Detailed list of the contribution of each source of uncertainty to the total uncertainty on the measured values of $\sigma(tq)$, $\sigma(\bar{t}q)$, $R_t$, and $\sigma(tq+\bar{t}q)$. The evaluation of the systematic uncertainties has a statistical uncertainty of $0.3\,\%$. Uncertainties contributing less than $1.0\,\%$ are marked with "$<1$" in the paper. To provide numerical values for this table in HEPdata, these uncertainties are approximated with $\pm 0.5\,\%$. This approximation is applied to all measurements for the following uncertainties$:$ JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by-jets, JES pileup, $b$-JES, jet vertex fraction, mistag efficiency and $W+\;$jets shape variation. For the measurement of $\sigma(tq)$ the approximation is applied in addition to the following uncertainties$:$ JES flavor response, $c$-tagging efficiency, $t\bar{t}$ generator + parton shower and $t\bar{t}$ ISR/FSR. For the measurement of $\sigma(\bar{t}q)$ the approximation is applied in addition to these uncertainties$:$ JES flavor response, $b/\bar{b}$ acceptance, and $t\bar{t}$ ISR/FSR. For the measurement of $R_t$ the approximation is applied in addition to these uncertainties$:$ JES detector, $b$-tagging efficiency, $c$-tagging efficiency, $b/\bar{b}$ acceptance and $tq$ scale variations. For the measurement of $\sigma(tq+\bar{t}q)$ the approximation is applied in addition to these uncertainties$:$ JES flavor response, $c$-tagging efficiency, $b/\bar{b}$ acceptance, $t\bar{t}$ generator + parton shower and $t\bar{t}$ ISR/FSR.

Differential t-channel top-quark production cross sections and normalized differential t-channel top-quark production cross sections as functions of ABS(YRAP(T)).

The cross sections for top-quark and top-antiquark production in the t-channel, together with the cross-section ratio.

Differential t-channel top-quark production cross sections and normalized differential t-channel top-quark production cross sections as functions of ABS(YRAP(TBAR)).

Parametrization factors for the $m_{t}$ dependence [see Eq. (4) in the paper] of $\sigma(tq)$, $\sigma(\bar tq)$, and $\sigma(t q+\bar t q)$.

The cross sections for top-quark and top-antiquark production in the t-channel, together with the cross-section ratio.

The value of $|V_{tb}|^{2}$ is extracted by dividing the measured value of $\sigma(t q+\bar t q)$ by the prediction of the approximate NNLO calculation. The experimental and theoretical uncertainties are added in quadrature.

Event yields for the 2-jet-$\ell^{+}$ and 2-jet-$\ell^{-}$ HPR channels. The expectation for the signal and background yields correspond to the result of the binned maximum-likelihood fit described in Sec. $\mathrm{VI~D}$ in the paper. The uncertainty of the expectations is the normalization uncertainty of each process after the fit, as described in Sec. $\mathrm{VII~F}$ in the paper.

Migration matrix relating the parton level $p_{\mathrm{T}}(t)$ shown on the $y$ axis and the reconstruction level $p_{\mathrm{T}}(\ell \nu b)$ shown on the $x$ axis for the top-quark $p_{\mathrm{T}}$ distribution.

Migration matrix relating the parton level $p_{\mathrm{T}}(\bar t)$ shown on the $y$ axis and the reconstruction level $p_{\mathrm{T}}(\ell \nu b)$ shown on the $x$ axis for the top-antiquark $p_{\mathrm{T}}$ distribution.

Migration matrix relating the parton level $|y(t)|$ shown on the $y$ axis and the reconstruction level $|y(\ell \nu b)|$ shown on the $x$ axis for the top-quark $|y|$ distribution.

Migration matrix relating the parton level $|y(\bar t)|$ shown on the $y$ axis and the reconstruction level $|y(\ell \nu b)|$ shown on the $x$ axis for the top-antiquark $|y|$ distribution.

Differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(t)$ with the uncertainties for each bin given in percent.

Differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(\bar t)$ with the uncertainties for each bin given in percent.

Differential t-channel top-quark production cross section as a function of $|y(t)|$ with the uncertainties for each bin given in percent.

Differential t-channel top-quark production cross section as a function of $|y(\bar t)|$ with the uncertainties for each bin given in percent.

Normalized differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(t)$ with the uncertainties for each bin given in percent.

Normalized differential t-channel top-quark production cross section as a function of $p_{\mathrm{T}}(\bar t)$ with the uncertainties for each bin given in percent.

Normalized differential t-channel top-quark production cross section as a function of $|y(t)|$ with the uncertainties for each bin given in percent.

Normalized differential t-channel top-quark production cross section as a function of $|y(\bar t)|$ with the uncertainties for each bin given in percent.

Comparison between the measured differential cross sections and the predictions from the NLO calculation using the MSTW2008 PDF set. For each variable and prediction a $\chi^{2}$ value is calculated with HERAfitter using the covariance matrix of each measured spectrum. The theory uncertainties of the predictions are treated as uncorrelated. The number of degrees of freedom (NDF) is equal to the number of bins in the measured spectrum.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(t)}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content$:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, jet-vertex fraction, $b/\bar{b}$ acceptance, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, $W+$ jets shape variation, and $t \bar{t}$ generator. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(\bar t)}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content$:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, $b-$JES, jet-vertex fraction, mistag efficiency, $b/\bar{b}$ acceptance, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, $W+$ jets shape variation, and $t \bar{t}$ generator. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(t)|}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content$:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, jet-vertex fraction, $b/\bar{b}$ acceptance, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, $W+$ jets shape variation, $t \bar{t}$ generator, $t \bar{t}$ ISR/FSR, and unfolding. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(\bar t)|}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content$:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, $b-$JES, jet-vertex fraction, $b/\bar{b}$ acceptance, mistag efficiency, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, $W+$ jets shape variation, $t \bar{t}$ generator, $t \bar{t}$ ISR/FSR, and unfolding. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(t)}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. The JES $\eta$ intercalibration uncertainty has a sign switch from the first to the second bin. For the $tq$ generator $+$ parton shower uncertainty a sign switch is denoted with $\mp$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content$:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, $b-$JES, jet-vertex fraction, $b/\bar{b}$ acceptance, $c-$tagging efficiency, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, lepton uncertainties, $W+$ jets shape variation, and $t \bar{t}$ generator. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}p_{\mathrm{T}}(\bar t)}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. Sign switches within one uncertainty are denoted with $\mp$ and $\pm$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content$:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, $b-$JES, jet-vertex fraction, $b/\bar{b}$ acceptance, mistag efficiency, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, lepton uncertainties, $W+$ jets shape variation, and $t \bar{t}$ generator. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(t)|}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. Sign switches within one uncertainty are denoted with $\mp$ and $\pm$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content$:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, b-JES, jet-vertex fraction, $b/\bar{b}$ acceptance, $b-$tagging efficiency, $c-$tagging efficiency, mistag efficiency, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, lepton uncertainties, $W+$jets shape variation, $t \bar{t}$ generator, $t \bar{t}$ISR/FSR, and unfolding. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Detailed list of the contribution of each source of uncertainty to the total relative uncertainty on the measured $\dfrac{1}{\sigma}\dfrac{\mathrm{d}\sigma}{\mathrm{d}|y(\bar t)|}$ distribution given in percent for each bin. The list includes only those uncertainties that contribute with more than $1\%$. Sign switches within one uncertainty are denoted with $\mp$ and $\pm$. The following uncertainties contribute to the total uncertainty with less than $1\%$ to each bin content $:$ JES detector, JES statistical, JES physics modeling, JES mixed detector and modeling, JES close-by jets, JES pileup, JES flavor composition, JES flavor response, b-JES, jet energy resolution, jet-vertex fraction, $b/\bar{b}$ acceptance, $b-$tagging efficiency, $c-$ tagging efficiency, mistag efficiency, $E_{\mathrm{T}}^{\mathrm{miss}}$ modeling, lepton uncertainties, $W+$ jets shape variation, $t \bar{t}$ generator, $t \bar{t}$ ISR/FSR, and unfolding. In cases when the uncertainty is report to be "$<1\%$" in the table of the paper the uncertainty is approximated by a value of $0.5\%$.

Statistical correlation matrices for the differential cross section as a function of $p_{\mathrm{T}}(t)$.

Statistical correlation matrices for the differential cross section as a function of $p_{\mathrm{T}}(\bar t)$.

Statistical correlation matrices for the differential cross section as a function of $|y(t)|$.

Statistical correlation matrices for the differential cross section as a function of $|y(\bar t)|$.

Statistical correlation matrices for the normalized differential cross section as a function of $p_{\mathrm{T}}(t)$.

Statistical correlation matrices for the normalized differential cross section as a function of $p_{\mathrm{T}}(\bar t)$.

Statistical correlation matrices for the normalized differential cross section as a function of $|y(t)|$.

Statistical correlation matrices for the normalized differential cross section as a function of $|y(\bar t)|$.

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.

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 $|y_\mathrm{t\bar{t}}|$.

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.

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.

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.

(1) Number of generated MC events for the spin 1/2 top partner signal grid (2) Relative Cross section uncertainties for the spin 1/2 top partner signal grid.

(1) Acceptance of the same flavour selection for the spin 1/2 top partner signal grid (2) Selection efficiency of the same flavour selection for the spin 1/2 top partner signal grid (3) Product of the acceptance and efficiency of the same flavour selection for the spin 1/2 top partner signal grid (4) Relative experimental uncertainties on the acceptance times efficiency of the same flavour selection for the spin 1/2 top partner signal grid.

(1) Acceptance of the different flavour selection for the spin 1/2 top partner signal grid (2) Selection efficiency of the different flavour selection for the spin 1/2 top partner signal grid (3) Product of the acceptance and efficiency of the different flavour selection for the spin 1/2 top partner signal grid (4) Relative experimental uncertainties on the acceptance times efficiency of the different flavour selection for the spin 1/2 top partner signal grid.

(1) Observed CLs values for the scalar top signal grid (2) Expected CLs values for the scalar top signal grid.

(1) Observed CLs values for the spin 1/2 top partner signal grid (2) Expected CLs values for the spin 1/2 top partner signal grid.

Cross section limits [pb] for the scalar top signal grid.

Cross section limits [pb] for the spin 1/2 top partner signal grid.

Observed 95% CL limit for stop grid as a function of the scalar top and neutralino masses.

Observed 95% CL limit for stop grid as a function of the scalar top and neutralino masses, varying signal cross section of +1sigma.

Observed 95% CL limit for stop grid as a function of the scalar top and neutralino masses, varying signal cross section of -1sigma.

Expected 95% CL limit for stop grid as a function of the scalar top and neutralino masses.

Expected 95% CL limit for stop grid as a function of the scalar top and neutralino masses, varying the uncertainty of +1sigma.

Expected 95% CL limit for stop grid as a function of the scalar top and neutralino masses, varying the uncertainty of -1sigma.

Observed 95% CL limit for top partner grid as a function of the top partner and neutralino masses.

Observed 95% CL limit for top partner grid as a function of the top partner and neutralino masses, varying signal cross section of +1sigma.

Observed 95% CL limit for top partner grid as a function of the top partner and neutralino masses, varying signal cross section of -1sigma.

Expected 95% CL limit for top partner grid as a function of the top partner and neutralino masses.

Expected 95% CL limit for top partner grid as a function of the top partner and neutralino masses, varying the uncertainty of +1sigma.

Expected 95% CL limit for top partner grid as a function of the top partner and neutralino masses, varying the uncertainty of -1sigma.

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.