Correlated dihadron yield, per radian per unit of pseudorapidity, as a function of $\Delta\phi$ for -4.5 < $\Delta\eta$ < -2 in d+Au collisions, for high ZDC-Au activity data. Both the trigger and associated particles have 1 < $p_T$ < 3 GeV/c.

Correlated dihadron yield, per radian per unit of pseudorapidity, as a function of $\Delta\phi$ for 2 < $\Delta\eta$ < 4.5 in d+Au collisions, for low ZDC-Au activity data. Both the trigger and associated particles have 1 < $p_T$ < 3 GeV/c.

Correlated dihadron yield, per radian per unit of pseudorapidity, as a function of $\Delta\phi$ for 2 < $\Delta\eta$ < 4.5 in d+Au collisions, for high ZDC-Au activity data. Both the trigger and associated particles have 1 < $p_T$ < 3 GeV/c.

The $\Delta\eta$ dependence of the near-side (|$\Delta\phi$| < $\pi/3$) correlated yield. Positive(negative) $\eta$ corresponds to d(Au)-going direction. Only high ZDC-Au activity data are shown.

The $\Delta\eta$ dependence of the away-side (|$\Delta\phi - \pi$| < $\pi/3$) correlated yield. Positive(negative) $\eta$ corresponds to d(Au)-going direction. Only high ZDC-Au activity data are shown.

The $\Delta\eta$ dependence of the ratio of the near- to away-side correlated yields in d+Au collisions. Positive(negative) $\eta$ corresponds to d(Au)-going direction. Only high ZDC-Au activity data are shown.

The $\Delta\eta$ dependence of the second harmonic Fourier coefficient, V2, in low ZDC-Au activity d+Au collisions.

The $\Delta\eta$ dependence of the second harmonic Fourier coefficient, V2, in high ZDC-Au activity d+Au collisions.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by FTPC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC. Trigger particles are from TPC, and associated particles from FTPC-Au. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC. Trigger particles are from TPC, and associated particles from FTPC-d. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V1 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V1. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by FTPC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-Au. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-d. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V2 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be 10% on V2. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selections is by FTPC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-Au. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from FTPC-d. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

Fourier coefficient V3 versus the measured mid-rapidity charged particle $dN_{ch}/d\eta$. Event activity selection is by ZDC-Au. Trigger particles are from TPC, and associated particles from TPC. Systematic uncertainties are estimated to be smaller than statistical errors for V3. Errors shown are the quadratic sum of statistical and systematic errors.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the $N_{offline}^{trk}$ < 35 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K_{S}^{0}$ as a function of $p_{T}$ from the correlation in the 35 $\leq N_{offline}^{trk}$ < 60 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K_{S}^{0}$ as a function of $p_{T}$ from the correlation in the 60 $\leq N_{offline}^{trk}$ < 120 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the $N_{offline}^{trk}$ < 35 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 35 $\leq N_{offline}^{trk}$ < 60 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 60 $\leq N_{offline}^{trk}$ < 120 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the $N_{offline}^{trk}$ < 35 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 35 $\leq N_{offline}^{trk}$ < 60 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 60 $\leq N_{offline}^{trk}$ < 120 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K_{S}^{0}$ as a function of $p_{T}$ from the correlation in the $N_{offline}^{trk}$ < 35 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K_{S}^{0}$ as a function of $p_{T}$ from the correlation in the 35 $\leq N_{offline}^{trk}$ < 60 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K_{S}^{0}$ as a function of $p_{T}$ from the correlation in the 60 $\leq N_{offline}^{trk}$ < 120 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the $N_{offline}^{trk}$ < 35 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 35 $\leq N_{offline}^{trk}$ < 60 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 60 $\leq N_{offline}^{trk}$ < 120 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in pPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in pPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in PbPb.

The elliptic flow v2(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 120 $\leq N_{offline}^{trk}$ < 150 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 150 $\leq N_{offline}^{trk}$ < 185 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 220 multiplicity class in PbPb.

The elliptic flow per constituent quark v2(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 220 $\leq N_{offline}^{trk}$ < 260 multiplicity class in PbPb.

The triangular flow v3(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in PbPb.

The triangular flow v3(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in PbPb.

The triangular flow v3(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in PbPb.

The triangular flow per constituent quark v3(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in PbPb.

The triangular flow per constituent quark v3(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in PbPb.

The triangular flow v3(2, $|\Delta\eta| > 2$) extracted for all charged particles as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in pPb.

The triangular flow v3(2, $|\Delta\eta| > 2$) extracted for $K^{0}_{S}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in pPb.

The triangular flow v3(2, $|\Delta\eta| > 2$) extracted for $\Lambda/\bar{\Lambda}$ as a function of $p_{T}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in pPb.

The triangular flow per constituent quark v3(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $K^{0}_{S}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in pPb.

The triangular flow per constituent quark v3(2, $|\Delta\eta| > 2$)/$n_{q}$ extracted for $\Lambda/\bar{\Lambda}$ as a function of transverse kinetic energy per constituent quark $KE_{T}/n_{q}$ from the correlation in the 185 $\leq N_{offline}^{trk}$ < 350 multiplicity class in pPb.

The spin transfer $D_{LL}$ to (a) $\Lambda$ and (b) $\bar{\Lambda}$ hyperons produced at positive pseudorapidity with respect to the polarized proton beam from $MB$, $JP$, and $HT$ data versus hyperon transverse momenta $p_{T}$. The sizes of the statistical and systematic uncertainties are indicated by the vertical bars and bands, respectively. For clarity, the HT data points have been shifted slightly in $p_{T}$. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data.

Comparison of $\Lambda$ and $\bar{\Lambda}$ spin transfer $D_{LL}$ in polarized proton-proton collisions at $\sqrt{s} = 200 GeV$ for (a) positive and (b) negative $\eta$ versus $p_{T}$. The vertical bars and bands indicate the sizes of the statistical and systematic uncertainties, respectively. The $\bar{\Lambda}$ data points have been shifted slightly in $p_{T}$ for clarity. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data. The horizontal lines show model predictions evaluated at $\eta$ and largest $p_{T}$ of the data.

Comparison of $\Lambda$ and $\bar{\Lambda}$ spin transfer $D_{LL}$ in polarized proton-proton collisions at $\sqrt{s} = 200$ GeV for (a) positive and (b) negative $\eta$ versus $p_{T}$. The vertical bars and bands indicate the sizes of the statistical and systematic uncertainties, respectively. The $\bar{\Lambda}$ data points have been shifted slightly in $p_{T}$ for clarity. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data. The horizontal lines show model predictions evaluated at $\eta$ and largest $p_{T}$ of the data.

The spin transfer $D_{LL}$ to (a) $\Lambda$ and (b) $\bar{\Lambda}$ hyperons, calculated using the new $\alpha_\Lambda=0.732$ updated on PDG2020, produced at positive pseudorapidity with respect to the polarized proton beam from $MB$, $JP$, and $HT$ data versus hyperon transverse momenta $p_{T}$. The sizes of the statistical and systematic uncertainties are indicated by the vertical bars and bands, respectively. For clarity, the HT data points have been shifted slightly in $p_{T}$. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data.

The spin transfer $D_{LL}$ to (a) $\Lambda$ and (b) $\bar{\Lambda}$ hyperons, calculated using the new $\alpha_\Lambda=0.732$ updated on PDG2020, produced at positive pseudorapidity with respect to the polarized proton beam from $MB$, $JP$, and $HT$ data versus hyperon transverse momenta $p_{T}$. The sizes of the statistical and systematic uncertainties are indicated by the vertical bars and bands, respectively. For clarity, the HT data points have been shifted slightly in $p_{T}$. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data.

Comparison of $\Lambda$ and $\bar{\Lambda}$ spin transfer $D_{LL}$, calculated using the new $\alpha_\Lambda=0.732$ updated on PDG2020, in polarized proton-proton collisions at $\sqrt{s} = 200$ GeV for (a) positive and (b) negative $\eta$ versus $p_{T}$. The vertical bars and bands indicate the sizes of the statistical and systematic uncertainties, respectively. The $\bar{\Lambda}$ data points have been shifted slightly in $p_{T}$ for clarity. The dotted vertical lines indicate the $p_{T}$ intervals in the analysis of HT and JP data. The horizontal lines show model predictions evaluated at $\eta$ and largest $p_{T}$ of the data.

Near side ($|\Delta\varphi| < \pi/2$) longitudinal projection of the two-particle transverse momentum correlation $G_{2}^{\rm CI}$ for central (0-5%) Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$. Systematic uncertainty on the long-range mean correlator strength $\delta B = 6.9\times 10^{-4}$.

Near side ($|\Delta\varphi| < \pi/2$) longitudinal projection of the two-particle transverse momentum correlation $G_{2}^{\rm CI}$ for semi-central (30-40%) Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$. Systematic uncertainty on the long-range mean correlator strength $\delta B = 3.8\times 10^{-3}$.

Near side ($|\Delta\varphi| < \pi/2$) longitudinal projection of the two-particle transverse momentum correlation $G_{2}^{\rm CI}$ for perippheral (70-80%) Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$. Systematic uncertainty on the long-range mean correlator strength $\delta B = 5.5\times 10^{-2}$.

Azimuthal projection ($|\Delta\eta|<1.6$) of the two-particle transverse momentum correlation $G_{2}^{\rm CI}$ for central (0-5%) Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$. Systematic uncertainty on the long-range mean correlator strength $\delta B = 6.9\times 10^{-4}$.

Azimuthal projection ($|\Delta\eta|<1.6$) of the two-particle transverse momentum correlation $G_{2}^{\rm CI}$ for semi-central (30-40%) Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$. Systematic uncertainty on the long-range mean correlator strength $\delta B = 3.8\times 10^{-3}$.

Azimuthal projection ($|\Delta\eta|<1.6$) of the two-particle transverse momentum correlation $G_{2}^{\rm CI}$ for perippheral (70-80%) Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$. Systematic uncertainty on the long-range mean correlator strength $\delta B = 5.4\times 10^{-2}$.

Collision centrality evolution of the longitudinal widths of the two-particle transverse momentum correlations $G_{2}^{\rm CI}$ and $G_{2}^{\rm CD}$ in Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$.

Collision centrality evolution of the azimuthal widths of the two-particle transverse momentum correlations $G_{2}^{\rm CI}$ and $G_{2}^{\rm CD}$ in Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$.

Longitudinal width evolution with the number of participants of the two-particle transverse momentum correlation $G_{2}^{\rm CI}$ in Pb--Pb collisions at $\sqrt{s_{\rm NN}}=2.76\;\text{TeV}$. The widths are extracted from bi-dimensional (2D) or projection (1D) fits of the correlation function.

(color online) $A_{N}$ as a function of the corrected mean $p_{T}$ for 2006 transverse data. The panels present $A_{N}$ for four different $\eta$ bins. $A_{N}$ is the left-right single-spin asymmetry for a transversely polarized beam. The errors shown combine the statistical uncertainties, which dominate, with all systematic uncertainties except trigger and reconstruction bias. See Sect. V A for a discussion of the latter.

(color online) $A_{\Sigma}$ versus corrected mean $p_{T}$ for 2006 transverse data, averaged over the range $|\eta|$ < 0.8$. A_{\Sigma}$, the transverse double-spin asymmetry for transversely polarized beams, is defined in more detail in the text.

(color online) Measured transverse double-spin asymmetry versus azimuthal angle $\phi$ for 2006 transverse data. The points are fit with the function $A_{\sigma}+A_{TT}cos(2\phi)$. These data are averaged over $7.5<p_{T}<40$ GeV/c and $|\eta|<0.8$.

(color online) $A_{LL}$ for inclusive jet production versus corrected jet $p_{T}$ for 2005 data. For 2005 data we used a cone radius equal to 0.4 and a pseudorapidity range for the jet thrust axis of $0.2<\eta<0.8$. The error bars are statistical. The gray boxes show the systematic uncertainties.

(color online) $A_{LL}$ for inclusive jet production versus corrected jet $p_{T}$ for 2006 data. For 2006 data we used a jet cone radius equal to 0.7 and a pseudorapidity range of $−0.7<\eta<0.9$ to reflect the increased detector coverage. The error bars are statistical. The gray boxes show the systematic uncertainties.

The upper panel shows the jet yield vs detector jet pT in data and simulation for each of the three trigger categories. The lower three panels show the relative differences between data and simulation (JP1)

The upper panel shows the jet yield vs detector jet pT in data and simulation for each of the three trigger categories. The lower three panels show the relative differences between data and simulation (JP2)

Distributions of the charged hadrons within the jets as a function of the hadron longitudinal momentum fraction,z, for two typical detector jet pT bins

Distributions of the charged hadrons within the jets as a function of the hadron longitudinal momentum fraction,z, for two typical detector jet pT bins

Distributions of the charged hadrons within the jets as a function of the hadron longitudinal momentum transverse to the thrust axis,jT, for two typical detector jet pT bins (data, 8GeV/c)

Distributions of the charged hadrons within the jets as a function of the hadron longitudinal momentum transverse to the thrust axis,jT, for two typical detector jet pT bins (simulation, 8GeV/c)

Distributions of the charged hadrons within the jets as a function of the hadron longitudinal momentum transverse to the thrust axis,jT, for two typical detector jet pT bins (data, 34.4GeV/c)

Distributions of the charged hadrons within the jets as a function of the hadron longitudinal momentum transverse to the thrust axis,jT, for two typical detector jet pT bins (simulation, 34.4GeV/c)

The upper panel shows the electromagnetic fraction distribution for jets in a low-pT bin. The lower panel shows the electromagnetic fraction distributions in a higher pT bin for each of the three jet categories (JP0, 34.4GeV/c)

The upper panel shows the electromagnetic fraction distribution for jets in a low-pT bin. The lower panel shows the electromagnetic fraction distributions in a higher pT bin for each of the three jet categories

Dijet yield vs invariant mass as measured at the detector level. (JP0)

Dijet yield vs invariant mass as measured at the detector level. (JP1)

Dijet yield vs invariant mass as measured at the detector level. (JP2)

Dijet opening angle Delta phi distribution

Dijet opening angle Delta eta distribution

Distributions of the charged hadrons within the offaxis cones as a function of hadron pT

The ratio of simulation to data for pT < 2 GeV/c

the mean underlying event correction to the jet transverse momentum, as a function of detector jet pT

the mean underlying event correction to the dijet mass, as a function of detector dijet invariant mass, from data

the mean underlying event correction to the dijet mass, as a function of detector dijet invariant mass, from simulation

the observed longitudinal double-spin asymmetry of the underlying event contributions, as a function of detector jet pT

the sampled gluon x distributions, weighted by the partonic asymmetry (triggered detector jets, 8.0 GeV/c)

the sampled gluon x distributions, weighted by the partonic asymmetry (triggered detector jets, 34.4 GeV/c)

the sampled gluon x distributions, weighted by the partonic asymmetry (all parton jets, 8.0 GeV/c)

the sampled gluon x distributions, weighted by the partonic asymmetry (all parton jets, 34.4 GeV/c)

the inclusive jet asymmetries and systematic uncertainties,as function of pT compared to the theoretical predictions (Run12)

the inclusive jet asymmetries and systematic uncertainties,as function of pT compared to the theoretical predictions (DSSV14)

the inclusive jet asymmetries and systematic uncertainties,as function of pT compared to the theoretical predictions (NNPDFpol.1)

the inclusive jet asymmetries and systematic uncertainties,as function of pT compared to the theoretical predictions (NNPDFpol.1 -rep)

the inclusive jet asymmetries and systematic uncertainties, as function of xT compared to the theoretical predictions (Run12)

the inclusive jet asymmetries and systematic uncertainties, as function of xT compared to the theoretical predictions (Run9)

the inclusive jet asymmetries and systematic uncertainties, as function of xT compared to the theoretical predictions (DSSV14)

the inclusive jet asymmetries and systematic uncertainties, as function of xT compared to the theoretical predictions (NNPDFpol1.1)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,A,x1)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,A,x2)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,B,x1)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,B,x2)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,C,x1)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,C,x2)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,D,x1)

Leading order extractions from the embedding sample of the x1 and x2 distributions in dijet events for topological bins A-D (a,D,x2)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,A,DSSV14)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,B,DSSV14)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,C,DSSV14)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,D,DSSV14)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,A,NNPDF11)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,B,NNPDF11)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,C,NNPDF11)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,D,NNPDF11)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,A,data)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,B,data)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,C,data)

Dijet asymmetries for the same topological bins in 510 GeV pp collisions (b,D,data)

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.