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.

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.

Normalised distribution of (1-THRUST) where THRUST is w.r.t the axis which maximises the sum of the longitudinal momenta in the current hemisphere, for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the axis which maximises the sum of the longitudinal momenta in the current hemisphere, for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the axis which maximises the sum of the longitudinal momenta in the current hemisphere, for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the axis which maximises the sum of the longitudinal momenta in the current hemisphere, for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the vitrual photon axis, for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the vitrual photon axis, for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the vitrual photon axis, for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the vitrual photon axis, for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the vitrual photon axis, for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the vitrual photon axis, for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Normalised distribution of (1-THRUST) where THRUST is w.r.t the vitrual photon axis, for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Normalised distribution of Jet Broadening (B), for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Normalised distribution of Jet Broadening (B), for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Normalised distribution of Jet Broadening (B), for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Normalised distribution of Jet Broadening (B), for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Normalised distribution of Jet Broadening (B), for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Normalised distribution of Jet Broadening (B), for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Normalised distribution of Jet Broadening (B), for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Normalised distribution of the squared Jet Mass (RHO), for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Normalised distribution of the squared Jet Mass (RHO), for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Normalised distribution of the squared Jet Mass (RHO), for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Normalised distribution of the squared Jet Mass (RHO), for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Normalised distribution of the squared Jet Mass (RHO), for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Normalised distribution of the squared Jet Mass (RHO), for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Normalised distribution of the squared Jet Mass (RHO), for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Normalised distribution of the C-Parameter, for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Normalised distribution of the C-Parameter, for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Normalised distribution of the C-Parameter, for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Normalised distribution of the C-Parameter, for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Normalised distribution of the C-Parameter, for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Normalised distribution of the C-Parameter, for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Normalised distribution of the C-Parameter, for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Mean values of the event shape variables.

Covariance matrix for (1-THRUST(C)), for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Covariance matrix for (1-THRUST(C)), for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Covariance matrix for (1-THRUST(C)), for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Covariance matrix for (1-THRUST(C)), for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Covariance matrix for (1-THRUST(C)), for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Covariance matrix for (1-THRUST(C)), for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Covariance matrix for (1-THRUST(C)), for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Covariance matrix for (1-THRUST), for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Covariance matrix for (1-THRUST), for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Covariance matrix for (1-THRUST), for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Covariance matrix for (1-THRUST), for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Covariance matrix for (1-THRUST), for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Covariance matrix for (1-THRUST), for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Covariance matrix for (1-THRUST), for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Covariance matrix for the Jet Broadening (B), for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Covariance matrix for the Jet Broadening (B), for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Covariance matrix for the Jet Broadening (B), for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Covariance matrix for the Jet Broadening (B), for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Covariance matrix for the Jet Broadening (B), for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Covariance matrix for the Jet Broadening (B), for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Covariance matrix for the Jet Broadening (B), for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Covariance matrix for the squared Jet Mass (RHO), for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Covariance matrix for the squared Jet Mass (RHO), for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Covariance matrix for the squared Jet Mass (RHO), for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Covariance matrix for the squared Jet Mass (RHO), for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Covariance matrix for the squared Jet Mass (RHO), for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Covariance matrix for the squared Jet Mass (RHO), for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Covariance matrix for the squared Jet Mass (RHO), for Q = 100.0 to 200.0 GeV and X = 0.32300 .

Covariance matrix for the C-Parameter, for Q = 14.0 to 16.0 GeV and X = 0.00841 .

Covariance matrix for the C-Parameter, for Q = 16.0 to 20.0 GeV and X = 0.01180 .

Covariance matrix for the C-Parameter, for Q = 20.0 to 30.0 GeV and X = 0.02090 .

Covariance matrix for the C-Parameter, for Q = 30.0 to 50.0 GeV and X = 0.04910 .

Covariance matrix for the C-Parameter, for Q = 50.0 to 70.0 GeV and X = 0.11600 .

Covariance matrix for the C-Parameter, for Q = 70.0 to 100.0 GeV and X = 0.19900 .

Covariance matrix for the C-Parameter, for Q = 100.0 to 200.0 GeV and X = 0.32300 .