Ratio of momentum anisotropy, v2, to initial coordinate anisotropy, epsilon2, versus mid-rapidity charged-particle multiplicity, dNch/deta. These are the data points for d+Au at 200 GeV. The epsilon2 values are determined using a Glauber model under various assumptions about the nucleon-nucleon interaction. The first y-value is for nucleons as point-like centers, the second y-value is for nucleons smeared as a Gaussian with a sigma of 0.4 fm, and the third y-value is for nucleons as disks with R = 1 fm.

Ratio of momentum anisotropy, v2, to initial coordinate anisotropy, epsilon2, versus mid-rapidity charged-particle multiplicity, dNch/deta. These are the data points for Au+Au at 200 GeV. The epsilon2 values are determined using a Glauber model under various assumption about the nucleon-nucleon interaction. The first y-value is for nucleons as point-like centers, the second y-value is for nucleons smeared as a Gaussian with a sigma of 0.4 fm, and the third y-value is for nucleons as disks with R = 1 fm.

The correlation differences $\Delta\langle A^{2}\rangle=\delta\langle A^{2}_{UD}\rangle-\delta\langle A^{2}_{ LR}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle=\delta\langle A_{+}A_{-}\rangle_{ UD}-\delta\langle A_{+}A_{-}\rangle_{ LR}$ as a function of $p_{T}$. The data are from 20-40% central (upper) and 0-20% central (lower) Au+Au collisions.

The charge asymmetry correlations $\delta\langle A^{2}\rangle$ (left panels) and $\delta\langle A_{+}A_{-}\rangle$ (center panels), and correlation differences $\Delta\langle A^{2}\rangle=\delta\langle A^{2}_{ UD}\rangle-\delta\langle A^{2}_{ LR}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle=\delta\langle A_{+}A_{-}\rangle_{ UD}-\delta\langle A_{+}A_{-}\rangle_{ LR}$ (right panels), as a function of the azimuthal elliptic anisotropy of high-$p_{T}$ ($p_{T}>2$~GeV/$c$) particles (upper panels) and low-$p_{T}$ ($p_{T}<2$~GeV/$c$) particles (lower panels). Data are from 20-40% Au+Au collisions. The particle $p_{T}$ range of $0.15<p_{T}<2$~GeV/$c$ is used for both EP construction and asymmetry calculation.

The charge asymmetry correlations $\delta\langle A^{2}\rangle$ (left panels) and $\delta\langle A_{+}A_{-}\rangle$ (center panels), and correlation differences $\Delta\langle A^{2}\rangle=\delta\langle A^{2}_{ UD}\rangle-\delta\langle A^{2}_{ LR}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle=\delta\langle A_{+}A_{-}\rangle_{ UD}-\delta\langle A_{+}A_{-}\rangle_{ LR}$ (right panels), as a function of the azimuthal elliptic anisotropy of high-$p_{T}$ ($p_{T}>2$~GeV/$c$) particles (upper panels) and low-$p_{T}$ ($p_{T}<2$~GeV/$c$) particles (lower panels). Data are from 20-40% Au+Au collisions. The particle $p_{T}$ range of $0.15<p_{T}<2$~GeV/$c$ is used for both EP construction and asymmetry calculation.

The wedge size dependences of charge multiplicity asymmetry correlations (upper panel), and their differences between out-of-plane and in-plane, $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ (lower panel) for 20-40% central Au+Au collisions.

The wedge size dependences of charge multiplicity asymmetry correlations (upper panel), and their differences between out-of-plane and in-plane, $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ (lower panel) for 20-40% central Au+Au collisions.

Charge multiplicity asymmetry correlations as a function of the wedge location, $\phi_{ w}$, in 20-40% central Au+Au collisions. The wedge size is $30^{\circ}$. The curves are the characteristic $\cos(2\phi_{ w}$) to guide the eye.

The wedge size dependence of the difference between the same-sign and opposite-sign, $\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$.

The values of $\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$, scaled by $N_{part}$, as a function of the measured average elliptic anisotropy $<v^{obs}_{2}}>$ in Au+Au collisions. The centrality bin number is labeled by each data point, 0 for 70-80% up to 8 for 0-5%.

$\Delta=\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$, the event-by-event elliptical anisotropy of particle distributions relative to the second-harmonic event plane reconstructed from TPC tracks (left panel) and the first harmonic event plane reconstructed from the ZDC-SMD neutron signals (middle panel), in 20-40% central Au+Au collisions. Right panel: Average $\Delta$ for events with $|v^{obs}_{2}|<0.04$ relative to the TPC event plane as a function of centrality.

$\Delta=\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$, the event-by-event elliptical anisotropy of particle distributions relative to the second-harmonic event plane reconstructed from TPC tracks (left panel) and the first harmonic event plane reconstructed from the ZDC-SMD neutron signals (middle panel), in 20-40% central Au+Au collisions. Right panel: Average $\Delta$ for events with $|v^{obs}_{2}|<0.04$ relative to the TPC event plane as a function of centrality.

$\Delta=\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$, the event-by-event elliptical anisotropy of particle distributions relative to the second-harmonic event plane reconstructed from TPC tracks (left panel) and the first harmonic event plane reconstructed from the ZDC-SMD neutron signals (middle panel), in 20-40% central Au+Au collisions. Right panel: Average $\Delta$ for events with $|v^{obs}_{2}|<0.04$ relative to the TPC event plane as a function of centrality.

Left panel: $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$ with a random EP in 20-40% Au+Au collisions. The lines depict the results with reconstructed EP lower right panel for comparison. Middle panel: The differences in $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ between the reconstructed EP and random EP results, respectively. Right panel: $\Delta=\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$ with a random EP (open triangles).

Left panel: $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$ with a random EP in 20-40% Au+Au collisions. The lines depict the results with reconstructed EP lower right panel for comparison. Middle panel: The differences in $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ between the reconstructed EP and random EP results, respectively. Right panel: $\Delta=\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$ with a random EP (open triangles).

Left panel: $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$ with a random EP in 20-40% Au+Au collisions. The lines depict the results with reconstructed EP lower right panel for comparison. Middle panel: The differences in $\Delta\langle A^{2}\rangle$ and $\Delta\langle A_{+}A_{-}\rangle$ between the reconstructed EP and random EP results, respectively. Right panel: $\Delta=\Delta\langle A^{2}\rangle-\Delta\langle A_{+}A_{-}\rangle$ as a function of $v^{obs}_{2}$ with a random EP (open triangles).

The correlation differences, $\langle A^{2}_{ LR}\rangle-\langle A^{2}_{ UD}\rangle$ and $\langle A_{+}A_{-}\rangle_{ LR}-\langle A_{+}A_{-}\rangle_{ UD}$, scaled by the number of participants $(\pi/4)^2 N_{part}$. Also shown are $\langle \cos(\phi_{\alpha}+\phi_{\beta}-2\phi_{c})\rangle/v_{2,c} \approx \langle \cos(\phi_{\alpha}+\phi_{\beta}-2\psi_{ RP}) \rangle$ of same- and opposite-sign particle pairs ($\alpha$ and $\beta$) calculated from particles used for the charge asymmetry correlations with particle $c$ from those used for EP construction. The upper panel shows the default results where particles are divided according to $\eta$; the lower panel shows results with particles divided randomly into two halves and compared to published correlators.

The correlation differences, $\langle A^{2}_{ LR}\rangle-\langle A^{2}_{ UD}\rangle$ and $\langle A_{+}A_{-}\rangle_{ LR}-\langle A_{+}A_{-}\rangle_{ UD}$, scaled by the number of participants $(\pi/4)^2 N_{part}$. Also shown are $\langle \cos(\phi_{\alpha}+\phi_{\beta}-2\phi_{c})\rangle/v_{2,c} \approx \langle \cos(\phi_{\alpha}+\phi_{\beta}-2\psi_{ RP}) \rangle$ of same- and opposite-sign particle pairs ($\alpha$ and $\beta$) calculated from particles used for the charge asymmetry correlations with particle $c$ from those used for EP construction. The upper panel shows the default results where particles are divided according to $\eta$; the lower panel shows results with particles divided randomly into two halves and compared to published correlators.

Upper panel: Positively charged particle multiplicity distributions versus the azimuthal angle, $\phi$, in 30-40% central Au+Au collisions. The data are shown separately for $\eta>0$ and $\eta<0$. The magnetic polarities of the STAR magnet have been summed and the $p_{T}$ is integrated over the range $0.15<p_{T}<2$~GeV/$c$. The inverse of these distributions, properly normalized, were used to correct for the track efficiency versus $\phi$. Lower panel: Reconstructed event-plane azimuthal angle distributions in 30-40% central Au+Au collisions. Particles within $0.15 < p_{T} < 2$~GeV/$c$ from $\eta<0$ and $\eta>0$ were used separately to reconstruct the EP.

Upper panel: Positively charged particle multiplicity distributions versus the azimuthal angle, $\phi$, in 30-40% central Au+Au collisions. The data are shown separately for $\eta>0$ and $\eta<0$. The magnetic polarities of the STAR magnet have been summed and the $p_{T}$ is integrated over the range $0.15<p_{T}<2$~GeV/$c$. The inverse of these distributions, properly normalized, were used to correct for the track efficiency versus $\phi$. Lower panel: Reconstructed event-plane azimuthal angle distributions in 30-40% central Au+Au collisions. Particles within $0.15 < p_{T} < 2$~GeV/$c$ from $\eta<0$ and $\eta>0$ were used separately to reconstruct the EP.

The relative charge asymmetry correlations, $\langle A_{+}A_{-}\rangle_{ UD}/\langle A_{+}A_{-}\rangle_{ LR}$, as a function of the number of participants, $N_{part}$, for four combinations of $\eta$ ranges used for EP reconstruction and asymmetry calculation.

The asymmetry correlations, $\langle A^{2}_{+,{ UD}}\rangle$ (left panel), $\langle A^{2}_{-,{ UD}}\rangle$ (middle panel), and $\langle A_{+}A_{-}\rangle_{ UD}$ (right panel), multiplied by the number of participants $N_{part}$, before and after the corrections for the $\phi$-dependent acceptance $\times$ efficiency. The colored curves are the corresponding statistical fluctuations and detector effects. The results are separated for $\eta>0$ and $\eta<0$. Only $\eta>0$ is shown for $\langle A^{2}_{+,{ UD}}\rangle$ and $\eta<0$ for $\langle A^{2}_{-,{ UD}}\rangle$ for clarity.

The asymmetry correlations, $\langle A^{2}_{+,{ UD}}\rangle$ (left panel), $\langle A^{2}_{-,{ UD}}\rangle$ (middle panel), and $\langle A_{+}A_{-}\rangle_{ UD}$ (right panel), multiplied by the number of participants $N_{part}$, before and after the corrections for the $\phi$-dependent acceptance $\times$ efficiency. The colored curves are the corresponding statistical fluctuations and detector effects. The results are separated for $\eta>0$ and $\eta<0$. Only $\eta>0$ is shown for $\langle A^{2}_{+,{ UD}}\rangle$ and $\eta<0$ for $\langle A^{2}_{-,{ UD}}\rangle$ for clarity.

The asymmetry correlations, $\langle A^{2}_{+,{ UD}}\rangle$ (left panel), $\langle A^{2}_{-,{ UD}}\rangle$ (middle panel), and $\langle A_{+}A_{-}\rangle_{ UD}$ (right panel), multiplied by the number of participants $N_{part}$, before and after the corrections for the $\phi$-dependent acceptance $\times$ efficiency. The colored curves are the corresponding statistical fluctuations and detector effects. The results are separated for $\eta>0$ and $\eta<0$. Only $\eta>0$ is shown for $\langle A^{2}_{+,{ UD}}\rangle$ and $\eta<0$ for $\langle A^{2}_{-,{ UD}}\rangle$ for clarity.

Left panel: Statistical fluctuation and detector effects in the charge asymmetry variance (multiplied by the number of participants $N_{part}$) from the $\eta<0$ region. The dotted curve shows the $1/N$ approximation, the dashed curve shows the statistical fluctuations $\langle A^{2}_{-,{ LR,stat}}\rangle$ obtained by the (50-50) method (see the text). The solid curve connecting the solid points shows the net effect of the statistical fluctuations and detector non-uniformities, $\langle A^{2}_{-,{ LR,stat+det}}\rangle$, obtained by the adding-$\pi$ method, and the crosses shows the same but obtained from the ``scramble'' method. See the text for details. Middle panel: The statistical fluctuation effects relative to the $1/N$ approximation (thin curves) and the effects due to the imperfect detector (thick curves). The dashed curves are for the region $\eta>0$ and the solid curves are for $\eta<0$. Right panel: The ratios of the statistical fluctuation and detector effects $\langle A^{2}_{+,{ LR,stat+det}}\rangle/\langle A^{2}_{-,{ LR,stat+det}}\rangle$ and $\langle A^{2}_{+,{ UD,stat+det}}\rangle/\langle A^{2}_{+,{ LR,stat+det}}\rangle$, separately for the $\eta>0$ and $\eta<0$ regions. The $\phi$-acceptance correction was applied for the results in this figure.

Left panel: Statistical fluctuation and detector effects in the charge asymmetry variance (multiplied by the number of participants $N_{part}$) from the $\eta<0$ region. The dotted curve shows the $1/N$ approximation, the dashed curve shows the statistical fluctuations $\langle A^{2}_{-,{ LR,stat}}\rangle$ obtained by the (50-50) method (see the text). The solid curve connecting the solid points shows the net effect of the statistical fluctuations and detector non-uniformities, $\langle A^{2}_{-,{ LR,stat+det}}\rangle$, obtained by the adding-$\pi$ method, and the crosses shows the same but obtained from the ``scramble'' method. See the text for details. Middle panel: The statistical fluctuation effects relative to the $1/N$ approximation (thin curves) and the effects due to the imperfect detector (thick curves). The dashed curves are for the region $\eta>0$ and the solid curves are for $\eta<0$. Right panel: The ratios of the statistical fluctuation and detector effects $\langle A^{2}_{+,{ LR,stat+det}}\rangle/\langle A^{2}_{-,{ LR,stat+det}}\rangle$ and $\langle A^{2}_{+,{ UD,stat+det}}\rangle/\langle A^{2}_{+,{ LR,stat+det}}\rangle$, separately for the $\eta>0$ and $\eta<0$ regions. The $\phi$-acceptance correction was applied for the results in this figure.

Left panel: Statistical fluctuation and detector effects in the charge asymmetry variance (multiplied by the number of participants $N_{part}$) from the $\eta<0$ region. The dotted curve shows the $1/N$ approximation, the dashed curve shows the statistical fluctuations $\langle A^{2}_{-,{ LR,stat}}\rangle$ obtained by the (50-50) method (see the text). The solid curve connecting the solid points shows the net effect of the statistical fluctuations and detector non-uniformities, $\langle A^{2}_{-,{ LR,stat+det}}\rangle$, obtained by the adding-$\pi$ method, and the crosses shows the same but obtained from the ``scramble'' method. See the text for details. Middle panel: The statistical fluctuation effects relative to the $1/N$ approximation (thin curves) and the effects due to the imperfect detector (thick curves). The dashed curves are for the region $\eta>0$ and the solid curves are for $\eta<0$. Right panel: The ratios of the statistical fluctuation and detector effects $\langle A^{2}_{+,{ LR,stat+det}}\rangle/\langle A^{2}_{-,{ LR,stat+det}}\rangle$ and $\langle A^{2}_{+,{ UD,stat+det}}\rangle/\langle A^{2}_{+,{ LR,stat+det}}\rangle$, separately for the $\eta>0$ and $\eta<0$ regions. The $\phi$-acceptance correction was applied for the results in this figure.

The asymmetry correlations, $\langle A^{2}_{+,{ UD}}\rangle$ (left panel), $\langle A^{2}_{-,{ UD}}\rangle$ (middle panel), and $\langle A_{+}A_{-}\rangle_{ UD}$ (right panel), multiplied by the number of participants $N_{part}$, separately for $\eta>0$ and $\eta<0$. The star and triangle depict the results from $d$+Au collisions. The net effects of the statistical fluctuations and detector non-uniformities are shown as the curves.

The asymmetry correlations, $\langle A^{2}_{+,{ UD}}\rangle$ (left panel), $\langle A^{2}_{-,{ UD}}\rangle$ (middle panel), and $\langle A_{+}A_{-}\rangle_{ UD}$ (right panel), multiplied by the number of participants $N_{part}$, separately for $\eta>0$ and $\eta<0$. The star and triangle depict the results from $d$+Au collisions. The net effects of the statistical fluctuations and detector non-uniformities are shown as the curves.

The asymmetry correlations, $\langle A^{2}_{+,{ UD}}\rangle$ (left panel), $\langle A^{2}_{-,{ UD}}\rangle$ (middle panel), and $\langle A_{+}A_{-}\rangle_{ UD}$ (right panel), multiplied by the number of participants $N_{part}$, separately for $\eta>0$ and $\eta<0$. The star and triangle depict the results from $d$+Au collisions. The net effects of the statistical fluctuations and detector non-uniformities are shown as the curves.

The statistical and detector effect subtracted asymmetry correlations, $\delta\langle A^{2}_{+,0^{\circ}\pm\Delta\phi_{w}}\rangle$ (left panel), $\delta\langle A^{2}_{-,0^{\circ}\pm\Delta\phi_{w}}\rangle$ (middle panel), and $\delta\langle A_{+}A_{-}\rangle_{ LR}$ (right panel), multiplied by the number of participants $N_{part}$, before and after the corrections for the $\phi$-dependent acceptance $\times$ efficiency.

The statistical and detector effect subtracted asymmetry correlations, $\delta\langle A^{2}_{+,0^{\circ}\pm\Delta\phi_{w}}\rangle$ (left panel), $\delta\langle A^{2}_{-,0^{\circ}\pm\Delta\phi_{w}}\rangle$ (middle panel), and $\delta\langle A_{+}A_{-}\rangle_{ LR}$ (right panel), multiplied by the number of participants $N_{part}$, before and after the corrections for the $\phi$-dependent acceptance $\times$ efficiency.

The statistical and detector effect subtracted asymmetry correlations, $\delta\langle A^{2}_{+,0^{\circ}\pm\Delta\phi_{w}}\rangle$ (left panel), $\delta\langle A^{2}_{-,0^{\circ}\pm\Delta\phi_{w}}\rangle$ (middle panel), and $\delta\langle A_{+}A_{-}\rangle_{ LR}$ (right panel), multiplied by the number of participants $N_{part}$, before and after the corrections for the $\phi$-dependent acceptance $\times$ efficiency.

Dynamical charge asymmetry variance after removing the statistical and detector effects, $\delta\langle A^{2}_{\pm,{ LR}}\rangle=\langle A^{2}_{\pm,{ LR}}\rangle-\langle A^{2}_{\pm,{ LR,stat+det}}\rangle$, scaled by the number of participants $N_{part}$. The results are consistent between positive and negative $\eta$ regions and between positive and negative charges.

The second-harmonic event-plane resolution of sub-events ($\eta<0$ and $\eta>0$) as a function of the number of participants.

Charge multiplicity asymmetry correlations, $\delta\langle A^{2}\rangle$ (left panel) and $\delta\langle A_{+}A_{-}\rangle$ (middle panel), and their differences between UD\ and LR\ (right panel) as a function of the event-plane resolution $\epsilon_{ EP}(f)=\sqrt{\mean{\cos2(\psi_{{ EP},\eta>0}(f)-\psi_{{ EP},\eta<0}(f))}}$ in 20-30% central Au+Au collisions. The solid lines are free linear fits to the data, while the dashed lines are linear fits with the intercept fixed to zero at $\epsilon_{ EP}(f)=0$.

Charge multiplicity asymmetry correlations, $\delta\langle A^{2}\rangle$ (left panel) and $\delta\langle A_{+}A_{-}\rangle$ (middle panel), and their differences between UD\ and LR\ (right panel) as a function of the event-plane resolution $\epsilon_{ EP}(f)=\sqrt{\mean{\cos2(\psi_{{ EP},\eta>0}(f)-\psi_{{ EP},\eta<0}(f))}}$ in 20-30% central Au+Au collisions. The solid lines are free linear fits to the data, while the dashed lines are linear fits with the intercept fixed to zero at $\epsilon_{ EP}(f)=0$.

TCharge multiplicity asymmetry correlations, $\delta\langle A^{2}\rangle$ (left panel) and $\delta\langle A_{+}A_{-}\rangle$ (middle panel), and their differences between UD\ and LR\ (right panel) as a function of the event-plane resolution $\epsilon_{ EP}(f)=\sqrt{\mean{\cos2(\psi_{{ EP},\eta>0}(f)-\psi_{{ EP},\eta<0}(f))}}$ in 20-30% central Au+Au collisions. The solid lines are free linear fits to the data, while the dashed lines are linear fits with the intercept fixed to zero at $\epsilon_{ EP}(f)=0$.

The TPC second-harmonic (upper left) and ZDC-SMD first harmonic (upper right) event-plane resolution as a function of $v^{obs}_{2}$ in 20-40% central Au+Au collisions. The TPC second-harmonic (lower left) and ZDC-SMD first harmonic (lower right) event-plane resolution for events with $|v^{obs}_{2}|<0.04$ as a function of centrality.

The TPC second-harmonic (upper left) and ZDC-SMD first harmonic (upper right) event-plane resolution as a function of $v^{obs}_{2}$ in 20-40% central Au+Au collisions. The TPC second-harmonic (lower left) and ZDC-SMD first harmonic (lower right) event-plane resolution for events with $|v^{obs}_{2}|<0.04$ as a function of centrality.

The TPC second-harmonic (upper left) and ZDC-SMD first harmonic (upper right) event-plane resolution as a function of $v^{obs}_{2}$ in 20-40% central Au+Au collisions. The TPC second-harmonic (lower left) and ZDC-SMD first harmonic (lower right) event-plane resolution for events with $|v^{obs}_{2}|<0.04$ as a function of centrality.

The TPC second-harmonic (upper left) and ZDC-SMD first harmonic (upper right) event-plane resolution as a function of $v^{obs}_{2}$ in 20-40% central Au+Au collisions. The TPC second-harmonic (lower left) and ZDC-SMD first harmonic (lower right) event-plane resolution for events with $|v^{obs}_{2}|<0.04$ as a function of centrality.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of fourth jet rapidity for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton transverse momentum for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of lepton pseudorapidity for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two highest pT jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two most rapidity-separated hard (pT>20 GeV) jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of rapidity separation between the two most rapidity-separated hard (pT>20 GeV) jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of azimuthal angle separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of azimuthal angle separation between the two most rapidity-separated hard (pT>20 GeV) jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of DeltaR separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

.

.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of W boson pT for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of the transverse momentum of the dijet system of the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of the transverse momentum of the dijet system of the two highest pT jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of dijet invariant mass of the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of dijet invariant mass of the two highest pT jets for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with three or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Differential production cross-section, normalized to the measured inclusive W boson cross-section, as a function of HT for events with four or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of HT for events with one or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of HT for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of the rapidity separation between the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Average number of jets as a function of the rapidity separation between the two most rapidity separated jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Probability of third jet emission as a function of the rapidity separation of the two highest pT jets for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Probability of third jet emission as a function of the rapidity separation of the two most rapidity-separated hard (pT>20 GeV) for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Probability of third jet emission as a function of rapidity separation between the two highest pT jets with the requirement that the additional jet be emitted into the rapidity interval defined by the two highest pT jets, for events with two or more jets produced in association with a W boson. First uncertainty is statistical, second uncertainty is systematic.

Fraction of events with two jets produced in association with a W boson that do not contain a third hard (pT>20 GeV) jet in the rapidity interval between the two highest pT jets, as a function of rapidity separation between the two highest pT jets. First uncertainty is statistical, second uncertainty is systematic.

Fraction of events with two jets produced in association with a W boson that do not contain a third hard (pT>20 GeV) jet in the rapidity interval between the two most rapidity-separated jets, as a function of rapidity separation between the two most rapidity-separated jets. First uncertainty is statistical, second uncertainty is systematic.

Jet-hadron correlations after background subtraction. Shown with Gaussian fits to jet peaks and systematic uncertanty bands Au+Au(4-6 GeV).

Gaussian widths of the awayside jet peaks in p+p(10-15 GeV).

Gaussian widths of the awayside jet peaks in Au+Au(10-15 GeV).

Gaussian widths of the awayside jet peaks in p+p(20-40 GeV).

Gaussian widths of the awayside jet peaks in Au+Au(20-40 GeV).

Awayside momentum difference(DAA) shown for 10-15 GeV.

Awayside momentum difference(DAA) shown for 10-15 GeV.

The bin-averaged differential cross section as a function of ETARAP. The (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties.

The bin-averaged differential cross section as a function of Y for the Q^2 ranges 5-9 and 9-23 GeV^2. The (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties.

The bin-averaged differential cross section as a function of Y for the Q^2 ranges 23-45 and 45-100 GeV^2. The (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties.

The bin-averaged differential cross section as a function of Y for the Q^2 range 100-1000 GeV^2. The (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties.

The values of F2(CC) and SIG(REDUCED) as a function of X for Q^2=6.5 GeV^2 The first (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties. The second (sys) error is the theoretical uncertainty.

The values of F2(CC) and SIG(REDUCED) as a function of X for Q^2=20.4 GeV^2 The first (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties. The second (sys) error is the theoretical uncertainty.

The values of F2(CC) and SIG(REDUCED) as a function of X for Q^2=35 GeV^2 The first (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties. The second (sys) error is the theoretical uncertainty.

The values of F2(CC) and SIG(REDUCED) as a function of X for Q^2=60 GeV^2 The first (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties. The second (sys) error is the theoretical uncertainty.

The values of F2(CC) and SIG(REDUCED) as a function of X for Q^2=200 GeV^2 The first (sys) error is the experimental systematic uncertainty, excluding the luminosity and branching ratio uncertainties. The second (sys) error is the theoretical uncertainty.

Total nonprompt X(3872) fraction without acceptance corrections.

Differential cross section for prompt P P --> X + anything times branching fraction X-> J/PSI pi+ pi-.

Cross section for prompt P P --> X + anything times branching fraction X-> J/PSI pi+ pi-.

Dipion invariant-mass spectrum for X(3872) ->J/PSI pi+pi- decays corrected for acceptance and efficiency, dividing by the total cross section for 0.5 < M(PI+PI-) < 0.78 GEV.

(Color online) Modulated sign correlations (msc) compared to the three-point correlator versus centrality for Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. Shown with triangles is the msc, Eq. 5. The systematic uncertainties will be shown in detail in Fig. 7. Diamonds and circles show the three-point correlator, Eq. 1, and the grey bars reflect the conditions of $\Delta p_{T}$ > 0.15 GeV/c and $\Delta\eta$ > 0.15 applied to the three-point correlator, to be discussed in the text. For comparison, the model calculation of THERMINATOR [21] is also shown.

(Color online) The msc split into 2 composite parts versus centrality for Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. Shaded areas represent the systematic uncertainty due to the event plane determination. For comparison with the $\Delta$msc term, we also put $−\nu_{2}/N$ and the model calculation of MEVSIM [24], to be described in the text.

(Color online) The msc split into 2 composite parts versus centrality for Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. Shaded areas represent the systematic uncertainty due to the event plane determination. For comparison with the $\Delta$msc term, we also put $−\nu_{2}/N$ and the model calculation of MEVSIM [24], to be described in the text.

(Color online) Three-point correlations split up into out-of-plane $(\langle sin(\Delta\phi_{\alpha}) sin(\Delta\phi_{\beta})\rangle)$ and in-plane $(\langle cos(\Delta\phi_{\alpha}) cos(\Delta\phi_{\beta})\rangle)$ composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$ GeV. (a)shows the correlations versus $\langle\eta\rangle$ = $(\eta_{\alpha}+\eta_{\beta})/2$. (b) shows the correlations versus $|\Delta\eta|$ = $|\eta_{\alpha}-\eta_{\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.

(Color online) Three-point correlations split up into out-of-plane $(\langle sin(\Delta\phi_{\alpha}) sin(\Delta\phi_{\beta})\rangle)$ and in-plane $(\langle cos(\Delta\phi_{\alpha}) cos(\Delta\phi_{\beta})\rangle)$ composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$ GeV. (a)shows the correlations versus $\langle\eta\rangle$ = $(\eta_{\alpha}+\eta_{\beta})/2$. (b) shows the correlations versus $|\Delta\eta|$ = $|\eta_{\alpha}-\eta_{\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.

(Color online) Three-point correlations split up into out-of-plane and in-plane composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. (a) shows the correlatios versus $\langle p_{T}\rangle$ = $(p_{T,\alpha}+p_{T,\beta})/2$. (b) shows the correlations versus $|\Delta p_{T}|$ = $|p_{T,\alpha}-p_{T,\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.

(Color online) Three-point correlations split up into out-of-plane and in-plane composite parts for 40 − 60% Au+Au collisions at $\sqrt{s_{NN}}$= 200 GeV. (a) shows the correlatios versus $\langle p_{T}\rangle$ = $(p_{T,\alpha}+p_{T,\beta})/2$. (b) shows the correlations versus $|\Delta p_{T}|$ = $|p_{T,\alpha}-p_{T,\beta}|$. Statistical errors are smaller than the symbol size. Systematic errors are given by the shaded bands and apply only to the difference of in-plane and out-of-plane parts.

Transverse mass dependence of Gaussian radii Rout, Rside and Rlong and of experimental values of the Gaussian fit parameter lambda for midrapidity kaon pairs from the 30% most central Au+Au collisions at sqrt(sNN)=200 GeV. The PHENIX datapoints of the plot in the paper are from Phys. Rev. Lett. 103, 142301 (2009).

Differential production cross-sections with respect to transverse momentum, dsigma / dp_T, of D*(2010)+ mesons or their charge conjugates in proton-proton collisions at center-of-mass (CM) energy sqrt(s) = 7 TeV. Measured in bins of hadron transverse momentum (p_T) and rapidity (y) with respect to the beam axis, where p_T and y are measured in the CM frame. Contributions of charm hadrons from the decays of b-hadrons have been removed.

Differential production cross-sections with respect to transverse momentum, dsigma / dp_T, of D_s+ mesons or their charge conjugates in proton-proton collisions at center-of-mass (CM) energy sqrt(s) = 7 TeV. Measured in bins of hadron transverse momentum (p_T) and rapidity (y) with respect to the beam axis, where p_T and y are measured in the CM frame. Contributions of charm hadrons from the decays of b-hadrons have been removed.

Combined cross section for c-cbar production. The second systematic error is the uncertainty due to the fragmentation functions.

Bin integrated production cross sections for prompt LAMBDA/C+ + CC baryons in YRAP bins integrated over PT from 2-8 GeV/c.