$p^{pp}_T$ dependence of $S_{loss}$ for $\pi^0$ in 200 GeV Au+Au collisions from 2004 data from the PHENIX experiment at RHIC for $p_T$ <10 GeV/$c$.

$p^{pp}_T$ dependence of $S_{loss}$ for $\pi^0$ in 200 GeV Cu+Cu collisions using the spectra measured by PHENIX at RHIC in 2005.

$p^{pp}_T$ dependence of $S_{loss}$ for $\pi^0$ in 62 GeV Au+Au collisions using the spectra measured by PHENIX in 2010.

$p^{pp}_T$ dependence of $S_{loss}$ for $\pi^0$ in 62.4 GeV Cu+Cu collisions using the spectra measured by PHENIX in 2005.

$p^{pp}_T$ dependence of $S_{loss}$ for $\pi^0$ in 2.76 TeV Pb+Pb collisions using the result from the ALICE experiment.

Parameters from fitting the indicated power-law functions for $\delta p_T/p_T$ to the data as a function of $p^{pp}_T$ for Au+Au collisions from 2004 data at $\sqrt{s_{NN}}$ = 200 GeV.

Parameters from fitting the indicated power-law functions for $\delta p_T/p_T$ to the data as a function of $p^{pp}_T$ for Au+Au collisions from 2007 data at $\sqrt{s_{NN}}$ = 200 GeV.

Parameters from fitting the indicated power-law functions for $\delta p_T/p_T$ to the data as a function of $p^{pp}_T$ for Cu+Cu collisions from 2005 data at $\sqrt{s_{NN}}$ = 200 GeV.

Parameters from fitting the indicated power-law functions for $\delta p_T/p_T$ to the data as a function of $p^{pp}_T$ for Pb+Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Invariant mass spectrum of $e^+e^-$ pairs inclusive in $p_T$ compared to expectations from the model of hadron decays for $p$+$p$ and for different Au+Au centrality classes. The charmed meson decay contribution based on PYTHIA [55] is included in the sum of sources (solid black line). The dotted line shows the contribution from charm calculated assuming an isotropic angular distribution. Statistical (bars) and systematic (boxes) uncertainties are shown separately. The systematic uncertainty on the expected hadronic sources is not shown: it ranges from ~10% in the $\pi^o$ region to ~30% in the region of the vector mesons. The uncertainty on the charm cross section, which dominates the IMR, is ~30% in both $p$+$p$ and in Au+Au collisions.

(Color online) Dielectron yield per binary collision in the mass range 1.2 to 2.8 GeV/$c^2$ as a function of $N_{part}$. Statistical and systematic uncertainties are shown separately. Also shown are two bands corresponding to different estimates of the contribution from charmed meson decays. The width of the bands reflects the uncertainty of the charm cross section only.

(Color online) Dielectron yield per binary collision in the mass range 1.2 to 2.8 GeV/$c^2$ as a function of $N_{part}$. Statistical and systematic uncertainties are shown separately. Also shown are two bands corresponding to different estimates of the contribution from charmed meson decays. The width of the bands reflects the uncertainty of the charm cross section only.

(Color online) Dielectron yield per participating nucleon pair ($N_{part}/2$) as function of $N_{part}$ for two different mass ranges (a: $0.15<m_{ee}<0.75$ GeV/$c^2$, b: $0<m_{ee}<0.1$ GeV/$c^2$) compared to the expected yield from the hadron decay model. The two lines give the systematic uncertainty of the yield from cocktail and charmed hadron decays. For the data statistical and systematic uncertainties are shown separately.

(Color online) Dielectron yield per participating nucleon pair ($N_{part}/2$) as function of $N_{part}$ for two different mass ranges (a: $0.15<m_{ee}<0.75$ GeV/$c^2$, b: $0<m_{ee}<0.1$ GeV/$c^2$) compared to the expected yield from the hadron decay model. The two lines give the systematic uncertainty of the yield from cocktail and charmed hadron decays. For the data statistical and systematic uncertainties are shown separately.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) $e^+e^-$ pair invariant mass distributions in $p$+$p$ (left) and minimum bias Au+Au collisions (right). The $p_T$ ranges are shown in the legend. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) Electron pair mass distribution for Au+Au (Min.Bias) for $1.0<p_T<1.5$ GeV/$c$. The two component fit is explained in the text. The fit range is $0.12<m_{ee}<0.3$ GeV/$c^2$. The dashed (black) curve at greater $m_{ee}$ shows $f(m_{ee})$ outside of the fit range.

(Color online) Electron pair mass distribution for Au+Au (Min.Bias) for $1.0<p_T<1.5$ GeV/$c$. The two component fit is explained in the text. The fit range is $0.12<m_{ee}<0.3$ GeV/$c^2$. The dashed (black) curve at greater $m_{ee}$ shows $f(m_{ee})$ outside of the fit range.

(Color online) Electron pair mass distribution for Au+Au (Min.Bias) for $1.0<p_T<1.5$ GeV/$c$. The two component fit is explained in the text. The fit range is $0.12<m_{ee}<0.3$ GeV/$c^2$. The dashed (black) curve at greater $m_{ee}$ shows $f(m_{ee})$ outside of the fit range.

(Color online) Electron pair mass distribution for Au+Au (Min.Bias) for $1.0<p_T<1.5$ GeV/$c$. The two component fit is explained in the text. The fit range is $0.12<m_{ee}<0.3$ GeV/$c^2$. The dashed (black) curve at greater $m_{ee}$ shows $f(m_{ee})$ outside of the fit range.

(Color online) Ratio R=(data-cocktail)/$f_{dir}(m_{ee})$ of electron pairs for different $p_T$ bins in Min.Bias Au+Au collisions. The $p_T$ range of each panel is indicated in the figure.

(Color online) The fraction of the direct photon component as a function of $p_T$. The error bars and the error band represent statistical and systematic uncertainties, respectively. The curves are from a NLO pQCD calculation (see text).

(Color online) The fraction of the direct photon component as a function of $p_T$. The error bars and the error band represent statistical and systematic uncertainties, respectively. The curves are from a NLO pQCD calculation (see text).

(Color online) Invariant cross section ($p$+$p$) and invariant yield (Au+Au) of direct photons as a function of $p_T$. The filled points are from this analysis and open points are from [81,82]. The three curves on the $p$+$p$ data represent NLO pQCD calculations, and the dashed curves show a modified power-law fit to the $p$+$p$ data, scaled by $T_{AA}$. The dashed (black) curves are exponential plus the $T_{AA}$ scaled $p$+$p$ fit.

(Color online) Invariant cross section ($p$+$p$) and invariant yield (Au+Au) of direct photons as a function of $p_T$. The filled points are from this analysis and open points are from [81,82]. The three curves on the $p$+$p$ data represent NLO pQCD calculations, and the dashed curves show a modified power-law fit to the $p$+$p$ data, scaled by $T_{AA}$. The dashed (black) curves are exponential plus the $T_{AA}$ scaled $p$+$p$ fit.

(Color online) Invariant cross section ($p$+$p$) and invariant yield (Au+Au) of direct photons as a function of $p_T$. The filled points are from this analysis and open points are from [81,82]. The three curves on the $p$+$p$ data represent NLO pQCD calculations, and the dashed curves show a modified power-law fit to the $p$+$p$ data, scaled by $T_{AA}$. The dashed (black) curves are exponential plus the $T_{AA}$ scaled $p$+$p$ fit.

(Color online) Invariant cross section ($p$+$p$) and invariant yield (Au+Au) of direct photons as a function of $p_T$. The filled points are from this analysis and open points are from [81,82]. The three curves on the $p$+$p$ data represent NLO pQCD calculations, and the dashed curves show a modified power-law fit to the $p$+$p$ data, scaled by $T_{AA}$. The dashed (black) curves are exponential plus the $T_{AA}$ scaled $p$+$p$ fit.

(Color online) The $e^+e^-$ pair invariant mass distributions in minimum bias Au+Au collisions for the low-$p_T$ range. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) The $e^+e^-$ pair invariant mass distributions in minimum bias Au+Au collisions for the low-$p_T$ range. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) The $e^+e^-$ pair invariant mass distributions in minimum bias Au+Au collisions for the low-$p_T$ range. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) The $e^+e^-$ pair invariant mass distributions in minimum bias Au+Au collisions for the low-$p_T$ range. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) The $e^+e^-$ pair invariant mass distributions in minimum bias Au+Au collisions for the low-$p_T$ range. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) The $e^+e^-$ pair invariant mass distributions in minimum bias Au+Au collisions for the low-$p_T$ range. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

(Color online) The $e^+e^-$ pair invariant mass distributions in minimum bias Au+Au collisions for the low-$p_T$ range. The solid curves represent the cocktail of hadronic sources (see Sec. IV) and include contribution from charm calculated by PYTHIA using the cross section from Ref. [48] scaled by $N_{coll}$.

Ratio of R = (data − cocktail)/$f_{dir}(m_{ee})$ for 0.8 $< p_T <$ 1.0 GeV/c in minimum bias Au$+$Au collisions. The yellow band in each panel shows $\pm1\sigma$ band of a constant fit value to the data points.

Ratio of R = (data − cocktail)/$f_{dir}(m_{ee})$ for 0.6 $< p_T <$ 0.8 GeV/c in minimum bias Au$+$Au collisions. The yellow band in each panel shows $\pm1\sigma$ band of a constant fit value to the data points.

Ratio of R = (data − cocktail)/$f_{dir}(m_{ee})$ for 0.4 $ < p_T <$ 0.6 GeV/c in minimum bias Au$+$Au collisions. The yellow band in each panel shows $\pm1\sigma$ band of a constant fit value to the data points.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). $p$$+$$p$ collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). $p$$+$$p$ collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). $p$$+$$p$ collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). $p$$+$$p$ collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). $p$$+$$p$ collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). $p$$+$$p$ collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

(Color online) $p_T$ spectra of $e^+e^-$ pairs in $p$+$p$ (left) and Au+Au (right) collisions for different mass bins, which are fully acceptance corrected. Au+Au spectra are divided by $N_{part}/2$. The solid curves show the expectations from the sum of the hadronic decay cocktail and the contribution from charmed mesons. The dashed curves show the sum of the cocktail and charmed meson contributions plus the contribution from direct photons calculated by converting the photon yield from Fig. 34 to the $e^+e^-$ pair yield using Eqs. (31) and (B14). Au$+$Au collision data shown.

The $m_{T} - m_{0}$ spectrum for the mass range 0.3 < $m_{ee}$ < 0.75 GeV/$c^{2}$ after subtracting contributions from cocktail and charm. The spectrum is fully acceptance corrected. The systematic error band includes the difference in charm yields in this mass range. The spectrum is fit to the sum of two exponential functions which are also shown separately as the dashed and dotted lines. The solid line is the sum.

Local inverse slope of the $m_{T}$ spectra of electron pairs, after subtracting the cocktail and the charm contribution, for different mass bins. The local slope is calculated in different mass ranges, 0 < $m_{T} - m_{0}$ < 0.6 GeV/$c^{2}$ and 0.6 < $m_{T} - m_{0}$ < 2.5 GeV/$c^{2}$. The solid and dashed lines show the local slope of the cocktail for the corresponding mass ranges.

Local inverse slope of the $m_{T}$ spectra of electron pairs, after subtracting the cocktail and the charm contribution, for different mass bins. The local slope is calculated in different mass ranges, 0 < $m_{T} - m_{0}$ < 0.6 GeV/$c^{2}$ and 0.6 < $m_{T} - m_{0}$ < 2.5 GeV/$c^{2}$. The solid and dashed lines show the local slope of the cocktail for the corresponding mass ranges.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au compared to predictions from Ralf Rapp. Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions in the IMR. (top left) The data are compared to the sum of cocktail+charm. The data are also compared to the sum of cocktail+charm and partonic contributions from different models. The calculations are from (center) Rapp and van Hees [15, 18, 83] and (right) Dusling and Zahed [19, 84, 85]. The partonic yields (PY) have been added to the two scenarios for charmed mesons decays, i.e. (i) $PYTHIA$ and (ii) random $c\bar{c}$ correlation.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au compared to predictions from Kevin Dusling. Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions in the IMR. (top left) The data are compared to the sum of cocktail+charm. The data are also compared to the sum of cocktail+charm and partonic contributions from different models. The calculations are from (center) Rapp and van Hees [15, 18, 83] and (right) Dusling and Zahed [19, 84, 85]. The partonic yields (PY) have been added to the two scenarios for charmed mesons decays, i.e. (i) $PYTHIA$ and (ii) random $c\bar{c}$ correlation.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au compared to predictions from Elena Bratkovskaya. Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions in the IMR. (top left) The data are compared to the sum of cocktail+charm. The data are also compared to the sum of cocktail+charm and partonic contributions from different models. The calculations are from (center) Rapp and van Hees [15, 18, 83] and (right) Dusling and Zahed [19, 84, 85]. The partonic yields (PY) have been added to the two scenarios for charmed mesons decays, i.e. (i) $PYTHIA$ and (ii) random $c\bar{c}$ correlation.

invariant mass spectrum of e+e- pairs in MB Au+Au compared to predictions from Ralf Rapp.

invariant mass spectrum of e+e- pairs in MB Au+Au compared to predictions from Ralf Rapp.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling. Invariant mass spectra of $e^{+}e^{-}$ pairs in Au + Au collisions in the LMR. The data are compared to the sum of cocktail+charm (top left). The data are also compared to the sum of cocktail+charm and hadronic+partonic contributions from different models. The calculations are from The calculations are from (top right) Rapp and van Hees [15, 18, 83], (bottom right) Dusling and Zahed [19, 84, 85], and Cassing and Bratkovskaya [20, 27, 86, 87].

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling. Invariant mass spectra of $e^{+}e^{-}$ pairs in Au + Au collisions in the LMR. The data are compared to the sum of cocktail+charm (top left). The data are also compared to the sum of cocktail+charm and hadronic+partonic contributions from different models. The calculations are from The calculations are from (top right) Rapp and van Hees [15, 18, 83], (bottom right) Dusling and Zahed [19, 84, 85], and Cassing and Bratkovskaya [20, 27, 86, 87].

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya. Invariant mass spectra of $e^{+}e^{-}$ pairs in Au + Au collisions in the LMR. The data are compared to the sum of cocktail+charm (top left). The data are also compared to the sum of cocktail+charm and hadronic+partonic contributions from different models. The calculations are from The calculations are from (top right) Rapp and van Hees [15, 18, 83], (bottom right) Dusling and Zahed [19, 84, 85], and Cassing and Bratkovskaya [20, 27, 86, 87].

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya. Invariant mass spectra of $e^{+}e^{-}$ pairs in Au + Au collisions in the LMR. The data are compared to the sum of cocktail+charm (top left). The data are also compared to the sum of cocktail+charm and hadronic+partonic contributions from different models. The calculations are from The calculations are from (top right) Rapp and van Hees [15, 18, 83], (bottom right) Dusling and Zahed [19, 84, 85], and Cassing and Bratkovskaya [20, 27, 86, 87].

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Ralf Rapp (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Rapp and van Hees [15, 18, 83], separately showing the partonic and the hadronic yields and the different scenarios for the $\rho$ spectral function, namely “Hadron Many Body Theory” (HMBT) and “Dropping Mass” (DM). The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Ralf Rapp (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Rapp and van Hees [15, 18, 83], separately showing the partonic and the hadronic yields and the different scenarios for the $\rho$ spectral function, namely “Hadron Many Body Theory” (HMBT) and “Dropping Mass” (DM). The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Ralf Rapp (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Rapp and van Hees [15, 18, 83], separately showing the partonic and the hadronic yields and the different scenarios for the $\rho$ spectral function, namely “Hadron Many Body Theory” (HMBT) and “Dropping Mass” (DM). The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Ralf Rapp (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Rapp and van Hees [15, 18, 83], separately showing the partonic and the hadronic yields and the different scenarios for the $\rho$ spectral function, namely “Hadron Many Body Theory” (HMBT) and “Dropping Mass” (DM). The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{-}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling (0.5<$p_{T}$<1.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling (0.5<$p_{T}$<1.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling 1.0<$p_{T}$<1.5 GeV/$c$. Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling 1.0<$p_{T}$<1.5 GeV/$c$. Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling (1.5<$p_{T}$<2.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Kevin Dusling (1.5<$p_{T}$<2.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows compared to the expectations from the calculations of Dusling and Zahed [19, 84, 85], separately showing the partonic and the hadronic yields. The calculations have been added to the cocktail of hadronic decays (where the contribution of the freeze-out $\rho$ meson is subtracted) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (0<$p_{T}$<0.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (0.5<$p_{T}$<1.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (0.5<$p_{T}$<1.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (0.5<$p_{T}$<1.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (1.0<$p_{T}$<1.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (1.0<$p_{T}$<1.5 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (1.5<$p_{T}$<2.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Invariant mass spectrum of $e^{+}e^{-}$ pairs in MB Au+Au for different $p_{T}$ ranges compared to predictions from Elena Bratkovskaya (1.5<$p_{T}$<2.0 GeV/$c$). Invariant mass spectra of $e^{+}e^{−}$ pairs in Min. Bias Au + Au collisions for different $p_{T}$ windows collisions compared to the expectations from the calculations of Cassing and Bratkovskaya [20, 27, 86, 87], separately showing the partonic and the hadronic yields calculated with different implementations of the $\rho$ spectral function, namely according to collisional broadening, with or without a dropping mass scenario. The calculations which include the dropping mass scenario have been added to the cocktail of hadronic decays (which is calculated by the HSD model itself) and charmed meson decays products.

Subtracted $p_{T}$ spectrum in 300-750 compared to calculations from Ralf Rapp. $p_{T}$ spectra of $e^{+}e^{−}$ pairs for 0.3 < $m_{ee}$ < 0.75 GeV/$c^{2}$ in Min. Bias Au + Au collisions compared to the expectations from the calculations of respectively R. Rapp and van Hees [15, 18, 83], Dusling and Zahed [19, 84, 85], Cassing and Bratkovskaya [20, 27, 86, 87]. The spectra are fully acceptance corrected. The curves show separately partonic and hadronic yields. For the curves of Rapp and van Hees [15, 18, 83] the two scenarios: Hadron Many Body Theory (HMBT) and Dropping Mass (DM) are shown. The sum is calculated with HMBT. The calculations are compared to the data from which the contributions of the cocktail of hadronic decays and charmed meson decays have been subtracted.

Subtracted $p_{T}$ spectrum in 300-750 compared to calculations from Kevin Dusling. $p_{T}$ spectra of $e^{+}e^{−}$ pairs for 0.3 < $m_{ee}$ < 0.75 GeV/$c^{2}$ in Min. Bias Au + Au collisions compared to the expectations from the calculations of respectively R. Rapp and van Hees [15, 18, 83], Dusling and Zahed [19, 84, 85], Cassing and Bratkovskaya [20, 27, 86, 87]. The spectra are fully acceptance corrected. The curves show separately partonic and hadronic yields. For the curves of Rapp and van Hees [15, 18, 83] the two scenarios: Hadron Many Body Theory (HMBT) and Dropping Mass (DM) are shown. The sum is calculated with HMBT. The calculations are compared to the data from which the contributions of the cocktail of hadronic decays and charmed meson decays have been subtracted.

Subtracted $p_{T}$ spectrum in 300-750 compared to calculations from Elena Bratkovskaya. $p_{T}$ spectra of $e^{+}e^{−}$ pairs for 0.3 < $m_{ee}$ < 0.75 GeV/$c^{2}$ in Min. Bias Au + Au collisions compared to the expectations from the calculations of respectively R. Rapp and van Hees [15, 18, 83], Dusling and Zahed [19, 84, 85], Cassing and Bratkovskaya [20, 27, 86, 87]. The spectra are fully acceptance corrected. The curves show separately partonic and hadronic yields. For the curves of Rapp and van Hees [15, 18, 83] the two scenarios: Hadron Many Body Theory (HMBT) and Dropping Mass (DM) are shown. The sum is calculated with HMBT. The calculations are compared to the data from which the contributions of the cocktail of hadronic decays and charmed meson decays have been subtracted.

Subtracted $p_{T}$ spectrum in 300-750 compared to calculations from Elena Bratkovskaya. $p_{T}$ spectra of $e^{+}e^{−}$ pairs for 0.3 < $m_{ee}$ < 0.75 GeV/$c^{2}$ in Min. Bias Au + Au collisions compared to the expectations from the calculations of respectively R. Rapp and van Hees [15, 18, 83], Dusling and Zahed [19, 84, 85], Cassing and Bratkovskaya [20, 27, 86, 87]. The spectra are fully acceptance corrected. The curves show separately partonic and hadronic yields. For the curves of Rapp and van Hees [15, 18, 83] the two scenarios: Hadron Many Body Theory (HMBT) and Dropping Mass (DM) are shown. The sum is calculated with HMBT. The calculations are compared to the data from which the contributions of the cocktail of hadronic decays and charmed meson decays have been subtracted.

Forward-rapidity $J/\psi$ —> $\mu^+\mu^-$ $d$+Au Nuclear Dependence at $\sqrt{s}$ = 200 GeV. (sys. A, B systematics are relative, i.e. they multiply the $R_{dAu}$ value. The sysA uncertainty includes statistical uncertainties as well as point-to-point uncorrelated systematics, sys. B represents uncertainties that are correlated from point to point, and sys. C represents uncertainties in the overall normalization.)

Mid rapidity $d$+Au —> $e^+e^-$ $J/\psi$ $R_{dAu}$ at $\sqrt{s}$=200 GeV. (Sys. A, B systematics are absolute, i.e. they add/subtract directly from $R_{dAu}$. The sys. A uncertainty includes statistical uncertainties as well as point-to-point uncorrelated systematics, sys. B represents uncertainties that are correlated from point to point, and sys. C represents uncertainties in the overall normalization.)

$d$+Au vs centrality vs $y$. (All uncertainties are absolute. The sys. A uncertainty includes both the statistical uncertainty and the point-to-point uncorrelated systematic, sys. B represents uncertainties that are correlated from point to point, and sys. C represents uncertainties in the overall normalization.)

Forward-rapidity $J/\psi$ —> $\mu^+\mu^-$ $d$+Au Nuclear Dependence at $\sqrt{s}$ = 200 GeV. (sys. A, B systematics are relative, i.e. they multiply the $R_{dAu}$ value. The sysA uncertainty includes statistical uncertainties as well as point-to-point uncorrelated systematics, sys. B represents uncertainties that are correlated from point to point, and sys. C represents uncertainties in the overall normalization.)

Mid rapidity $d$+Au —> $e^+e^-$ $J/\psi$ $R_{dAu}$ at $\sqrt{s}$=200 GeV. (Sys. A, B systematics are absolute, i.e. they add/subtract directly from $R_{dAu}$. The sys. A uncertainty includes statistical uncertainties as well as point-to-point uncorrelated systematics, sys. B represents uncertainties that are correlated from point to point, and sys. C represents uncertainties in the overall normalization.)

Forward-rapidity $J/\psi$ —> $\mu^+\mu^-$ $d$+Au Nuclear Dependence at $\sqrt{s}$ = 200 GeV. (sys. A, B systematics are relative, i.e. they multiply the $R_{CP}$ value. The sys. A uncertainty includes statistical uncertainties as well as point-to-point uncorrelated systematics, sys. B represents uncertainties that are correlated from point to point, and sys. C represents uncertainties in the overall normalization.)

Mid rapidity $d$+Au —> $e^+e^-$ $J/\psi$ $R_{CP}$ at $\sqrt{s}$=200 GeV. (Sys. A, B systematics are absolute, i.e. they add/subtract directly from $R_{CP}$. The sys. A uncertainty includes statistical uncertainties as well as point-to-point uncorrelated systematics, sys. B represents uncertainties that are correlated from point to point, and sys. C represents uncertainties in the overall normalization.)

The ratio of $\psi(2S)$ to $J/\psi(1S)$ cross sections, as measured in the dimuon decay channel in pp collisions at 200 GeV over the rapidity interval $1.2<|y|<2.2$, as a function of transverse momentum $p_{T}$.

The double ratios $[\sigma_{\psi(2S)}/\sigma_{\psi(1S)}]_{pA}/[\sigma_{\psi(2S)}/\sigma_{\psi(1S)}]_{pp}$. The global systematic uncertainty is $\pm 14\%$.

The charged-particle multiplicity $dN_{ch}/d\eta$ determined from AMPT simulations and the nuclear overlap $S_T$ from Glauber simulations for the data shown in Fig. 5. Here we assume $dN/d\eta$ = $\frac{3}{2}dN_{ch}/d\eta$.

The charged-particle multiplicity $dN_{ch}/d\eta$ determined from AMPT simulations and the nuclear overlap $S_T$ from Glauber simulations for the data shown in Fig. 5. Here we assume $dN/d\eta$ = $\frac{3}{2}dN_{ch}/d\eta$.

The charged-particle multiplicity $dN_{ch}/d\eta$ determined from AMPT simulations and the nuclear overlap $S_T$ from Glauber simulations for the data shown in Fig. 5. Here we assume $dN/d\eta$ = $\frac{3}{2}dN_{ch}/d\eta$.

$\xi$ distributions for different jet $p_T$ bins.

$\xi$ distributions for different jet $p_T$ bins.

The $j_T/p_{T}^{\rm jet}$ distributions for different jet $p_T$ bins.

The $j_T/p_{T}^{\rm jet}$ distributions for different jet $p_T$ bins.

$r$ distributions for different jet $p_T$ bins.

'200 GeV, Centrality: 80-100%'

'54.4 GeV, Centrality: 40-60%'

'54.4 GeV, Centrality: 60-80%'

'54.4 GeV, Centrality: 80-100%'

'200 GeV, Centrality: 80-100%'

'$0.4 < M_{ee} < 0.76 GeV/c^{2}$, Centrality: 40-60%'

'$0.4 < M_{ee} < 0.76 GeV/c^{2}$, Centrality: 60-80%'

'$0.4 < M_{ee} < 0.76 GeV/c^{2}$, Centrality: 80-100%'

'$0.76 < M_{ee} < 1.2 GeV/c^{2}$, Centrality: 40-60%'

'$0.76 < M_{ee} < 1.2 GeV/c^{2}$, Centrality: 60-80%'

'$0.76 < M_{ee} < 1.2 GeV/c^{2}$, Centrality: 80-100%'

'$1.2 < M_{ee} < 2.6 GeV/c^{2}$, Centrality: 40-60%'

'$1.2 < M_{ee} < 2.6 GeV/c^{2}$, Centrality: 60-80%'

'$1.2 < M_{ee} < 2.6 GeV/c^{2}$, Centrality: 80-100%'

'54.4 GeV, Centrality: 40-60%'

'54.4 GeV, Centrality: 60-80%'

'54.4 GeV, Centrality: 80-100%'

'200 GeV, Centrality: 80-100%'

'Centrality: 40-60%'

'Centrality: 60-80%'

'Centrality: 80-100%'

'54.4 GeV, Centrality: 40-60%'

'54.4 GeV, Centrality: 60-80%'

'54.4 GeV, Centrality: 80-100%'

'200 GeV, Centrality: 80-100%'

'$-2<cos(4\Delta\phi)>$ as a function of $p_{T}$ @ 200 GeV, Centrality: 80-100%'

'$-2<cos(4\Delta\phi)>$ as a function of $p_{T}$ @ 200 GeV, UPC'

Figure 2a, full-event

Figure 2b, subevent

Figure 3

Figure 4

The transverse-mass dependence of the correlation-strength parameter $\lambda$ in 30-40% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the correlation-strength parameter $\lambda$ in 40-50% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the correlation-strength parameter $\lambda$ in 50-60% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-scale parameter $R$ in 0-10% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-scale parameter $R$ in 10-20% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-scale parameter $R$ in 20-30% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-scale parameter $R$ in 30-40% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-scale parameter $R$ in 40-50% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-scale parameter $R$ in 50-60% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-index of stability parameter $\alpha$ in 0-10% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-index of stability parameter $\alpha$ in 10-20% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-index of stability parameter $\alpha$ in 20-30% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-index of stability parameter $\alpha$ in 30-40% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-index of stability parameter $\alpha$ in 40-50% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the Lévy-index of stability parameter $\alpha$ in 50-60% centrality bin obtained from Lévy fits with Eq. (9).

The transverse-mass dependence of the normalized correlation-strength parameter $\lambda/\lambda_{\rm max}$ for 0-10% centrality intervals. For each centrality bin the data are fitted with the Gaussian function of Eq. (15). This parameterization can describe the data and is discussed in detail in Section VI B. The fit parameters with the statistic and systematic uncertainties are shown in Fig. 7.

The transverse-mass dependence of the normalized correlation-strength parameter $\lambda/\lambda_{\rm max}$ for 10-20% centrality intervals. For each centrality bin the data are fitted with the Gaussian function of Eq. (15). This parameterization can describe the data and is discussed in detail in Section VI B. The fit parameters with the statistic and systematic uncertainties are shown in Fig. 7.

The transverse-mass dependence of the normalized correlation-strength parameter $\lambda/\lambda_{\rm max}$ for 20-30% centrality intervals. For each centrality bin the data are fitted with the Gaussian function of Eq. (15). This parameterization can describe the data and is discussed in detail in Section VI B. The fit parameters with the statistic and systematic uncertainties are shown in Fig. 7.

The transverse-mass dependence of the normalized correlation-strength parameter $\lambda/\lambda_{\rm max}$ for 30-40% centrality intervals. For each centrality bin the data are fitted with the Gaussian function of Eq. (15). This parameterization can describe the data and is discussed in detail in Section VI B. The fit parameters with the statistic and systematic uncertainties are shown in Fig. 7.

The transverse-mass dependence of the normalized correlation-strength parameter $\lambda/\lambda_{\rm max}$ for 40-50% centrality interval. For each centrality bin the data are fitted with the Gaussian function of Eq. (15). This parameterization can describe the data and is discussed in detail in Section VI B. The fit parameters with the statistic and systematic uncertainties are shown in Fig. 7.

The transverse-mass dependence of the normalized correlation-strength parameter $\lambda/\lambda_{\rm max}$ for 50-60% centrality interval. For each centrality bin the data are fitted with the Gaussian function of Eq. (15). This parameterization can describe the data and is discussed in detail in Section VI B. The fit parameters with the statistic and systematic uncertainties are shown in Fig. 7.

The transverse-mass dependence of the inverse square of the Lévy-scale parameter $R$, shown in 0-10% centrality bin. The values and uncertainties of the A and B linear fit parameters with the statistic and systematic uncertainties are shown in Fig. 8.

The transverse-mass dependence of the inverse square of the Lévy-scale parameter $R$, shown in 10-20% centrality bin. The values and uncertainties of the A and B linear fit parameters with the statistic and systematic uncertainties are shown in Fig. 8.

The transverse-mass dependence of the inverse square of the Lévy-scale parameter $R$, shown in 20-30% centrality bin. The values and uncertainties of the A and B linear fit parameters with the statistic and systematic uncertainties are shown in Fig. 8.

The transverse-mass dependence of the inverse square of the Lévy-scale parameter $R$, shown in 30-40% centrality bin. The values and uncertainties of the A and B linear fit parameters with the statistic and systematic uncertainties are shown in Fig. 8.

The transverse-mass dependence of the inverse square of the Lévy-scale parameter $R$, shown in 40-50% centrality bin. The values and uncertainties of the A and B linear fit parameters with the statistic and systematic uncertainties are shown in Fig. 8.

The transverse-mass dependence of the inverse square of the Lévy-scale parameter $R$, shown in 50-60% centrality bin. The values and uncertainties of the A and B linear fit parameters with the statistic and systematic uncertainties are shown in Fig. 8.

The transverse-mass dependence of the $\widehat{R}$ parameter, shown in 0-10% centrality bin. The values and uncertainties of the linear fit parameters $\widehat{A}$ and $\widehat{B}$ with the statistic and systematic uncertainties are shown in Fig. 9

The transverse-mass dependence of the $\widehat{R}$ parameter, shown in 10-20% centrality bin. The values and uncertainties of the linear fit parameters $\widehat{A}$ and $\widehat{B}$ with the statistic and systematic uncertainties are shown in Fig. 9

The transverse-mass dependence of the $\widehat{R}$ parameter, shown in 20-30% centrality bin. The values and uncertainties of the linear fit parameters $\widehat{A}$ and $\widehat{B}$ with the statistic and systematic uncertainties are shown in Fig. 9

The transverse-mass dependence of the $\widehat{R}$ parameter, shown in 30-40% centrality bin. The values and uncertainties of the linear fit parameters $\widehat{A}$ and $\widehat{B}$ with the statistic and systematic uncertainties are shown in Fig. 9

The transverse-mass dependence of the $\widehat{R}$ parameter, shown in 40-50% centrality bin. The values and uncertainties of the linear fit parameters $\widehat{A}$ and $\widehat{B}$ with the statistic and systematic uncertainties are shown in Fig. 9

The transverse-mass dependence of the $\widehat{R}$ parameter, shown in 50-60% centrality bin. The values and uncertainties of the linear fit parameters $\widehat{A}$ and $\widehat{B}$ with the statistic and systematic uncertainties are shown in Fig. 9

The $H$ parameter that characterize the magnitude of the $\lambda/\lambda_{max}(m_T)$ and is defined in Eq. (15)., shown as functions of $N_{part}$.

The $\sigma$ parameter that characterize the width of the $\lambda/\lambda_{max}(m_T)$ and is defined in Eq. (15)., shown as functions of $N_{part}$.

The parameter $A$ of the affine linear fit to the inverse square of the Lévy-scale parameter that are defined in Eq.(12) as function of $N_{part}$

The parameter $B$ of the affine linear fit to the inverse square of the Lévy-scale parameter that are defined in Eq.(12) as function of $N_{part}$

The parameter $\widehat{A}$ of the affine linear fit to the inverse of the $\widehat{R}$ parameter that are defined in Eq.(14) as function of $N_{part}$.

The parameter $\widehat{B}$ of the affine linear fit to the inverse of the $\widehat{R}$ parameter that are defined in Eq.(14) as function of $N_{part}$.

The centrality dependence of $\alpha_0$, the $m_T$-averaged value of $\alpha$ as a function of $N_{part}$.

The Lévy scale parameter $R$ as a function of $N^{1/3}_{part}$ at $m_T=0.326$ GeV.

The Lévy scale parameter $R$ as a function of $N^{1/3}_{part}$ at $m_T=0.438$ GeV.

The Lévy scale parameter $R$ as a function of $N^{1/3}_{part}$ at $m_T=0.553$ GeV.

The Lévy scale parameter $R$ as a function of $N^{1/3}_{part}$ at $m_T=0.670$ GeV.

The Lévy scale parameter $R$ as a function of $N^{1/3}_{part}$ at $m_T=0.787$ GeV.

Monte Carlo calcuations with no mass drop assumed in 0-10%.

Monte Carlo calcuations with no mass drop assumed in 10-20%.

Monte Carlo calcuations with no mass drop assumed in 20-30%.

Monte Carlo calcuations with no mass drop assumed in 30-40%.

Monte Carlo calcuations with no mass drop assumed in 40-50%.

Monte Carlo calcuations with no mass drop assumed in 50-60%.

Monte Carlo calcuations with the best mass drop assumed in 0-10%.

Monte Carlo calcuations with the best mass drop assumed in 10-20%.

Monte Carlo calcuations with the best mass drop assumed in 20-30%.

Monte Carlo calcuations with the best mass drop assumed in 30-40%.

Monte Carlo calcuations with the best mass drop assumed in 40-50%.

Monte Carlo calcuations with the best mass drop assumed in 50-60%.

The best values of $B^{-1}_{\eta\prime}$ spectrum of the $\eta\prime$ condensate in the six centrality classes.

The centrality dependence of the best values of the in-medium mass of the $m^{*}_{\eta\prime}$.

The CL maps of the comparison of the MC to data in 0-10% (see Fig. 11).

The CL maps of the comparison of the MC to data in 10-20% (see Fig. 11).

The CL maps of the comparison of the MC to data in 20-30% (see Fig. 11).

The CL maps of the comparison of the MC to data in 30-40% (see Fig. 11).

The CL maps of the comparison of the MC to data in 40-50% (see Fig. 11).

The CL maps of the comparison of the MC to data in 50-60% (see Fig. 11).