c$\bar{c}$ production cross section as a function of rapidity in $p$+$p$ collisions, measured using semileptonic decay to electrons (closed square) and to muons (closed circle).

Transverse momentum distribution of $R_{AA}$ for negative muons from heavy-flavor mesons decay in Cu+Cu collisions in the following centrality classes: 40-94% (top panel), 20-40% (middle panel) and 0-20% (bottom panel). Also shown in the bottom panel is a theoretical calculation from [39,40], discussed in Section V.

Comparison of $R_{AA}$ as a function of $N_{part}$ between heavy-flavor muons reconstructed at forward rapidity ($1.4<y<1.9$) and $p_T >$ 2 GeV in Cu+Cu collisions (red squares) and nonphotonic electrons reconstructed at midrapidity and $p_T>$ 3 GeV in Au+Au collisions (blue circles).

Comparison of $R_{AA}$ as a function of $N_{part}$ between heavy-flavor muons reconstructed at forward rapidity ($1.4<y<1.9$) and $p_T >$ 2 GeV in Cu+Cu collisions (red squares) and nonphotonic electrons reconstructed at midrapidity and $p_T>$ 3 GeV in Au+Au collisions (blue circles).

Invariant transverse momentum spectra of $\omega$ production in $p$+$p$ and $d$+Au collisions at $\sqrt{s}$=200 GeV.

Invariant transverse momentum spectra of $\omega$ production in $p$+$p$ and $d$+Au collisions at $\sqrt{s}$=200 GeV.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Invariant transverse momentum spectra of $\omega$ production in Cu+Cu (left) and Au+Au (right) collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel for three centrality bins and minimum bias.

Measured ${\omega}/{\pi}$ ratio as a function of $p_T$ in $p$ + $p$ collisions at $\sqrt{s}$=200 GeV.

Measured ${\omega}/{\pi}$ ratio as a function of $p_T$ in $p$ + $p$ collisions at $\sqrt{s}$=200 GeV.

Measured ${\omega}/{\pi}$ ratio as a function of $p_T$ in $p$ + $p$ collisions at $\sqrt{s}$=200 GeV.

${\omega}/{\pi}$ ratio versus transverse momentum in $d$+Au (0–88%) for $\omega \rightarrow {e}^{+}{e}^{-}$.

${\omega}/{\pi}$ ratio versus transverse momentum in $d$+Au (0–88%) for $\omega \rightarrow {\pi}^{+}{\pi}^{-}\pi^0$.

${\omega}/{\pi}$ ratio versus transverse momentum in $d$+Au (0–88%) for $\omega \rightarrow {\pi}^{0}\gamma$.

${\omega}/{\pi}$ ratio versus transverse momentum in Cu+Cu (0–94%) for $\omega \rightarrow {\pi}^{0}\gamma$.

${\omega}/{\pi}$ ratio versus transverse momentum in Au+Au (0–92%) for $\omega \rightarrow {\pi}^{0}\gamma$.

${\omega}/{\pi}$ ratio versus transverse momentum in Au+Au (0–92%) for $\omega \rightarrow {\pi}^{0}\gamma$.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–88, 0–20, 20-40, and 40-60% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 60–88% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–88, 20-40, and 40–60% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–20 and 60–88% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

Nuclear modification factor, RdAu, measured for the ${R}_{dAu}$ in 0–88, 0–20, 20-40, 40-60, and 60–88% centrality bins in $d$+Au collisions at $\sqrt{s}$=200 GeV.

$R_{AA}$ of the $\omega$ in Cu+Cu collisions from the $\omega \rightarrow \pi^0\gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

$R_{AA}$ of the $\omega$ in and Au+Au collisions from the $\omega \rightarrow \pi^0 \gamma$ decay channel.

($R_{AA}$) of the $\omega \rightarrow \pi^+\pi^-\pi^0$ collision for the $\omega$ meson integrated over the range $p_T$ > 7 $\mathrm{GeV}$/$c$ as a function of the number participating nucleons ($N_{part}$).

($R_{AA}$) of the $\omega \rightarrow \pi^0 \gamma$ collision for the $\omega$ meson integrated over the range $p_T$ > 7 $\mathrm{GeV}$/$c$ as a function of the number participating nucleons ($N_{part}$).

$R_{AA}$ of the $\omega \rightarrow \pi^0 \gamma$ collision for the $\omega$ meson integrated over the range $p_T$ > 7 $\mathrm{GeV}$/$c$ as a function of the number participating nucleons ($N_{part}$).

Invariant cross sections for inclusive P and PBAR production in P P collisions at a centre-of-mass energy of 200 GeV with feed-down weak decay corrections applied. There is an additional normalization uncertainty of 9.7 PCT.

Invariant cross sections for inclusive PI+ and PI- production in P P collisions at a centre-of-mass energy of 62.4 GeV. There is an additional normalization uncertainty of 11 PCT.

Invariant cross sections for inclusive K+ and K- production in P P collisions at a centre-of-mass energy of 62.4 GeV. There is an additional normalization uncertainty of 11 PCT.

Invariant cross sections for inclusive P and PBAR production in P P collisions at a centre-of-mass energy of 62.4 GeV with feed-down weak decay corrections NOT applied. There is an additional normalization uncertainty of 11 PCT.

Invariant cross sections for inclusive P and PBAR production in P P collisions at a centre-of-mass energy of 62.4 GeV with feed-down weak decay corrections applied. There is an additional normalization uncertainty of 11 PCT.

Away-side charged hadron yield per π 0 trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1 & Away-side isolated direct photon trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1.

Away-side charged hadron yield per π 0 trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1 & Away-side isolated direct photon trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1.

Away-side charged hadron yield per π 0 trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1.

Away-side isolated direct photon trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1.

Away-side charged hadron yield per π 0 trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1 & Away-side isolated direct photon trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1.

Away-side charged hadron yield per π 0 trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1.

Away-side isolated direct photon trigger as a function of xE, which is equivalent to zT in the collinear limit cos(∆φ) = 1.

Parameters of the Tsallis fit with parameter $n$ constrained to a fixed linear dependence on mass (for mesons). Cross sections are in $\mu$b for $J/\psi$ and $\psi^{\prime}$ and in mb for all other particles.

Constant and linear fits to the Tsallis parameter $T$ of mesons with fixed parameter $n$. The last column (Prob.) gives the probability estimated by the $\chi^2$/$n.d.f.$ of the fit.

Parameters of the Tsallis fit with Eq. 8 in the paper with parameters $n$ and $T$ constrained to have a fixed linear dependence on mass (for mesons). Cross sections are in $\mu$b for $J/\psi$ and $\psi^{\prime}$ and in mb for all other particles.

Cross sections in mb and $<p_T>$ in GeV/$c$ of different particles in $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV. PHENIX columns show the values obtained by fits to the experiment spectra with the Tsallis functional form as described in the text. One should state explicitly that these values do not supersede values given in the ”Published” column by the experiments, in their publications listed in the last column, or elsewhere. An additional 9.7% systematic uncertainty should be added to all $d\sigma$/$dy$ values listed in the column “PHENIX” to account for the trigger uncertainties. Values in the column “Published” are also given without these systematic uncertainties. The column “S.M.” is the prediction of the statistical model discussed in the text. The characteristic widths of the particle spectra are $\langle p_T \rangle$ for all species except for $J/\psi$ and $\psi^{\prime}$ for which the values given in the Table are $\langle p_T^2 \rangle$. For $\psi^{\prime}$ the integration is done in the $p_T$ regionbelow 5 GeV/$c$. All errors are the combined statistical and systematic uncertainties.

Cross sections in mb and $<p_T>$ in GeV/$c$ of different particles in $p$+$p$ collisions at $\sqrt{s}$ = 200 GeV. PHENIX columns show the values obtained by fits to the experiment spectra with the Tsallis functional form as described in the text. One should state explicitly that these values do not supersede values given in the ”Published” column by the experiments, in their publications listed in the last column, or elsewhere. An additional 9.7% systematic uncertainty should be added to all $d\sigma$/$dy$ values listed in the column “PHENIX” to account for the trigger uncertainties. Values in the column “Published” are also given without these systematic uncertainties. The column “S.M.” is the prediction of the statistical model discussed in the text. The characteristic widths of the particle spectra are $\langle p_T \rangle$ for all species except for $J/\psi$ and $\psi^{\prime}$ for which the values given in the Table are $\langle p_T^2 \rangle$. For $\psi^{\prime}$ the integration is done in the $p_T$ regionbelow 5 GeV/$c$. All errors are the combined statistical and systematic uncertainties.

The invariant differential cross section ${d^2 \sigma}$/${2\pi p_T dy p_T}$ of $\omega$ meson production measured in the indicated decay channel. Type A uncertainties are $p_T$ independent. Type C & B systematic uncertainties are residual with Type B having an unknown $p_T$ dependence. For each $y$-coordinate in each $p_T$ bin was varied by the same amount according to the uncertainty Type C.

The invariant differential cross section ${d^2 \sigma}$/${2\pi p_T dy p_T}$ of $\omega$ meson production measured in the indicated decay channel. Type A uncertainties are $p_T$ independent. Type C & B systematic uncertainties are residual with Type B having an unknown $p_T$ dependence. For each $y$-coordinate in each $p_T$ bin was varied by the same amount according to the uncertainty Type C.

The invariant differential cross section ${d^2 \sigma}$/${2\pi p_T dy p_T}$ of $\omega$ meson production measured in the indicated decay channel. Type A uncertainties are $p_T$ independent. Type C & B systematic uncertainties are residual with Type B having an unknown $p_T$ dependence. For each $y$-coordinate in each $p_T$ bin was varied by the same amount according to the uncertainty Type C.

The invariant differential cross section ${d^2 \sigma}$/${2\pi p_T dy p_T}$ of $\omega$ meson production measured in the indicated decay channel. Type A uncertainties are $p_T$ independent. Type C & B systematic uncertainties are residual with Type B having an unknown $p_T$ dependence. For each $y$-coordinate in each $p_T$ bin was varied by the same amount according to the uncertainty Type C.

The invariant differential cross section ${d^2 \sigma}$/${2\pi p_T dy p_T}$ of $\omega$ meson production measured in the indicated decay channel. Type A uncertainties are $p_T$ independent. Type C & B systematic uncertainties are residual with Type B having an unknown $p_T$ dependence. For each $y$-coordinate in each $p_T$ bin was varied by the same amount according to the uncertainty Type C.

The invariant differential cross section ${d^2 \sigma}$/${2\pi p_T dy p_T}$ of $\omega$ meson production measured in the indicated decay channel. Type A uncertainties are $p_T$ independent. Type C & B systematic uncertainties are residual with Type B having an unknown $p_T$ dependence. For each $y$-coordinate in each $p_T$ bin was varied by the same amount according to the uncertainty Type C.

The invariant differential cross section ${d^2 \sigma}$/${2\pi p_T dy p_T}$ of $\omega$ meson production measured in the indicated decay channel. Type A uncertainties are $p_T$ independent. Type C & B systematic uncertainties are residual with Type B having an unknown $p_T$ dependence. For each $y$-coordinate in each $p_T$ bin was varied by the same amount according to the uncertainty Type C.

Differential invariant yield of electrons (($N_{e^+}$+$N_{e^-}$)/2) from heavy-flavor decays for different centrality classes.

Differential invariant yield of electrons (($N_{e^+}$+$N_{e^-}$)/2) from heavy-flavor decays for different centrality classes.

Differential invariant yield of electrons (($N_{e^+}$+$N_{e^-}$)/2) from heavy-flavor decays for different centrality classes.

Differential invariant yield of electrons (($N_{e^+}$+$N_{e^-}$)/2) from heavy-flavor decays for different centrality classes.

$R_{AuAu}(p^e_T)$ for different centrality classes.

$R_{AuAu}(p^e_T)$ for different centrality classes.

$R_{AuAu}(p^e_T)$ for different centrality classes.

$p^e_T$-integrated nuclear modification factors $R_{AuAu}$.

Nonphotonic electron $v_2$ as a function of $p_T$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

$R_{AA}$ for $\phi$ integrated at $p_T$ > 2.2 GeV/$c$ in Cu+Cu and Au+Au collisions vs. $N_{part}$. The global uncertainty related to the $p$+$p$ reference normalization is shown as a box on the right in the figure from the paper.

$R_{AA}$ for $\phi$ integrated at $p_T$ > 2.2 GeV/$c$ in Cu+Cu and Au+Au collisions vs. $N_{part}$. The global uncertainty related to the $p$+$p$ reference normalization is shown as a box on the right in the figure from the paper.

$R_{dA}$ vs. $p_T$ for $\phi$, $\pi^0$, and ($p$+$\bar{p}$) for 0-20% centrality $d$+Au collisions, and $R_{dA}$ vs. $p_T$ for $\phi$, $\pi^0$, and ($p$+$\bar{p}$) for 60-88% peripheral $d$+Au collisions. The global uncertainty of ~ 10% related to the $p$+$p$ reference normalization is not shown.

(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.