Observed (black markers) and expected distributions of number of jets after event selection. The hatched (grey) areas denote the systematic (total) uncertainties in the expected yields. Events from all data-taking periods and all channels are combined. The lower panel of each plot shows the ratio between observed and expected distributions. The last bin includes all events above the plotted range. The entry Background corresponds to the sum of all the SM predictions.

Observed (black markers) and expected distributions of number of b tagged jets after event selection. The hatched (grey) areas denote the systematic (total) uncertainties in the expected yields. Events from all data-taking periods and all channels are combined. The lower panel of each plot shows the ratio between observed and expected distributions. The last bin includes all events above the plotted range. The entry Background corresponds to the sum of all the SM predictions.

Difference between $p_{\mathrm{T,gen.}}^\text{miss}$ and $p_{\mathrm{T,rec.}}^\text{miss}$ as a function of the $p_{\mathrm{T,gen.}}^\text{miss}$ for signal events. The mean difference between the generated and the $p_{\mathrm{T,rec.}}^\text{miss}$ per bin is shown as solid line. The results for $p_{\mathrm{T}}^\text{miss}$ corrected by the DNN regression (light blue), derived with the PUPPI algorithm (red), and the PF algorithm (orange) are shown. A simulated sample for the 2018 data-taking period is used.

Difference between $p_{\mathrm{T,gen.}}^\text{miss}$ and $p_{\mathrm{T,rec.}}^\text{miss}$ as a function of the $p_{\mathrm{T,gen.}}^\text{miss}$ for signal events. The dashed line shows the standard deviation $\sigma$, which corresponds to the resolution of the $p_{\mathrm{T,gen.}}^\text{miss}$ and $p_{\mathrm{T,rec.}}^\text{miss}$ difference. The results for $p_{\mathrm{T}}^\text{miss}$ corrected by the DNN regression (light blue), derived with the PUPPI algorithm (red), and the PF algorithm (orange) are shown. A simulated sample for the 2018 data-taking period is used.

Difference between $p_{\mathrm{T,gen.}}^\text{miss}$ and $p_{\mathrm{T,rec.}}^\text{miss}$ as a function of the number of primary vertices for signal events. The mean difference between the generated and the $p_{\mathrm{T,rec.}}^\text{miss}$ per bin is shown as solid line. The results for $p_{\mathrm{T}}^\text{miss}$ corrected by the DNN regression (light blue), derived with the PUPPI algorithm (red), and the PF algorithm (orange) are shown. A simulated sample for the 2018 data-taking period is used.

Difference between $p_{\mathrm{T,gen.}}^\text{miss}$ and $p_{\mathrm{T,rec.}}^\text{miss}$ as a function of the $p_{\mathrm{T,gen.}}^\text{miss}$ for signal events. The dashed line shows the standard deviation $\sigma$, which corresponds to the resolution of the $p_{\mathrm{T,gen.}}^\text{miss}$ and $p_{\mathrm{T,rec.}}^\text{miss}$ difference. The results for $p_{\mathrm{T}}^\text{miss}$ corrected by the DNN regression (light blue), derived with the PUPPI algorithm (red), and the PF algorithm (orange) are shown. A simulated sample for the 2018 data-taking period is used.

Results of the $\chi^{2}$ tests for the absolute and normalized differential cross section measurements for each of the predictions. The $\chi^{2}$ values including uncertainties on the predictions are given in parentheses in the table in the paper and in a separate column here.

The p-value of the $\chi^{2}$ tests for the absolute and normalized cross section measurements for each of the predictions. The resulting p-values including uncertainties on the predictions are given in parentheses in the table in the paper and in a separate column here.

Breakdown of the relative contribution from experimental uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from theory uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from experimental uncertainties in the differential cross section measurement as a function of $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from theory uncertainties in the differential cross section measurement as a function of $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from experimental uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0<$\phi$<0.56. Each group of four bins corresponds to $p_{\text{T}}^{\nu\nu}$ bins, and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ bin edges are indicated by vertical solid lines. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from experimental uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0.56<$\phi$<1.08. Each group of four bins corresponds to $p_{\text{T}}^{\nu\nu}$ bins, and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ bin edges are indicated by vertical solid lines. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from experimental uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 1.08<$\phi$<3.14. Each group of four bins corresponds to $p_{\text{T}}^{\nu\nu}$ bins, and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ bin edges are indicated by vertical solid lines. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from theory uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0<$\phi$<0.56. Each group of four bins corresponds to $p_{\text{T}}^{\nu\nu}$ bins, and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ bin edges are indicated by vertical solid lines. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from theory uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0.56<$\phi$<1.08. Each group of four bins corresponds to $p_{\text{T}}^{\nu\nu}$ bins, and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ bin edges are indicated by vertical solid lines. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

Breakdown of the relative contribution from theory uncertainties in the differential cross section measurement as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 1.08<$\phi$<3.14. Each group of four bins corresponds to $p_{\text{T}}^{\nu\nu}$ bins, and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ bin edges are indicated by vertical solid lines. The statistical uncertainty (dark grey) takes the size of the available simulated samples and the recorded data into account. The last bin includes all events above the plotted range.

The observed (black markers) and simulated distributions of $p_{\mathrm{T,DNN}}^\text{miss}$ is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

The observed (black markers) and simulated distributions of $\text{min}[\Delta\phi(\vec{p}_{\text{T, DNN}}^{\text{miss}},\vec{p}_{\text{T}}^{\ell})]$ is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

The observed (black markers) and simulated two-dimensional distribution of $p_{\mathrm{T,DNN}}^\text{miss}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T, DNN}}^{\text{miss}},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0<$\phi$<0.28 is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

The observed (black markers) and simulated two-dimensional distribution of $p_{\mathrm{T,DNN}}^\text{miss}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T, DNN}}^{\text{miss}},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0.28<$\phi$<0.56 is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

The observed (black markers) and simulated two-dimensional distribution of $p_{\mathrm{T,DNN}}^\text{miss}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T, DNN}}^{\text{miss}},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0.56<$\phi$<0.82 is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

The observed (black markers) and simulated two-dimensional distribution of $p_{\mathrm{T,DNN}}^\text{miss}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T, DNN}}^{\text{miss}},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0.82<$\phi$<1.08 is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

The observed (black markers) and simulated two-dimensional distribution of $p_{\mathrm{T,DNN}}^\text{miss}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T, DNN}}^{\text{miss}},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 1.08<$\phi$<2.14 is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

The observed (black markers) and simulated two-dimensional distribution of $p_{\mathrm{T,DNN}}^\text{miss}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T, DNN}}^{\text{miss}},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 2.14<$\phi$<3.2 is shown. Events from all data-taking periods and all channels are combined. The hatched (grey) areas indicate the systematic (total) uncertainty in the simulation. The lower panel of each plot shows the ratio of observed data to the expectation from MC simulation in each bin. The last bin includes all events above the plotted range.

Result of the closure test based on simulation accounting for potential BSM contributions based on a top squark pair production scenario with a stop mass of 525 GeV and a neutralino mass of 350 GeV. The potential BSM contribution is scaled by a factor of ten. The test is performed for the $p_{\text{T}}^{\nu\nu}$ using the nominal (black), the regularized (orange), and the bin-by-bin unfolding (purple), based on all data-taking periods combined. The unfolded distributions are compared to the expected distribution (red) based on the sum of the nominal dileptonic $t\bar{t}$ signal sample and BSM signal with the corresponding $\chi^2/\text{ndf}$ values given in the legend in square brackets. The distribution used for the response matrix, is shown in blue. The error bars correspond to the statistical uncertainty. The lower part shows the ratios between the unfolded and the expected distributions.

Result of the closure test based on simulation. The potential BSM contribution is scaled by a factor of ten. The test is performed for the 2D measurement of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ in the azimuthal angle range 0<$\phi$<0.56 using the nominal (black), the regularized (orange), and the bin-by-bin unfolding (purple), based on all data-taking periods combined. The unfolded distributions are compared to the expected distribution (red) based on the sum of the nominal dileptonic $t\bar{t}$ signal sample and BSM signal with the corresponding $\chi^2/\text{ndf}$ values given in the legend. The nominal distribution, used for the response matrix, is shown in blue. The error bars correspond to the statistical uncertainty. The lower part shows the ratios between the unfolded and the expected distributions.

Result of the closure test based on simulation. The potential BSM contribution is scaled by a factor of ten. The test is performed for the 2D measurement of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ in the azimuthal angle range 0.56<$\phi$<1.08 using the nominal (black), the regularized (orange), and the bin-by-bin unfolding (purple), based on all data-taking periods combined. The unfolded distributions are compared to the expected distribution (red) based on the sum of the nominal dileptonic $t\bar{t}$ signal sample and BSM signal with the corresponding $\chi^2/\text{ndf}$ values given in the legend. The nominal distribution, used for the response matrix, is shown in blue. The error bars correspond to the statistical uncertainty. The lower part shows the ratios between the unfolded and the expected distributions.

Result of the closure test based on simulation. The potential BSM contribution is scaled by a factor of ten. The test is performed for the 2D measurement of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ in the azimuthal angle range 1.08<$\phi$<3.14 using the nominal (black), the regularized (orange), and the bin-by-bin unfolding (purple), based on all data-taking periods combined. The unfolded distributions are compared to the expected distribution (red) based on the sum of the nominal dileptonic $t\bar{t}$ signal sample and BSM signal with the corresponding $\chi^2/\text{ndf}$ values given in the legend. The nominal distribution, used for the response matrix, is shown in blue. The error bars correspond to the statistical uncertainty. The lower part shows the ratios between the unfolded and the expected distributions.

The measured differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The measured differential signal cross section (black markers) as a function of $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The measured two-dimensional differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0<$\phi$<0.56 is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The measured two-dimensional differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0.56<$\phi$<1.08 is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The measured two-dimensional differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 1.08<$\phi$<3.14 is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The normalized measured differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The normalized measured differential signal cross section (black markers) as a function of $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The normalized measured two-dimensional differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0<$\phi$<0.56 is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The normalized measured two-dimensional differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 0.56<$\phi$<1.08 is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

The normalized measured two-dimensional differential signal cross section (black markers) as a function of $p_{\text{T}}^{\nu\nu}$ and $\text{min}[\Delta\phi(\vec{p}_{\text{T}}^{\nu\nu},\vec{p}_{\text{T}}^{\ell})]$ for the azimuthal angle range 1.08<$\phi$<3.14 is shown. The theoretical predictions from POWHEG+PYTHIA (dark red), POWHEG+HERWIG (orange), MC@NLO+PYTHIA (purple), and the fixed-order NLO (light blue) and NNLO (brown) calculations are compared to the measurement. The total (statistical) uncertainty in the measurement is shown as an orange (dark grey) band. The lower panel of each plot shows the ratio between theoretical predictions and the measurement.

FIG. 1: (a) Raw two-particle correlation signal $Y_2$ (red), background $aB_{inc}F_2$ (solid histogram), and background systematic uncertainty from a (dashed histograms). (b) Background-subtracted two-particle correlation $\hat{Y}_2$ (red), and systematic uncertainties due to a (dashed histograms) and flow (blue histograms). (c) Raw three-particle correlation $Y_3$. (d) $ba^2Y_{inc}^2$ . (e) Sum of trig-corr-bkgd and trigger flow. Data are from 12% central Au+Au collisions. Statistical errors in (a,b) are smaller than the point size.

FIG. 1: (a) Raw two-particle correlation signal $Y_2$ (red), background $aB_{inc}F_2$ (solid histogram), and background systematic uncertainty from a (dashed histograms). (b) Background-subtracted two-particle correlation $\hat{Y}_2$ (red), and systematic uncertainties due to a (dashed histograms) and flow (blue histograms). (c) Raw three-particle correlation $Y_3$. (d) $ba^2Y_{inc}^2$ . (e) Sum of trig-corr-bkgd and trigger flow. Data are from 12% central Au+Au collisions. Statistical errors in (a,b) are smaller than the point size.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

FIG. 2: Background subtracted three-particle correlations, $\hat{Y}_3$, for (a) pp, (b) d+Au, (c) 80-50% Au+Au, (d) 50-30% Au+Au, (e) 30-10% Au+Au, and (f) 12% central Au+Au. Statistical errors per bin are approximately $\pm$0.012 in (a) and $\pm$0.006 in (b), both at ($\pi$, $\pi$), and are $\pm$0.022, $\pm$0.049, $\pm$0.099 and $\pm$0.077 from (c) to (f), similar for all bins.

Projections of away-side three-particle correlations along the diagonal $\Sigma$ within 0 < $\Delta$ < 0.35 (squares) and along the off-diagonal $\Delta$ within |$\Sigma$| < 0.35 (points) in (a) d+Au and (b) 12% central Au+Au collisions. The shaded areas indicate systematic uncertainties on the off-diagonal projections. The histogram in (a) is the near-side off-diagonal projection. The histogram in (b) is the away-side off-diagonal projection of our result with a = b = 1. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Projections of away-side three-particle correlations along the diagonal $\Sigma$ within 0 < $\Delta$ < 0.35 (squares) and along the off-diagonal $\Delta$ within |$\Sigma$| < 0.35 (points) in (a) d+Au and (b) 12% central Au+Au collisions. The shaded areas indicate systematic uncertainties on the off-diagonal projections. The histogram in (a) is the near-side off-diagonal projection. The histogram in (b) is the away-side off-diagonal projection of our result with a = b = 1. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Three-particle correlation strength per radian$^2$ versus ($N_{part}$/2)$^{1/3}$ where $N_{part}$ is the number of participants. Some of the data points have been displaced in $N_{part}$ for clarity.