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CMS-PAS-HIN-16-023
Measurement of nuclear modification factors of $\Upsilon\textrm{(nS)}$ mesons in PbPb collisions at $\sqrt{s_{\text{NN}}} = $ 5.02 TeV
Abstract: The cross sections of $\Upsilon\textrm{(1S)}$, $\Upsilon\textrm{(2S)}$, and $\Upsilon\textrm{(3S)}$ production in PbPb and pp collisions at $\sqrt{s_{\mathrm{NN}}} = $ 5.02 TeV are reported. The nuclear modification factors, $R_\mathrm{AA}$, derived from the PbPb-to-pp ratio of yields for each state, are studied as a function of rapidity, transverse momentum and centrality. A strong modification is observed for all $\Upsilon$ states. The suppression of $\Upsilon\textrm{(1S)}$ seen in PbPb collisions at $\sqrt{s_{\mathrm{NN}}} = $ 5.02 TeV is stronger than the previous one measured at $\sqrt{s_{\mathrm{NN}}} = $ 2.76 TeV, consistent with an increase in the medium temperature at the higher energy. We obtain an upper limit on the production of $\Upsilon\textrm{(3S)}$ of 0.071 at 95% confidence level, the smallest value measured for a hadron $R_\mathrm{AA}$ in heavy ion collisions so far.
Figures Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Invariant mass distribution of muon pairs in pp (left) and PbPb (right) collisions, for the kinematic range, $ {p_{\mathrm {T}}} ^{\mu \mu } < $ 2 GeV/$c$ and $|y^{\mu \mu }|< $ 2.4. The result of the fit and the corresponding pull distributions are also shown.

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Figure 1-a:
Invariant mass distribution of muon pairs in pp collisions, for the kinematic range, $ {p_{\mathrm {T}}} ^{\mu \mu } < $ 2 GeV/$c$ and $|y^{\mu \mu }|< $ 2.4. The result of the fit and the corresponding pull distribution are also shown.

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Figure 1-b:
Invariant mass distribution of muon pairs in PbPb collisions, for the kinematic range, $ {p_{\mathrm {T}}} ^{\mu \mu } < $ 2 GeV/$c$ and $|y^{\mu \mu }|< $ 2.4. The result of the fit and the corresponding pull distribution are also shown.

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Figure 2:
Double differential cross sections of the ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}} $, and ${\Upsilon \textrm {(3S)}} $ mesons as a function of ${p_{\mathrm {T}}} $ for pp (left) and PbPb (right) collisions. The error bars represent the statistical and the boxes the systematic uncertainties. The global luminosity uncertainties of 2.3% in pp and 2% in PbPb $ {N_{\rm MB}}$ are not shown.

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Figure 2-a:
Double differential cross sections of the ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}} $, and ${\Upsilon \textrm {(3S)}} $ mesons as a function of ${p_{\mathrm {T}}} $ for pp collisions. The error bars represent the statistical and the boxes the systematic uncertainties. The global luminosity uncertainty of 2.3% is not shown.

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Figure 2-b:
Double differential cross sections of the ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}} $, and ${\Upsilon \textrm {(3S)}} $ mesons as a function of ${p_{\mathrm {T}}} $ for PbPb collisions. The error bars represent the statistical and the boxes the systematic uncertainties. The global luminosity uncertainty of 2% is not shown.

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Figure 3:
Differential cross sections of the ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}} $, and ${\Upsilon \textrm {(3S)}} $ mesons as a function of rapidity for pp (left) and PbPb (right) collisions. The error bars represent the statistical and the boxes the systematic uncertainties. The global luminosity uncertainties of 2.3% in pp and 2% in PbPb $ {N_{\rm MB}} $ are not shown.

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Figure 3-a:
Differential cross sections of the ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}} $, and ${\Upsilon \textrm {(3S)}} $ mesons as a function of rapidity for pp collisions. The error bars represent the statistical and the boxes the systematic uncertainties. The global luminosity uncertainty of 2.3% is not shown.

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Figure 3-b:
Differential cross sections of the ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}} $, and ${\Upsilon \textrm {(3S)}} $ mesons as a function of rapidity for PbPb collisions. The error bars represent the statistical and the boxes the systematic uncertainties. The global luminosity uncertainty of 2% is not shown.

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Figure 4:
Nuclear modification factors of ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}}$ and ${\Upsilon \textrm {(3S)}} $ meson as functions of ${p_{\mathrm {T}}} $ (left) and rapidity (right). The error bars represent the statistical and the boxes the systematic uncertainties. The gray box near the line at unity displays the global uncertainty which consists of the uncertainties from ${T_{\rm AA}}$, pp luminosity and PbPb ${N_{\rm MB}}$.

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Figure 4-a:
Nuclear modification factors of ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}}$ and ${\Upsilon \textrm {(3S)}} $ meson as functions of ${p_{\mathrm {T}}} $. The error bars represent the statistical and the boxes the systematic uncertainties. The gray box near the line at unity displays the global uncertainty which consists of the uncertainties from ${T_{\rm AA}}$, pp luminosity and PbPb ${N_{\rm MB}}$.

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Figure 4-b:
Nuclear modification factors of ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}}$ and ${\Upsilon \textrm {(3S)}} $ meson as functions of rapidity. The error bars represent the statistical and the boxes the systematic uncertainties. The gray box near the line at unity displays the global uncertainty which consists of the uncertainties from ${T_{\rm AA}}$, pp luminosity and PbPb ${N_{\rm MB}}$.

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Figure 5:
Nuclear modification factors of ${\Upsilon \textrm {(1S)}} $, ${\Upsilon \textrm {(2S)}}$ and ${\Upsilon \textrm {(3S)}} $ mesons as a function of ${N_{\mathrm {part}}}$. The error bars represent the statistical and the boxes the systematic uncertainties. The black box near the dashed line at unity represents the global uncertainty in pp luminosity and PbPb $ {N_{\rm MB}}$ which applies to both ${\Upsilon \textrm {(1S)}}$ and ${\Upsilon \textrm {(2S)}}$ states. The red and blue boxes show the uncertainties of pp yields for ${\Upsilon \textrm {(1S)}}$ and ${\Upsilon \textrm {(2S)}}$ states, respectively. The global uncertainties for the ${\Upsilon \textrm {(3S)}}$ results are embedded in the upper limit computation. For the centrality-integrated results in the right sub-panel, the systematic uncertainty values include the global uncertainties.
Summary
The pp and PbPb data at $\sqrt{s_{\text{NN}}} = $ 5.02 TeV collected with the CMS detector were analyzed to measure the cross sections of ${\Upsilon\textrm{(1S)}} $, ${\Upsilon\textrm{(2S)}} $, and ${\Upsilon\textrm{(3S)}} $ mesons and their nuclear modification factors as functions of $p_{\mathrm{T}}$, $|y|$ and centrality. A gradual decrease of ${R_{\mathrm{AA}}} $ with centrality for the ${\Upsilon\textrm{(1S)}} $ and ${\Upsilon\textrm{(2S)}} $ states is observed. We measure a small increase of ${R_{\mathrm{AA}}} $ as function of $p_{\mathrm{T}}$ for the ${\Upsilon\textrm{(1S)}} $ state, while ${R_{\mathrm{AA}}} $ values of the ${\Upsilon\textrm{(2S)}} $ and ${\Upsilon\textrm{(3S)}} $ states are consistent with being constant. For all three ${\Upsilon} $ states we observe a constant rapidity dependence of ${R_{\mathrm{AA}}} $ in the measured region. The modification of ${\Upsilon\textrm{(1S)}} $ is larger than the one seen at ${\sqrt{s_{\text{NN}}}} = $ 2.76 TeV, where ${\Upsilon\textrm{(1S)}} $ mesons were suppressed by factor of $\approx$2. This result hints at an increase of the temperature of the medium created by heavy ion collisions at higher collision energy. We observe the nuclear modification factor to be below 0.071 at 95% CL, making this the smallest ${R_{\mathrm{AA}}} $ observed for any hadron.
Additional Figures

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Additional Figure 1:
$R_{\text {AA}}$ vs. centrality for $\Upsilon \textrm {(1S)}$ at 2.76 (blue points) and 5.02 TeV (red points).

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Additional Figure 2:
$R_{\text {AA}}$ vs. $ {p_{\mathrm{T}}}$ for $\Upsilon \textrm {(1S)}$ at 2.76 (blue points) and 5.02 TeV (red points).

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Additional Figure 3:
$R_{\text {AA}}$ vs. rapidity for $\Upsilon \textrm {(1S)}$ at 2.76 (blue points) and 5.02 TeV (red points).

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Additional Figure 4:
$R_{\text {AA}}$ vs. centrality for $\Upsilon \textrm {(2S)}$ at 2.76 (blue points) and 5.02 TeV (red points).

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Additional Figure 5:
$R_{\text {AA}}$ vs. $ {p_{\mathrm{T}}}$ for $\Upsilon \textrm {(2S)}$ at 2.76 (blue points) and 5.02 TeV (red points).

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Additional Figure 6:
$R_{\text {AA}}$ vs. rapidity for $\Upsilon \textrm {(2S)}$ at 2.76 (blue points) and 5.02 TeV (red points).

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Additional Figure 7:
PbPb data mass plot overlaid with the $R_{\text {AA}}$ scaled pp result.

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Additional Figure 8:
$R_{\text {AA}}$ vs. centrality for $\Upsilon \textrm {(1S)}$ and $\Upsilon \textrm {(2S)}$ compared with a hydrodynamic model.

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Additional Figure 9:
$R_{\text {AA}}$ vs. centrality for $\Upsilon \textrm {(1S)}$, $\Upsilon \textrm {(2S)}$ and $\Upsilon \textrm {(3S)}$ compared with a hydrodynamic model.

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Additional Figure 10:
$R_{\text {AA}}$ vs. $ {p_{\mathrm{T}}}$ for $\Upsilon \textrm {(1S)}$ and $\Upsilon \textrm {(2S)}$ compared with a hydrodynamic model.

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Additional Figure 11:
$R_{\text {AA}}$ vs. rapidity for $\Upsilon \textrm {(1S)}$ and $\Upsilon \textrm {(2S)}$ compared with a hydrodynamic model.

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Additional Figure 12:
$R_{\text {AA}}$ vs. centrality for $\Upsilon \textrm {(3S)}$ compared with a hydrodynamic model.

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Additional Figure 13:
$R_{\text {AA}}$ vs. $ {p_{\mathrm{T}}}$ for $\Upsilon \textrm {(3S)}$ compared with a hydrodynamic model.

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Additional Figure 14:
$R_{\text {AA}}$ vs. rapidity for $\Upsilon \textrm {(3S)}$ compared with a hydrodynamic model.

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Additional Figure 15:
$R_{\text {AA}}$ vs. centrality for $\Upsilon \textrm {(1S)}$ measured at 2.76 (blue points) and 5.02 TeV (red points) compared with a hydrodynamic model.

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Additional Figure 16:
$R_{\text {AA}}$ vs. centrality for $\Upsilon \textrm {(1S)}$ measured at 2.76 (blue points) and 5.02 TeV (red points) compared with a hydrodynamic model.
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