|y_\mathrm{t\bar{t}}|$.

For the tu$\gamma$ signal channel, the total number of observed selected events in the data (N$_{obs}$), the SM expectations (N$_{SM}$), the efficiencies ($\epsilon$), and the upper limits on the cross sections $\sigma_{fid}$ at the 95% CL in the fiducial region, without and with a requirement on the presence of a single accompanying b jet.

For the tc$\gamma$ signal channel, the total number of observed selected events in the data (N$_{obs}$), the SM expectations (N$_{SM}$), the efficiencies ($\epsilon$), and the upper limits on the cross sections $\sigma_{fid}$ at the 95% CL in the fiducial region, without and with a requirement on the presence of a single accompanying b jet.

Expected and observed measurements of the cross section and signal strength with 68% CL ranges and significances for t$\mathrm{\bar{t}}$W, in SS dilepton and 3$\ell$ channels.

Expected and observed measurements of the cross section and signal strength with 68% CL ranges and significances for t$\mathrm{\bar{t}}$Z, in OS dilepton, 3$\ell$, and 4$\ell$ channels.

Constraints from this t$\mathrm{\bar{t}}$Z and t$\mathrm{\bar{t}}$W measurement on selected dimension-six operators.

Distribution of $m_{{\rm T}2}(\ell, \tau_{\mathrm{had}})$ for events passing all the lepton-hadron HM signal region requirements, except that on the variable itself. The SM background process have been normalised using a fit to the data observed in CRs.

Expected exclusion contour at 95% CL in the (scalar top, scalar tau) mass plane from the combination of all selections.

Observed exclusion contour at 95% CL in the (scalar top, scalar tau) mass plane from the combination of all selections.

The region / analysis with the best expected upper limit on the signal cross-section (95% CL) as a function of the stop and stau masses. 1: SRLM, 2: SRHH, 3: two-lepton channel analysis, 5: SRHM.

The 95% CL excluded cross section times branching ratio, using the best expected SR / analysis for each mass point.

The cut flow on the raw generated events for the signal point (scalar top mass, scalar tau mass) = (337,148) GeV for the hadron-hadron SR. The production cross section for this signal point is $1.00 \pm 0.14$ pb. Quality Cuts indicate a set of cuts applied to ensure good quality events in data. A full description of the cuts used is given in the text. The original input file has a filter applied to it that ensures that all the events have $E_T^{miss}>60$ GeV or one electron or muon with $p_\mathrm{T} > 20$ GeV at truth level. After the filter is applied (efficiency = 0.883) there are 100000 events remaining.

The cut flow on the raw generated events for the signal point (scalar top mass, scalar tau mass) = (195,87) GeV for the lepton-hadron LM SR. The production cross section for this signal point is $21 \pm 3$ pb. Quality Cuts indicate a set of cuts applied to ensure good quality events in data. A full description of the cuts used is given in the text. The original input file has a filter applied to it that ensures that all the events have $E_T^{miss}<60$ GeV and one electron or muon with $p_\mathrm{T} > 20$ GeV at truth level. After the filter is applied (efficiency = 0.117) there are 50000 events remaining before applying the event weights.

The cut flow on the raw generated events for the signal point (scalar top mass, scalar tau mass) = (391,337) GeV for the lepton-hadron HM SR. The production cross section for this signal point is $0.41 \pm 0.06$ pb. Quality Cuts indicate a set of cuts applied to ensure good quality events in data. A full description of the cuts used is given in the text. The original input file has a filter applied to it that ensures that all the events have either $E_T^{miss}>150$ GeV or at least one electron or muon with $p_\mathrm{T} > 20$ GeV at truth level. After the filter is applied (efficiency = 0.925) there are 50000 events remaining before applying the event weights.

Observed exclusion limits in the plane of DM particle mass and interaction scale, with the region below the solid curve excluded at a 90% CL. The background-only expectations are represented by their median (dashed line) and by the 68% and 95% CL bands. A lower bound of the validity of the EFT is indicated by the upper edge of the hatched area. The four curves, corresponding to different g and R values, represent the lower bound on $M_{*}$ for which 50% and 80% of signal events have a pair of DM particles with an invariant mass less than $g\sqrt{M_{*}^{3}/m_{t}}$, where $g = 4\pi$ and $g = 2\pi$ respectively.

Selection acceptance times efficiency as a function of WPRIME mass at truth level for left- and right-handed WPRIME MC. The total efficiency curves correspond to the sum of the efficiencies of the one b-tag and two b-tag categories.

Cutflow (efficiency with respect to total number of events in %) for several WPRIME masses in the left-handed and in the right-handed model for hadronic top-quark decays.

Overview of the signal acceptance times efficiency (A x Eff) for the hadronic top-quark decay for both categories, the predicted cross section times branching ratio to TOP BOTTOM, as well as the observed 95% CL limit on the cross section times branching ratio for several WPRIME masses in the left-handed and in the right-handed model. The expected signal event yields in the two categories for 20.3 fb-1 of 8 TeV data are also shown.

Selection efficiencies in % for the signal in the top squark search, estimated from the simulation.

The final $S_{\text{T}}$ distribution for the leptoquark search with the $\text{e}\tau_{\text{h}}$ and $\mu\tau_{\text{h}}$ channels combined. The last bin contains the overflow events.

The final $S_{\text{T}}$ distribution for the top squark search with the $\text{e}\tau_{\text{h}}$ and $\mu\tau_{\text{h}}$ channels combined. The last bin contains the overflow events.

The expected and observed combined upper limits on the third-generation LQ pair production cross section $\sigma$ times the square of the branching fraction, $\mathcal{B}^2$, at 95% CL, as a function of the LQ mass. These limits also apply to top squarks decaying directly via the coupling $\lambda^{\prime}_{333}$.

The expected and observed combined upper limits on the top squark pair production cross section $\sigma$ times the square of the branching fraction, $\mathcal{B}^2$, at 95% CL, as a function of the top squark mass. These limits apply to top squarks with a chargino-mediated decay through the coupling $\lambda^{\prime}_{3jk}$.

The expected and observed 95% CL upper limits on the branching fraction for the leptoquark decay to a tau lepton and a bottom quark, as a function of the leptoquark mass. A search for top squark pair production [EPJC 73(2013)2677] has the same kinematic signature as the leptoquark decay to a tau neutrino and a top quark. This search is reinterpreted to provide the expected and observed 95% CL upper limits for low values of $\mathcal{B}$, assuming the leptoquark only decays to third-generation fermions.