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.

Integrals of G1 over different X ranges for DEUT target at various Q*2 values. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD).. The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2. Axis error includes +- 5.0/5.0 contribution.

Integrals of G1 over different X ranges for N target at various Q*2 values. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD).. The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2.

Integral of G1 for the Non-Singet contribution. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD).. The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2. Axis error includes +- 5.2/5.2 contribution.

The measured and Born asymmetries for the proton target at the average values of the average values of X, Y,and Q**2 in 45 bins. DSYS includes the 5.2 PCT normalization uncertainty.

The measured and Born asymmetries for the deuterium target at the average values of the average values of X, Y,and Q**2 in 45 bins. DSYS includes the 5 PCT normalization uncertainty.

Virtual photon asymmetries A1 for the proton and deuterium targets at the average values of X,and Q**2 in 45 bins. The first DSYS is the experimental uncertainty and includes the 5.2 (5.0) PCT normalization uncertainty for the proton (deuteron) data. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD).

Structure functions G1 for the proton and deuterium targets at the average values of X,and Q**2 in 45 bins. The first DSYS is the experimental uncertainty and includes the 5.2 (5.0) PCT normalization uncertainty for the proton (deuteron) data. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD).

Virtual photon asymmetries A1 for the proton and deuterium targets at the average values of X,and Q**2 in 19 bins. The first DSYS is the experimental uncertainty and includes the 5.2 (5.0) PCT normalization uncertainty for the proton (deuteron) data. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD). The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2.

Structure functions G1 for the proton and deuterium targets at the average values of X,and Q**2 in 19 bins. The first DSYS is the experimental uncertainty and includes the 5.2 (5.0) PCT normalization uncertainty for the proton (deuteron) data. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD). The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2.

Structure functions G1 for the proton and deuterium targets at the average values of X,and Q**2 in 15 bins. The first DSYS is the experimental uncertainty and includes the 5.2 (5.0) PCT normalization uncertainty for the proton (deuteron) data. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD). The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2.

Virtual photon asymmetries A1 for the proton and deuterium targets at the average values of X,and Q**2 in 15 bins. The first DSYS is the experimental uncertainty and includes the 5.2 (5.0) PCT normalization uncertainty for the proton (deuteron) data. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD). The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2.

Structure functions G1(n) and G1(NS)for the proton and deuterium targets at the average values of X,and Q**2 in 45 bins. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD).

Structure functions G1(n) and G1(NS)for the proton and deuterium targets at the average values of X,and Q**2 in 19 bins. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD). The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2.

Structure functions G1(n) and G1(NS)for the proton and deuterium targets at the average values of X,and Q**2 in 15 bins. The second DSYS systematic error is due to the uncertainty in the parameterizations (R, F2, A2, Azz, omegaD). The third DSYS systematic error is due to the uncertainty in evolving to a common Q**2.

Correlation matrix for the Asymmetry, A1 and G1 for the P target at the average values of X and Q**2 in 45 bins.

Correlation matrix for the Asymmetry, A1 and G1 for the DEUT target at the average values of X and Q**2 in 45 bins.

Correlation matrix for G1 for the P target in 19 X bins (averaged over Q**2).

Correlation matrix for G1 for the DEUT target in 19 X bins (averaged over Q**2).

Correlation matrix for G1 for the P target in 15 X bins (Q**2 > 1 GeV**2), averaged over Q**2.

Correlation matrix for G1 for the DEUT target in 15 X bins (Q**2 > 1 GeV**2), averaged over Q**2.

Correlation Asymmetry data from the upgraded detector.

Combined correlation data.

Combined correlation asymmetry data.