Distribution of the four-lepton invariant mass in the four-lepton final state for the ggF-MVA-low category.

Distribution of the four-lepton invariant mass in the four-lepton final state for the VBF-MVA-enriched category.

Distribution of the transverse mass in the llvv final state for the ggF-enriched eevv category.

Distribution of the transverse mass in the llvv final state for the ggF-enriched mumuvv category.

Distribution of the transverse mass in the llvv final state for the VBF-enriched eevv category.

Distribution of the transverse mass in the llvv final state for the VBF-enriched mumuvv category.

The upper limits at 95% CL on the cross section times branching ratio as a function of the heavy resonance mass for the ggF production mode

The upper limits at 95% CL on the cross section times branching ratio as a function of the heavy resonance mass for the VBF production mode

The upper limits at 95% CL on the cross section for the ggF production mode times branching ratio as a function of the heavy resonance mass for an additional heavy scalar assuming a width of 1% of its mass

The upper limits at 95% CL on the cross section for the ggF production mode times branching ratio as a function of the heavy resonance mass for an additional heavy scalar assuming a width of 5% of its mass

The upper limits at 95% CL on the cross section for the ggF production mode times branching ratio as a function of the heavy resonance mass for an additional heavy scalar assuming a width of 10% of its mass

The upper limits at 95% CL on the cross section for the ggF production mode times branching ratio as a function of the heavy resonance mass for an additional heavy scalar assuming a width of 15% of its mass

The upper limits at 95% CL on the cross section times branching ratio for a KK graviton produced with k/M_{PI} = 1

The values of $\Delta \langle p^{2}_{\rm T}\rangle$ as a function of centrality at backward ($-4.46 < y_{\rm cms} < -2.96$) and forward ($2.03 < y_{\rm cms} < 3.53$) centre-of-mass rapidity. The first uncertainty is statistical, the second and third ones are the systematic uncertainties. The third is related to the uncertainty on the $\langle p^{2}_{\rm T} \rangle$ in pp collisions and is correlated over centrality.

The nuclear modification factor ($Q_{\rm pPb}$) of inclusive J/$\psi$ as function of $\langle N_{\rm coll} \rangle$ at backward ($-4.46 < y_{\rm cms} < -2.96$) and forward ($2.03 < y_{\rm cms} < 3.53$) centre-of-mass rapidity. The first uncertainty is statistical, the second and third ones are the systematic uncertainties. The third uncertainty is fully correlated over centrality.

The $p_{\rm T}$-differential inclusive J/$\psi$ $Q_{\rm pPb}$ for six centrality classes at backward ($-4.46 < y_{\rm cms} < -2.96$) centre-of-mass rapidity. The first uncertainty is statistical, the second one and the third ones are the uncorrelated and correlated systematic uncertainties, respectively. The third uncertainty is fully correlated over $p_{\rm T}$. The fourth uncertainty is the correlated systematic which is common for all centrality classes. In Figure 7 correlated systematic uncertainties are added in quadrature.

The $p_{\rm T}$-differential inclusive J/$\psi$ $Q_{\rm pPb}$ for six centrality classes at forward ($2.03 < y_{\rm cms} < 3.53$) centre-of-mass rapidity. The first uncertainty is statistical, the second one and the third ones are the uncorrelated and correlated systematic uncertainties, respectively. The third uncertainty is fully correlated over $p_{\rm T}$. The fourth uncertainty is the correlated systematic which is common for all centrality classes. In Figure 8 correlated systematic uncertainties are added in quadrature.

The ratio of inclusive J/$\psi$ $Q_{\rm pPb}$ between peripheral to central collisions ($Q_{\rm PC}$) as function of $p_{\rm T}$ for six centrality classes at backward ($-4.46 < y_{\rm cms} < -2.96$) centre-of-mass rapidity. The first uncertainty is statistical, the second one and the third ones are the systematic uncertainties. The third uncertainty is fully correlated over $p_{\rm T}$.

The ratio of inclusive J/$\psi$ $Q_{\rm pPb}$ between peripheral to central collisions ($Q_{\rm PC}$) as a function of $p_{\rm T}$ for six centrality classes at forward ($2.03 < y_{\rm cms} < 3.53$) centre-of-mass rapidity. The first uncertainty is statistical, the second and the third ones are the systematic uncertainties. The third uncertainty is fully correlated over $p_{\rm T}$.

B.R.$_{\psi(\rm 2S)\rightarrow\mu^{+}\mu^{-}}{\sigma_{\psi(\rm 2S)}}$/B.R.$_{J/\psi\rightarrow\mu^{+}\mu^{-}}{\sigma_{\rm J/\psi}}$ as a function of $\langle N_{\rm coll} \rangle$ at backward ($-4.46 < y_{\rm cms} < -2.96$) centre-of-mass rapidity. The first uncertainty is statistical, the second and the third ones are the systematic uncertainties. The third uncertainty is fully correlated over centrality.

B.R.$_{\psi(\rm 2S)\rightarrow\mu^{+}\mu^{-}}{\sigma_{\psi(\rm 2S)}}$/B.R.$_{J/\psi\rightarrow\mu^{+}\mu^{-}}{\sigma_{\rm J/\psi}}$ as a function of $\langle N_{\rm coll} \rangle$ at forward ($2.03 < y_{\rm cms} < 3.53$) centre-of-mass rapidity. The first uncertainty is statistical, the second and the third ones are the systematic uncertainties. The third uncertainty is fully correlated over centrality.

Double ratio $[\sigma_{\psi(\rm 2S)}/\sigma_{\rm J/\psi}]_{\rm pPb}/[\sigma_{\psi(\rm 2S)}/\sigma_{\rm J/\psi}]_{\rm pp}$ as a function of $\langle N_{\rm coll} \rangle$ at backward ($-4.46 < y_{\rm cms} < -2.96$) centre-of-mass rapidity. The first uncertainty is statistical, the second and the third ones are the systematic uncertainties. The third uncertainty is fully correlated over centrality.

Double ratio $[\sigma_{\psi(\rm 2S)}/\sigma_{\rm J/\psi}]_{\rm pPb}/[\sigma_{\psi(\rm 2S)}/\sigma_{\rm J/\psi}]_{\rm pp}$ as a function of $\langle N_{\rm coll} \rangle$ at forward ($2.03 < y_{\rm cms} < 3.53$) centre-of-mass rapidity. The first uncertainty is statistical, the second and the third ones are the systematic uncertainties. The third uncertainty is fully correlated over centrality.

Inclusive $\psi$(2S) $Q_{\rm pPb}$ as a function of $\langle N_{\rm coll} \rangle$ at backward ($-4.46 < y_{\rm cms} < -2.96$) centre-of-mass rapidity. The first uncertainty is statistical, the second is the uncorrelated systematic, the third is the correlated systematic for $\psi$(2S) or J/$\psi$ only while the fourth one is the correlated systematic shared among $\psi$(2S) and J/$\psi$.

Inclusive $\psi$(2S) $Q_{\rm pPb}$ as a function of $\langle N_{\rm coll} \rangle$ at forward ($2.03 < y_{\rm cms} < 3.53$) centre-of-mass rapidity. The first uncertainty is statistical, the second is the uncorrelated systematic, the third is the correlated systematic for $\psi$(2S) or J/$\psi$ only while the fourth one is the correlated systematic shared among $\psi$(2S) and J/$\psi$.

Inclusive J/$\psi$ cross sections extrapolated from existing measurements at backward ($-4.46 < y < -2.96$) and forward ($2.03 < y < 3.53$) rapidity in pp collisions. The first and the second uncertainties are the uncorrelated and correlated systematic uncertainties, respectively. The correlated uncertainty is correlated over rapidity. This table refers to Fig. 1 of ALICE-PUBLIC-2020-007.

Inclusive $\psi$(2S) cross sections extrapolated from existing measurements at backward ($-4.46 < y < -2.96$) and forward ($2.03 < y < 3.53$) rapidity in pp collisions . The first and the second uncertainties are the uncorrelated and correlated systematic uncertainties, respectively. The correlated uncertainty is fully correlated over rapidity. This table refers Fig. 1 of ALICE-PUBLIC-2020-007.

The rapidity differential inclusive J/$\psi$ cross sections extrapolated from existing measurements for backward ($-4.46 < y < -2.96$) rapidity interval in pp collisions. The first and the second uncertainties are the uncorrelated and correlated systematic uncertainties, respectively. The correlated uncertainty is correlated over rapidity. This table refers Fig. 2 of ALICE-PUBLIC-2020-007.

The rapidity differential inclusive J/$\psi$ cross sections extrapolated from existing measurements for forward ($2.03 < y < 3.53$) rapidity interval in pp collisions. The first and the second uncertainties are the uncorrelated and correlated systematic uncertainties, respectively. The correlated uncertainty is correlated over rapidity. This table refers Fig. 2 of ALICE-PUBLIC-2020-007.

The $p_{\rm T}$-differential inclusive J/$\psi$ cross sections extrapolated from existing measurements at backward ($-4.46 < y < -2.96$) rapidity in pp collisions. The first and the second uncertainties are the uncorrelated and correlated systematic uncertainties, respectively. The correlated uncertainty is fully correlated over $p_{\rm T}$. This table refers Fig. 3 of ALICE-PUBLIC-2020-007.

The $p_{\rm T}$-differential inclusive J/$\psi$ cross sections extrapolated from existing measurements at forward ($2.03 < y < 3.53$) rapidity in pp collisions. The first and the second uncertainties are the uncorrelated and correlated systematic uncertainties, respectively. The correlated uncertainty is fully correlated over $p_{\rm T}$. This table refers Fig. 3 of ALICE-PUBLIC-2020-007.

The values of $\langle p_{\rm T} \rangle$ and $\langle p^{2}_{\rm T} \rangle$ of inclusive J/$\psi$ at backward ($-4.46 < y < -2.96$) and forward ($2.03 < y < 3.53$) rapidity calculated from extrapolated cross sections in pp collisions. The uncertainty is the systematic uncertainty. The systematic uncertainty is obtained as the quadratic sum of the uncorrelated and correlated systematic uncertainties. This table refers Fig. 4 of ALICE-PUBLIC-2020-007.

The $p_{T}$ dependance of $v_{4}^{Inclusive}$, $v_{4}^{Linear}$, $v_{4}^{Mode-coupled}$, $\chi_{4,22}$ and $\rho_{4,22}$

The $p_{T}$ dependance of $v_{5}^{Inclusive}$, $v_{5}^{Linear}$, $v_{5}^{Mode-coupled}$, $\chi_{5,23}$ and $\rho_{5,23}$

Fig. 2. (Color online.) Event-by-event photon multiplicity distributions (solid circles) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV} .$ The distributions for top $0-5 \%$ central $\mathrm{Au}+$ Au collisions and top $0-10 \%$ central $\mathrm{Cu}+\mathrm{Cu}$ collisions are also shown (open circles). The photon multiplicity distributions for central collisions are observed to be Gaussian (solid line). Only statistical errors are shown. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 2. (Color online.) Event-by-event photon multiplicity distributions (solid circles) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV} .$ The distributions for top $0-5 \%$ central $\mathrm{Au}+$ Au collisions and top $0-10 \%$ central $\mathrm{Cu}+\mathrm{Cu}$ collisions are also shown (open circles). The photon multiplicity distributions for central collisions are observed to be Gaussian (solid line). Only statistical errors are shown. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 2. (Color online.) Event-by-event photon multiplicity distributions (solid circles) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV} .$ The distributions for top $0-5 \%$ central $\mathrm{Au}+$ Au collisions and top $0-10 \%$ central $\mathrm{Cu}+\mathrm{Cu}$ collisions are also shown (open circles). The photon multiplicity distributions for central collisions are observed to be Gaussian (solid line). Only statistical errors are shown. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several centrality classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several centrality classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several centrality classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 3. (Color online.) Photon pseudorapidity distributions for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s}_{\mathrm{NN}}}=62.4$ and $200\mathrm{GeV}$. The results for several classes are shown. The solid curves are results of HIJING simulations for central $(0-5 \%$ for $\mathrm{Au}+\mathrm{Au}$ and $0-10 \%$ for $\mathrm{Cu}+\mathrm{Cu})$ and $30-40 \%$ mid-central collisions. The errors shown are systematic, statistical errors are negligible in comparison. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 4. (Color online.) Top panel: The number of photons divided by $\left\langle N_{\text{part}}\right\rangle / 2$ as a function of average number of participating nucleons for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s} _{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$ for $-3.7<\eta<-2.3 .$ Errors shown are systematic only and include those for $\left\langle N_{\text {part }}\right\rangle .$ Results from HIJING are shown as lines (solid for $\mathrm{Au}+\mathrm{Au}$ and dashed for $\mathrm{Cu}+\mathrm{Cu}$ ). Bottom panel: Same as above, for both photons and charged particles from PHOBOS [10]. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 4. (Color online.) Top panel: The number of photons divided by $\left\langle N_{\text{part}}\right\rangle / 2$ as a function of average number of participating nucleons for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ at $\sqrt{\mathrm{s} _{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$ for $-3.7<\eta<-2.3 .$ Errors shown are systematic only and include those for $\left\langle N_{\text {part }}\right\rangle .$ Results from HIJING are shown as lines (solid for $\mathrm{Au}+\mathrm{Au}$ and dashed for $\mathrm{Cu}+\mathrm{Cu}$ ). Bottom panel: Same as above, for both photons and charged particles from PHOBOS [10]. NOTE: For points with invisible error bars, the point size was considered as an absolute upper limit for the uncertainty.

Fig. 5. (Color online.) Photon pseudorapidity distributions normalized by the average number of participating nucleon pairs for different collision centralities are plotted as a function of pseudorapidity shifted by the beam rapidity (-5.36 for $200 \mathrm{GeV}$ and -4.19 for $62.4 \mathrm{GeV}$ ) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ collisions at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$. Errors are systematic only, statistical errors are negligible in comparison. For clarity of presentation, results for only four centralities are shown. The $\mathrm{Cu}+$ Cu data are shifted by 0.1 unit in $\eta-y_{\text {beam }} .$ The solid line is a second order polynomial fit to the data (see text for details).

Fig. 5. (Color online.) Photon pseudorapidity distributions normalized by the average number of participating nucleon pairs for different collision centralities are plotted as a function of pseudorapidity shifted by the beam rapidity (-5.36 for $200 \mathrm{GeV}$ and -4.19 for $62.4 \mathrm{GeV}$ ) for $\mathrm{Au}+\mathrm{Au}$ and $\mathrm{Cu}+\mathrm{Cu}$ collisions at $\sqrt{s_{\mathrm{NN}}}=62.4$ and $200 \mathrm{GeV}$. Errors are systematic only, statistical errors are negligible in comparison. For clarity of presentation, results for only four centralities are shown. The $\mathrm{Cu}+$ Cu data are shifted by 0.1 unit in $\eta-y_{\text {beam }} .$ The solid line is a second order polynomial fit to the data (see text for details).

Slope parameter T, dN/y, $N_\phi/N_h^-$. Systematic uncertainties on T are 12%, on dN/dy are 12%, and on $N_{\phi}/N_{h^-}$ are 22%.

$m_T$ spectra of $\Omega^-+\bar{\Omega}^+$ for 0-10% centrality. Errors listed here are the quadrature sum of statistical and point-to-point systematic uncertainties. There is an additional overall $m_T$-independent systematic uncertainty of 10%.

Fit parameters for $m_T$ spectra of $\Xi^-$.

Fit parameters for $m_T$ spectra of $\bar{\Xi}^+$.

Fit parameters for $m_T$ spectra of $\Omega^-+\bar{\Omega}^+$.

Particle ratio in 0-10% centrality.

Particle ratio in 0-10% centrality from the statiscal model.

Particle ratio from nonequilibrium model.

Particle ratio from HIJING/$B\bar{B}$.

Kinetic freeze-out temperature and transverse flow velocity obtained from the fits to $m_T$ spectra for 0-10% centrality.

Kinetic freeze-out temperature and transverse flow velocity of $\Xi^-+\bar{\Xi}^+$ (1$\sigma$ contour).

Kinetic freeze-out temperature and transverse flow velocity of $\Xi^-+\bar{\Xi}^+$ (2$\sigma$ contour).

Kinetic freeze-out temperature and transverse flow velocity of $\Xi^-+\bar{\Xi}^+$ (3$\sigma$ contour).

Kinetic freeze-out temperature and transverse flow velocity of $\pi$, $K$, $p$, $\Lambda$ (1$\sigma$ contour).

Kinetic freeze-out temperature and transverse flow velocity of $\pi$, $K$, $p$, $\Lambda$ (2$\sigma$ contour).

Kinetic freeze-out temperature and transverse flow velocity of $\pi$, $K$, $p$, $\Lambda$ (3$\sigma$ contour).

Mean transverse momentum $\langle p_T \rangle$. Results from best fits to spectra, Bose-Einstein for $\pi$, exponential for $K$, hydrodynamically-inspired function for $p$, and Boltzmann for $\Lambda$, $\Xi$, and $\Omega$.

Observed and expected limits on $\tan\beta$ as a function of $m_{H^+}$ in the $M_h^{125}(\tilde{\chi})$ scenario. Limits are shown for $\tan\beta$ values in the range of 0.5-60 due to the availability of the model prediction. The bands surrounding the expected limits show the 68% and 95% confidence intervals. Uncertainties in the predicted $H^+$ cross-sections or branching ratios are not considered.

Observed and expected limits on $\tan\beta$ as a function of $m_{H^+}$ in the $M_h^{125}(\tilde{\tau})$ scenario. Limits are shown for $\tan\beta$ values in the range of 0.5-60 due to the availability of the model prediction. The bands surrounding the expected limits show the 68% and 95% confidence intervals. Uncertainties in the predicted $H^+$ cross-sections or branching ratios are not considered.

Observed and expected limits on $\tan\beta$ as a function of $m_{H^+}$ in the $M_h^{125}$(alignment) scenario. Limits are shown for $\tan\beta$ values in the range of 0.5-60 due to the availability of the model prediction. The bands surrounding the expected limits show the 68% and 95% confidence intervals. Uncertainties in the predicted $H^+$ cross-sections or branching ratios are not considered.

Observed and expected limits on $\tan\beta$ as a function of $m_{H^+}$ in the $M_{h_1}^{125}$(CPV) scenario. Limits are shown for $\tan\beta$ values in the range of 0.5-60 due to the availability of the model prediction. The bands surrounding the expected limits show the 68% and 95% confidence intervals. Uncertainties in the predicted $H^+$ cross-sections or branching ratios are not considered.

Event yields of the SM background processes and the 800 GeV $H^{+}$ sample in the four analysis regions before the fit to the data. Uncertainties include both statistical and systematic uncertainties. The yields of the $H^{+}$ signal sample correspond to a cross-section times branching fraction of 10 pb.

Event acceptance for the different $H^+$ mass signal samples.

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 1. (Color online) Perspective views of $2 \mathrm{D}$ charge-independent angular correlations $\Delta \rho / \sqrt{\rho_{\mathrm{ref}}}$ on $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ for Au-Au collisions at $\sqrt{s_{N N}}=200$ and $62 \mathrm{GeV}$ (top and bottom rows, respectively). Centrality increases left to right from most peripheral to most central. Corrected total cross-section fractions are (left to right) $84 \%-93 \%, 55 \%-64 \%, 18 \%-28 \%,$ and $0 \%-5 \%$ for the $200-\mathrm{GeV}$ data and $84 \%-95 \%, 56 \%-65 \%$ $18 \%-28 \%,$ and $0 \%-5 \%$ for the $62 \mathrm{GeV}$ data (see Tables III and IV).

FIG. 2. (Color online) Fit decomposition of the $46 \%-56 \%$ centrality data for 62 -GeV Au-Au collisions. The top panels show from left to right the corrected data, model fit, fit residuals (data - model), and same-side 2D Gaussian. The bottom panels similarly show the away-side azimuth dipole, the nonjet azimuth quadrupole, the 1D $\eta_{\Delta}$ Gaussian, and the 2D exponential. This centrality is just below the sharp transition at $v_{\text {trans }}=3$. Fit residuals (c) are scaled up eightfold relative to the data.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 3. Fit parameters for $\left(\eta_{\Delta}, \phi_{\Delta}\right)$ correlation data from Au-Au collisions at $\sqrt{s_{N N}}=62$ (open symbols) and 200 GeV (solid symbols) versus centrality measure $\nu$ computed at fixed energy $(200 \mathrm{GeV})$. The SS $2 \mathrm{D}$ Gaussian amplitudes, $\eta_{\Delta}$ widths, and $\phi_{\Delta}$ widths are shown in the left, center, and right panels, respectively of the top row. The bottom row shows from left to right the amplitudes for the dipole, quadrupole, and SS peak width aspect ratio $\sigma_{\eta_{\Delta}} / \sigma_{\phi_{\Delta}} .$ Fitting errors are indicated by error bars where larger than the symbols. Solid lines connect the points for clarity. The dotted and dashed curves indicate Glauber linear superposition estimates for 62 - and 200 -GeV peak amplitudes respectively, as discussed in the text. The quadrupole data are consistent with Ref. [60]. The hatched regions indicate the full range of systematic uncertainties listed in Appendix F. The vertical dark bands indicate estimated $v$ equivalents for $N-N$ collisions and $b=0$ Au-Au collisions.

FIG. 4. (Color online) (a) 2D data histogram from $0 \%-5 \%$ central 200 GeV Au-Au collisions $[(0,0)$ bin suppressed]. (b) Additional model component fitted to the $2 \mathrm{D}$ histogram and consisting of an AS azimuth dipole modulated by function $F\left(\eta_{\Delta}\right)$ described in the text. (c) Fit residuals including the new model component. (d) Data histogram in the first panel minus the additional model component and fitted offset. Remaining structure is described accurately by an AS dipole and SS 2D Gaussian.

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 9. (a) Amplitude of SS 2D peak (jet-correlated pairs per final-state hadron) for data (solid points), GLS extrapolation from $p$ - $p$ data (dashed curve) and from the HIJING Monte Carlo (open points, dotted curve). (b) Single-particle production extrapolated from $p-p$ data (dashed curve, GLS), and from more-central Au-Au data (solid line) and HIJING (dash-dotted line, open points). (c) Single-particle hard-component production per $N-N$ binary collision from $p-p$ data, from more-central Au-Au data and from HIJING (open points). (d) Jet-correlated pair production (SS 2D peak) per $N-N$ binary collision extrapolated from $p-p$ data (GLS), and from Au-Au data (solid points) and HIJING (open points).

FIG. 11. (Color online) (Left) Uncorrected angular correlations from 62-GeV $37 \%-46 \%$ central Au-Au collisions showing pileup distortions, especially evident as the W-shaped nonuniformity of the AS ridge on $\eta_{\Delta}$. (Right) The same data with pileup correction applied.