Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs analyses combination, with all other coupling modifiers fixed to unity.

Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the double-Higgs analyses, with all other coupling modifiers fixed to unity.

Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs analyses, with all other coupling modifiers fixed to unity.

Observed values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs combination for the generic model (free floating $\kappa_t$, $\kappa_b$, $\kappa_V$ and $\kappa_\tau$). The observed best-fit value of $\kappa_\lambda$ for the generic model is shifted slightly relative to the other models because of its correlation with the best-fit values of the $\kappa_b$, $\kappa_t$ and $\kappa_\tau$ parameters, which are slightly below, but compatible with unity.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs analyses combination derived from the combined single-Higgs and double-Higgs analyses, with all other coupling modifiers fixed to unity.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the double-Higgs analyses.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs analyses, with all other coupling modifiers fixed to unity.

Expected values of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the single-Higgs and double-Higgs analyses for the generic model (free floating $\kappa_t$, $\kappa_b$, $\kappa_V$ and $\kappa_\tau$).

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The solid lines show the 68% CL contours. The observed constraint for the single- and double-Higgs combination for $\kappa_t$ values below unity is slightly less stringent than that for the single-Higgs fit alone due to the slightly higher best-fit value for this coupling modifier.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The dashed lines show the 95% CL contours. The observed constraint for the single- and double-Higgs combination for $\kappa_t$ values below unity is slightly less stringent than that for the single-Higgs fit alone due to the slightly higher best-fit value for this coupling modifier.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analysis. The solid lines show the 68% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analysis. The dashed lines show the 95% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analysis. The solid lines show the 68% CL contours.

Observed constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analysis. The dashed lines show the 95% CL contours.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The solid lines show the 68% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs and double-Higgs combination. The dashed lines show the 95% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analyses. The solid lines show the 68% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from double-Higgs analyses. The dashed lines show the 95% CL contours. The double-Higgs contours are shown for values of $\kappa_t$ smaller than 1.2.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analyses. The solid lines show the 68% CL contours.

Expected constraints in the $\kappa_\lambda$–$\kappa_t$ plane from single-Higgs analyses. The dashed lines show the 95% CL contours.

Observed and expected 95% CL upper limits on the sum of the ggF HH and VBF HH production cross-section from the bbbb, bb$\tau\tau$ and bb$\gamma\gamma$ decay channels, and their statistical combination. The value $m_H$=125.09 GeV is assumed when deriving the predicted SM cross section. The expected limit and the corresponding error bands are derived assuming the absence of the HH process with all nuisance parameters profiled to the observed data. The SM prediction together with its theoretical uncertainty is also shown (red vertical band).

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for the double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_\lambda$ parameter for double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Observed value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bbbb analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\tau\tau$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the HH to bb$\gamma\gamma$ analysis. All other coupling modifiers are fixed to their SM value.

Expected value of the test statistic (-2ln$\Lambda$), as a function of the $\kappa_{2V}$ parameter for the double-Higgs combination. All other coupling modifiers are fixed to their SM value.

Observed constraints in the $\kappa_{2V}$–$\kappa_{V}$ plane from double-Higgs combination. The solid lines show the 68% (95%) CL contours.

Observed constraints in the $\kappa_{2V}$–$\kappa_{V}$ plane from double-Higgs combination. The dashed lines show the 68% (95%) CL contours.

Expected constraints in the $\kappa_{2V}$-$\kappa_{V}$ plane from double-Higgs combination. The solid lines show the 68% CL contours.

Expected constraints in the $\kappa_{2V}$-$\kappa_{V}$ plane from double-Higgs combination. The dashed lines show the 95% CL contours.

'Identified transverse momentum spectra of $\pi^{-}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Identified transverse momentum spectra of $K^{-}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Identified transverse momentum spectra of $\bar{p}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for $\pi^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for $K^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'Average transverse momentum as a function of $\langle$N$_{part}$$\rangle$ for p at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $\pi^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $K^{+}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for p at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'dN/dy scaled by 0.5 × $\langle$N$_{part}$$\rangle$ as a function of $\langle$N$_{part}$$\rangle$ for $\bar{p}$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\pi^{−}$/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{−}$/$K^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\bar{p}$/p ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{+}$/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$K^{-}$/$\pi^{-}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'p/$\pi^{+}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

'$\bar{p}$/$\pi^{-}$ ratio as a function of $\langle$N$_{part}$$\rangle$ at midrapidity (|y| < 0.1) in U+U collisions at $\sqrt{s_{\rm NN}}$ = 193 GeV.'

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Example of combinatorial background subtracted invariant mass distributions and the extracted yields as a function of $\cos \theta^*$ for $\phi$ and $K^{*0}$ mesons. \textbf{a)} example of $\phi \rightarrow K^+ + K^-$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{b)} example of $K^{*0} (\overline{K^{*0}}) \rightarrow K^{-} \pi^{+} (K^{+} \pi^{-})$ invariant mass distributions, with combinatorial background subtracted, integrated over $\cos \theta^*$; \textbf{c)} extracted yields of $\phi$ as a function of $\cos \theta^*$; \textbf{d)} extracted yields of $K^{*0}$ as a function of $\cos \theta^*$.

Efficiency corrected $\phi$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.1 in the method section.

Efficiency and acceptance corrected $K^{*0}$-meson yields as a function of cos$\theta$* and corresponding fits with Eq.4 in the method section.

$\phi$-meson $\rho_{00}$ obtained from 1st- and 2nd-order event planes. The red stars (gray squares) show the $\phi$-meson $\rho_{00}$ as a function of beam energy, obtained with the 2nd-order (1st-order) EP.

$\phi$-meson $\rho_{00}$ with respect to different quantization axes. $\phi$-meson $\rho_{00}$ as a function of beam energy, for the out-of-plane direction (stars) and the in-plane direction (diamonds). Curves are fits based on theoretical calculations with a $\phi$-meson field. The corresponding $G_s^{(y)}$ values obtained from the fits are shown in the legend.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $\phi$ for different collision energies. The gray squares and red stars are results obtained with the 1st- and 2nd-order EP, respectively.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of transverse momentum for $K^{*0}$ for different collision energies.

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

$\rho_{00}$ as a function of centrality for $\phi$ (upper panels) and $K^{*0}$ (lower panels). The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for the $K^{*0}$ meson, obtained with the 2nd-order EP.}

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

Global spin alignment measurement of $\phi$ and $K^{*0}$ vector mesons in Au+Au collisions at 0-20\% centrality. The solid squares and stars are results for the $\phi$ meson, obtained with the 1st- and 2nd-order EP, respectively. The solid circles are results for $K^{*0}$-meson, obtained with the 2nd-order EP.

The centrality dependencies of the $\Delta\gamma\{\psi_\mathrm{ZDC}\}$ for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the a for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A/a using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the A/a using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $f_\mathrm{CME}$ using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $f_\mathrm{CME}$ using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $\Delta\gamma_\mathrm{CME}$ using full-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The centrality dependencies of the $\Delta\gamma_\mathrm{CME}$ using sub-event method for Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $f_\mathrm{CME}$ from different methods for 20-50% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $f_\mathrm{CME}$ from different methods for 50-80% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $\Delta\gamma_\mathrm{CME}$ from different methods for 20-50% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $\Delta\gamma_\mathrm{CME}$ from different methods for 50-80% centrality Au+Au collision at $\sqrt{s_{\rm NN}}$=200 GeV.

The $\gamma_{SS}$ correlators in du+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The correlation difference variable $\Delta \gamma = \gamma_{OS}-\gamma_{SS}$ in p+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The correlation difference variable $\Delta \gamma = \gamma_{OS}-\gamma_{SS}$ in d+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The measured two-particle cumulant $v_2\{2\}$ in p+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The measured two-particle cumulant $v_2\{2\}$ in d+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The scaled observable $\Delta{\gamma}_{scaled} = \Delta{\gamma} \times dN_{ch}/d\eta/v_{2}$ in p+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

The scaled observable $\Delta{\gamma}_{scaled} = \Delta{\gamma} \times dN_{ch}/d\eta/v_{2}$ in d+Au collisions at $\sqrt{s_{NN}}=200$ GeV at RHIC as a function of multiplicity.

Raw $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 27 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 39 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Raw $\Delta N_k$ distributions in Au+Au collisions at 200 GeV for 0–5%, 30–40%, and 70–80% collision centralities at midrapidity. The distributions are not corrected for the finite centrality bin width effect nor the reconstruction efficiency.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of cumulants (C1, C2, C3, and C4) of $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $M/\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $S\sigma$ for $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 7.7 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 11.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 14.5 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 19.6 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 27 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 39 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 62.4 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collision centrality dependence of the $\kappa\sigma^2$ for $\Delta N_k$ distributions in Au+Au collisions at 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collisions energy dependence of $M/\sigma^2$ for $\Delta N_k$ multiplicity distributions from 0–5% most central and 70–80% peripheral collisions in Au+Au collisions at \sqrt{s_{NN}} = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collisions energy dependence of $S\sigma$ for $\Delta N_k$ multiplicity distributions from 0–5% most central and 70–80% peripheral collisions in Au+Au collisions at \sqrt{s_{NN}} = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Collisions energy dependence of $\kappa\sigma^2$ for $\Delta N_k$ multiplicity distributions from 0–5% most central and 70–80% peripheral collisions in Au+Au collisions at \sqrt{s_{NN}} = 7.7, 11.5, 14.5, 19.6, 27, 39, 62.4 and 200 GeV. The error bars are statistical uncertainties and the caps represent systematic uncertainties.

Dielectron invariant mass spectra in 2.5-3.0 GeV/c.

Dielectron invariant mass spectra in 5.0-6.0 GeV/c.

Dielectron invariant mass spectra in 6.0-7.0 GeV/c.

Dielectron invariant mass spectra in 7.0-8.0 GeV/c.

Dielectron invariant mass spectra in 8.0-9.0 GeV/c.

Dielectron invariant mass spectra in 9.0-10.0 GeV/c.

Dielectron invariant mass spectra with combined uncertainties, 2.0-2.5 GeV/C.

Data versus fit function, 2.0-2.5 GeV/C.

Data versus cocktail, 2.0-2.5 GeV/C.

Fraction of direct photon versus inclusive photon.

Direct virtual photon invariant yield in 60-80% centrality.

Direct virtual photon invariant yield in 40-60% centrality.

Direct virtual photon invariant yield in 0-80% centrality.

Direct virtual photon invariant yield in 20-40% centrality.

Direct virtual photon invariant yield in 0-20% centrality.

Direct virtual photon excess yield in 1.0-3.0GeV.

Direct virtual photon excess yield in 1.5-3.0GeV.

Direct virtual photon total yield in 1.0-3.0GeV.

Direct virtual photon total yield in 1.5-3.0GeV.

The Azimuthal correlation functions of charged hadrons per trigger

The Azimuthal correlation functions of charged hadrons per trigger

The Azimuthal correlation functions of charged hadrons per trigger

The Azimuthal correlation functions of charged hadrons per trigger

The Azimuthal correlation functions of charged hadrons per trigger

pi0-hadron correlations, Away-side, AuAu

pi0-hadron correlations, Away-side, pp

pi0-hadron correlations, Near-side, AuAu

pi0-hadron correlations, Near-side, pp

Direct Photon-hadron correlations, Away-side, AuAu

Direct Photon-hadron correlations, Away-side, pp

Pi0-hadron correlations, Away-side, pp

Direct Photon-hadron correlations, Away-side, I_AA

Pi0-hadron correlations, Away-side, I_AA

Direct Photon-hadron correlations

Pi0-hadron correlations

Direct Photon-hadron correlations, Away-side, I_AA (pT^trig)

Direct Photon-hadron correlations, Away-side, I_AA (pT^assoc)

Mid-rapidity v2(pT) for d,anti-d,t,He from minimum bias (0-80%) Au+Au collisions 27 GeV.

Mid-rapidity v2(pT) for d,anti-d,t,He from minimum bias (0-80%) Au+Au collisions 19.6 GeV.

Mid-rapidity v2(pT) for d,t,He from minimum bias (0-80%) Au+Au collisions 11.5 GeV.

Mid-rapidity v2(pT) for d,t,He from minimum bias (0-80%) Au+Au collisions 7.7 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 200 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 62.4 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 39 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 27 GeV.

Mid-rapidity v2(pT) difference for d-dbar in minimum bias (0-80%) Au+Au collisions 19.6 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-10%, 10-40% and 40-80% in Au+Au collisions 200 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-30% and 30-80% in Au+Au collisions 62.4 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-30% and 30-80% in Au+Au collisions 39 GeV.

Mid-rapidity v2(pT) for d and anti-d for 0-30% and 30-80% in Au+Au collisions 27 GeV.

Mid-rapidity v2(pT) for d 0-30% and 30-80% in Au+Au collisions 19.6 GeV.

Mid-rapidity v2(pT) for d 0-30% and 30-80% in Au+Au collisions 11.5 GeV.

Mid-rapidity v2(pT) for d 0-30% and 30-80% in Au+Au collisions 7.7 GeV.