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.

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\gamma\gamma}$

Differential fiducial higgs to diphoton cross section with respect to $n_{\mathrm{jets}}$

Differential fiducial higgs to diphoton cross section with respect to $n_{\mathrm{jets}}$

Correlation between the measured fiducial cross sections in the different bins of $n_{\mathrm{jets}}$

Correlation between the measured fiducial cross sections in the different bins of $n_{\mathrm{jets}}$

Differential fiducial higgs to diphoton cross section with respect to $\left|\cos\theta^{\ast}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|\cos\theta^{\ast}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|\cos\theta^{\ast}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|\cos\theta^{\ast}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|y^{\gamma\gamma}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|y^{\gamma\gamma}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|y^{\gamma\gamma}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|y^{\gamma\gamma}\right|$

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{j_{1}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{j_{1}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{j_{1}}$

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{j_{1}}$

Differential fiducial higgs to diphoton cross section with respect to $\left|y^{j_{1}}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|y^{j_{1}}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|y^{j_{1}}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|y^{j_{1}}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|\Delta y_{\gamma\gamma,j_{1}}\right|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $\left|\Delta y_{\gamma\gamma,j_{1}}\right|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $\left|\Delta y_{\gamma\gamma,j_{1}}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|\Delta y_{\gamma\gamma,j_{1}}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|\Delta\phi_{\gamma\gamma,j_{1}}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|\Delta\phi_{\gamma\gamma,j_{1}}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|\Delta\phi_{\gamma\gamma,j_{1}}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|\Delta\phi_{\gamma\gamma,j_{1}}\right|$

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{j_{2}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{j_{2}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{j_{2}}$

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{j_{2}}$

Differential fiducial higgs to diphoton cross section with respect to $\left|y^{j_{2}}\right|$

Differential fiducial higgs to diphoton cross section with respect to $\left|y^{j_{2}}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|y^{j_{2}}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|y^{j_{2}}\right|$

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{j_{1},j_{2}}|$

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{j_{1},j_{2}}|$

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{j_{1},j_{2}}|$

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{j_{1},j_{2}}|$

Differential fiducial higgs to diphoton cross section with respect to $|\bar{\eta}_{j_{1},j_{2}}-\eta_{\gamma\gamma}|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $|\bar{\eta}_{j_{1},j_{2}}-\eta_{\gamma\gamma}|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $|\bar{\eta}_{j_{1},j_{2}}-\eta_{\gamma\gamma}|$

Correlation between the measured fiducial cross sections in the different bins of $|\bar{\eta}_{j_{1},j_{2}}-\eta_{\gamma\gamma}|$

Differential fiducial higgs to diphoton cross section with respect to $m_{\mathrm{jj}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $m_{\mathrm{jj}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $m_{\mathrm{jj}}$

Correlation between the measured fiducial cross sections in the different bins of $m_{\mathrm{jj}}$

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\eta_{j_{1},j_{2}}|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\eta_{j_{1},j_{2}}|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\eta_{j_{1},j_{2}}|$

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\eta_{j_{1},j_{2}}|$

Differential fiducial higgs to diphoton cross section with respect to $n_{\mathrm{leptons}}$

Differential fiducial higgs to diphoton cross section with respect to $n_{\mathrm{leptons}}$

Correlation between the measured fiducial cross sections in the different bins of $n_{\mathrm{leptons}}$

Correlation between the measured fiducial cross sections in the different bins of $n_{\mathrm{leptons}}$

Differential fiducial higgs to diphoton cross section with respect to $n_{\mathrm{b-jets}}$

Differential fiducial higgs to diphoton cross section with respect to $n_{\mathrm{b-jets}}$

Correlation between the measured fiducial cross sections in the different bins of $n_{\mathrm{b-jets}}$

Correlation between the measured fiducial cross sections in the different bins of $n_{\mathrm{b-jets}}$

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\mathrm{miss}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\mathrm{miss}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\mathrm{miss}}$

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\mathrm{miss}}$

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{j_{2}}$ in the VBF enriched PS. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{j_{2}}$ in the VBF enriched PS. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{j_{2}}$

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{j_{2}}$

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$ in the VBF enriched PS

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$ in the VBF enriched PS

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{\gamma\gamma,j_{1}j_{2}}|$

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{j_{1},j_{2}}|$ in the VBF enriched PS

Differential fiducial higgs to diphoton cross section with respect to $|\Delta\phi_{j_{1},j_{2}}|$ in the VBF enriched PS

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{j_{1},j_{2}}|$

Correlation between the measured fiducial cross sections in the different bins of $|\Delta\phi_{j_{1},j_{2}}|$

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ in the VBF enriched PS. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ in the VBF enriched PS. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\gamma\gamma}$

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\gamma\gamma}$

Differential fiducial higgs to diphoton cross section with respect to $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $\tau_{\mathrm{C}}^{j}$

Correlation between the measured fiducial cross sections in the different bins of $\tau_{\mathrm{C}}^{j}$

Differential fiducial higgs to diphoton cross section with respect to $\left|\phi_{\eta}^{\ast}\right|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $\left|\phi_{\eta}^{\ast}\right|$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $\left|\phi_{\eta}^{\ast}\right|$

Correlation between the measured fiducial cross sections in the different bins of $\left|\phi_{\eta}^{\ast}\right|$

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $\tau_{\mathrm{C}}^{j}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\gamma\gamma}$ and $\tau_{\mathrm{C}}^{j}$

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\gamma\gamma}$ and $\tau_{\mathrm{C}}^{j}$

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $n_{\mathrm{jets}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $n_{\mathrm{jets}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $n_{\mathrm{jets}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $n_{\mathrm{jets}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $n_{\mathrm{jets}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Differential fiducial higgs to diphoton cross section with respect to $p_{\mathrm{T}}^{\gamma\gamma}$ vs. $n_{\mathrm{jets}}$. The last bin in the differential observable extends to infinity and the measured fiducial cross section in this bin is devided by the given bin width

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\gamma\gamma}$ and $n_{\mathrm{jets}}$

Correlation between the measured fiducial cross sections in the different bins of $p_{\mathrm{T}}^{\gamma\gamma}$ and $n_{\mathrm{jets}}$

Cross sections measured in different regions of the fiducial phase space

Cross sections measured in different regions of the fiducial phase space

Signal region detector-level distribution for the observable $p_{\mathrm{T}}^{\mathrm{lead}\, \ell}$.

Signal region detector-level distribution for the observable $m_{e\mu}$.

Signal region detector-level distribution for the observable $p_{\mathrm{T}}^{e\mu}$.

Measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|y_{e\mu}|$

Relative systematic uncertainties for the fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|y_{e\mu}|$

Measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|\Delta \phi(e \mu)|$

Relative systematic uncertainties for the fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|\Delta \phi(e \mu)|$

Measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $ \cos\theta^{\ast}$

Relative systematic uncertainties for the fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $ \cos\theta^{\ast}$

Measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{\mathrm{lead}\, \ell}$

Relative systematic uncertainties for the fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{\mathrm{lead}\, \ell}$

Measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $m_{e\mu}$

Relative systematic uncertainties for the fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $m_{e\mu}$

Measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{e\mu}$

Relative systematic uncertainties for the fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{e\mu}$

The statistical correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|y_{e\mu}|$

The total correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|y_{e\mu}|$

The statistical correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|\Delta \phi(e \mu)|$

The total correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $|\Delta \phi(e \mu)|$

The statistical correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $ \cos\theta^{\ast}$

The total correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $ \cos\theta^{\ast}$

The statistical correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{\mathrm{lead}\, \ell}$

The total correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{\mathrm{lead}\, \ell}$

The statistical correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $m_{e\mu}$

The total correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $m_{e\mu}$

The statistical correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{e\mu}$

The total correlation coefficients (in percentage) between bins for the measured fiducial differential cross-section of $WW \rightarrow e^{\pm}\nu\mu^{\mp}\nu$ production for the observable $p_{\mathrm{T}}^{e\mu}$

Parton dijet $M_{inv}$ vs $A_{LL}$ values with associated uncertainties, for topology C.

Parton dijet $M_{inv}$ vs $A_{LL}$ values with associated uncertainties, for topology D.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements.The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology A). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology B). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (statistical and systematics) for the inclusive jet measurements coupling with the forward-forward dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology A). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology A) with forward-central dijet measurements (topology B). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology A) with forward-central dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology A) with forward-central dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology B). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology B) with forward-central dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology B) with forward-central dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology C). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) coupling forward-forward dijet measurements (topology C) with forward-central dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

The correlation matrix for the point-to-point uncertainties (systematics only) for forward-forward dijet measurements (topology D). The relative luminosity and beam polarization uncertainties are not included because they are the same for all points.

Parton inclusive-jet $p_T$ and $A_{LL}$ values with associated uncertainties for jet-$\eta$ region $0.5<|\eta|<1$.

Parton inclusive-jet $p_T$ and $A_{LL}$ values with associated uncertainties for jet-$\eta$ region $|\eta|<0.5$.

Parton dijet invariant mass $M_{inv}$ and $A_{LL}$ values with associated uncertainties for the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology.

Parton dijet invariant mass $M_{inv}$ and $A_{LL}$ values with associated uncertainties for the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology.

Parton inclusive-jet $p_T$, $x_T$, and $A_{LL}$ values with associated uncertainties for jet-$\eta$ region $|\eta|<1$.

The correlation matrix for the point-to-point uncertainties for inclusive jet measurements with jets in the $0.5<|\eta|<1$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for inclusive jet measurements with jets in the $|\eta|<0.5$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for inclusive jet measurements with jets in the $|\eta|<1$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<0.5$ region and jets in the $0.5<|\eta|<1$ region. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $0.5<|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $0.5<|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<0.5$ region with dijet measurements with the the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<0.5$ region with dijet measurements with the the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling inclusive jet measurements with jets in the $|\eta|<1$ region with dijet measurements with the the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for dijet measurements with the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties for dijet measurements with the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The correlation matrix for the point-to-point uncertainties coupling dijet measurements with the $\textrm{sign}(\eta_1) \neq \textrm{sign}(\eta_2)$ topology and the $\textrm{sign}(\eta_1) = \textrm{sign}(\eta_2)$ topology. The $A_{LL}$ uncertainty contribution of $0.0007$ from uncertainty in the relative luminosity measurement and $6.1\%$ from the beam polarization uncertainty, which are common to all the data points, are separated from the listed values.

The three-point correlator, $\gamma$, as a function of centrality for Au+Au collisions at 19.6 GeV.

The three-point correlator, $\gamma$, as a function of centrality for Au+Au collisions at 11.5 GeV.

The three-point correlator, $\gamma$, as a function of centrality for Au+Au collisions at 7.7.

The two-particle correlation as a function of centrality for Au+Au collisions at 62.4 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 39 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 27 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 19.6 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 11.5 GeV.

The two-particle correlation as a function of centrality for Au+Au collisions at 7.7 GeV.

$H_{SS}-H{OS}$, as a function of beam energy for 60-80% centrality in Au+Au collisions.

$H_{SS}-H{OS}$, as a function of beam energy for 30-60% centrality in Au+Au collisions.

$H_{SS}-H{OS}$, as a function of beam energy for 10-30% centrality in Au+Au collisions.

Sample correlations in $\Delta\phi$ ($|\Delta\eta|<$ 1.78) for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-95% $d$+Au at $\sqrt{s_{NN}}$ = 200 GeV, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV, 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV, and 0-12% central Au+Au at $\sqrt{s_{NN}}$ = 200 GeV. The data are averaged between positive and negative $\Delta\phi$ and reflected in the plot.

Background subtracted sample correlations for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ on the near-side for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-95% $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV, 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV and 0-12% central Au+Au at $\sqrt{s_{NN}}$ = 200 GeV. The dependence of the jet-like correlation is shown as a function of $\Delta\eta$ ($|\Delta\phi|<$ 0.78). The data are averaged between positive and negative $\Delta\eta$.

Background subtracted sample correlations for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ on the near-side for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-95% $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV, 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV and 0-12% central Au+Au at $\sqrt{s_{NN}}$ = 200 GeV. The dependence of the jet-like correlation is shown as a function of $\Delta\phi$ ($|\Delta\eta|<$ 1.78). The data are averaged between positive and negative $\Delta\phi$.

Dependence of jet-like yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV. 5% systematic error due to the uncertainty on the associated particle's efficiency is not shown.

Dependence of jet-like yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV. 5% systematic error due to the uncertainty on the associated particle's efficiency is not shown.

Dependence of jet-like yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for $d$+Au at $\sqrt{s_{NN}}$ = 200 GeV. 5% systematic error due to the uncertainty on the associated particle's efficiency is not shown.

Dependence of jet-like yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV. 5% systematic error due to the uncertainty on the associated particle's efficiency is not shown.

Dependence of jet-like yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 200 GeV. 5% systematic error due to the uncertainty on the associated particle's efficiency is not shown.

Dependence of jet-like yield on $p_T^{\mathrm{trigger}}$ for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, 0-95% $d$+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV, 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV and 0-12% central Au+Au at $\sqrt{s_{NN}}$ = 200 GeV. The 5% systematic error due to the uncertainty on the associated particle's efficiency is not shown.

Dependence of jet-like yield on $p_T^{\mathrm{associated}}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ for 0-60% Cu+Cu and 0-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 62.4 GeV and 0-95% $d$+Au, 0-60% Cu+Cu, 0-12% Au+Au and 40-80% Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. The 5% systematic error due to the uncertainty on the associated particle's efficiency is not shown.

Dependence of the widths in $\Delta\phi$ on $p_T^{\mathrm{trigger}}$ for 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-95% $d$+Au, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV and $\sqrt{s_{NN}}$ = 200 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, and 0-12% and 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\phi$ on $p_T^{\mathrm{associated}}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ for 0-95% $d$+Au, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV and $\sqrt{s_{NN}}$ = 200 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, and 0-12% and 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\phi$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of the widths in $\Delta\phi$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of the widths in $\Delta\phi$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-95% $d$+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\phi$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\phi$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\eta$ on $p_T^{\mathrm{trigger}}$ for 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-95% $d$+Au, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV and $\sqrt{s_{NN}}$ = 200 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, and 0-12% and 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\eta$ on $p_T^{\mathrm{associated}}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ for 0-95% $d$+Au, 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV and $\sqrt{s_{NN}}$ = 200 GeV, 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV, and 0-12% and 40-80% Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\eta$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of the widths in $\Delta\eta$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-80% Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of the widths in $\Delta\eta$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-95% $d$+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\eta$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for 0-60% Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of the widths in $\Delta\eta$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of ridge yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of ridge yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of ridge yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of ridge yield on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Ratio of the ridge and jet-like yields on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV.

Ratio of the ridge and jet-like yields on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV.

Ratio of the ridge and jet-like yields on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV.

Ratio of the ridge and jet-like yields on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of $V_{3\Delta}/V_{2\Delta}$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of $V_{3\Delta}/V_{2\Delta}$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 62.4 GeV.

Dependence of $V_{3\Delta}/V_{2\Delta}$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for $d$+Au at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of $V_{3\Delta}/V_{2\Delta}$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Cu+Cu at $\sqrt{s_{NN}}$ = 200 GeV.

Dependence of $V_{3\Delta}/V_{2\Delta}$ on $N_{part}$ for 3 $<$ $p_T^{trigger}$ $<$ 6 GeV/$c$ and 1.5 GeV/$c$ $<$ $p_T^{associated}$ $<$ $p_T^{trigger}$ for Au+Au at $\sqrt{s_{NN}}$ = 200 GeV.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V2Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V3Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V4Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-2% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 0-10% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 0.25-0.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 1-1.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V5Delta coefficients as a function of the trigger particle PT for events in the centrality class 40-50% having the associated particle PT in the range 2-2.5 GeV. Note that in the paper the data are plotted multiplied by 100.

V1Delta for all pt combinations for the centrality classes 0-10% and 40-50%.

V2Delta for all pt combinations for the centrality classes 0-10% and 40-50%.

V3Delta for all pt combinations for the centrality classes 0-10% and 40-50%.

V4Delta for all pt combinations for the centrality classes 0-10% and 40-50%.

V5Delta for all pt combinations for the centrality classes 0-10% and 40-50%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 0-2%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 2-10%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 10-20%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 20-30%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 30-40%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 0-2%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 2-10%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 10-20%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 20-30%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 30-40%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 0-2%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 2-10%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 10-20%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 20-30%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 30-40%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 0-2%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 2-10%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 10-20%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 20-30%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 30-40%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 0-20%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 40-50%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 0-20%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 40-50%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 0-20%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 40-50%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 0-20%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 40-50%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 0-20%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 0.25-5 GeV/c for the centrality class 40-50%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 0-20%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 0-20%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 0-20%.

The global fit paramter v_3{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 0-20%.

The global fit paramter v_4{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 0-20%.

The global fit paramter v_5{GF} vs. the trigger particle PT for fit range of 5-15 GeV/c for the centrality class 40-50%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 0.25-1 GeV/c for the centrality class 0-10%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 0.25-1 GeV/c for the centrality class 40-50%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-1 GeV/c for the centrality class 0-10%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 0.25-1 GeV/c for the centrality class 40-50%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 2-4 GeV/c for the centrality class 0-10%.

The global fit paramter v_1{GF} vs. the trigger particle PT for fit range of 2-4 GeV/c for the centrality class 40-50%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 2-4 GeV/c for the centrality class 0-10%.

The global fit paramter v_2{GF} vs. the trigger particle PT for fit range of 2-4 GeV/c for the centrality class 40-50%.

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 2. (Color online) Fit decomposition of the $46 \%-56 \%$ centrality data for 62 -GeV Au-Au collisions. The top panels show from left to right the corrected data, model fit, fit residuals (data - model), and same-side 2D Gaussian. The bottom panels similarly show the away-side azimuth dipole, the nonjet azimuth quadrupole, the 1D $\eta_{\Delta}$ Gaussian, and the 2D exponential. This centrality is just below the sharp transition at $v_{\text {trans }}=3$. Fit residuals (c) are scaled up eightfold relative to the data.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 4. (Color online) (a) 2D data histogram from $0 \%-5 \%$ central 200 GeV Au-Au collisions $[(0,0)$ bin suppressed]. (b) Additional model component fitted to the $2 \mathrm{D}$ histogram and consisting of an AS azimuth dipole modulated by function $F\left(\eta_{\Delta}\right)$ described in the text. (c) Fit residuals including the new model component. (d) Data histogram in the first panel minus the additional model component and fitted offset. Remaining structure is described accurately by an AS dipole and SS 2D Gaussian.

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 11. (Color online) (Left) Uncorrected angular correlations from 62-GeV $37 \%-46 \%$ central Au-Au collisions showing pileup distortions, especially evident as the W-shaped nonuniformity of the AS ridge on $\eta_{\Delta}$. (Right) The same data with pileup correction applied.

Projections of the correlation function C.

Projections of the correlation function C.

Projections of the correlation function C.

Projections of the correlation function C.

Pion HBT radii for the 5% most central collisions.

Pion HBT radii for the 5% most central collisions from the STAR experiment at 200 GeV taken from Adams et al. PR C71(2005)044906.

Ratio of Pion HBT radii for the OUT projection to that for the SIDE projection for the 5% most central collisions.

Ratio of Pion HBT radii for the OUT projection to that for the SIDE projection for the 5% most central collisions from the STAR experiment at 200 GeV taken from Adams et al. PR C71(2005)044906.;.

Pion HBT radii at KT=0.3 for the 5% most central collisions as a function of the central charged multiplicity. Data from other experiments is shown for comparison.

Product of the three HBT radii at KT=0.3 for the 5% most central collisions as a function of the central charged multiplicity. Data from other experiments is shown for comparison.

The decoupling time extracted from R_long(KT) as a function of the central charged multiplicity. Data from other experiments is shown for comparison.