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CMS-HIN-20-001 ; CERN-EP-2021-254
Probing charm quark dynamics via multiparticle correlations in PbPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV
Phys. Rev. Lett. 129 (2022) 022001
Abstract: Multiparticle azimuthal correlations of prompt D$ ^{0} $ mesons are measured in PbPb collisions at a nucleon-nucleon center-of-mass energy of ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV. The data, collected using the CMS detector at the LHC in 2018, correspond to an integrated luminosity of 0.58 nb$^{-1}$. For the first time, a four-particle cumulant method is used to extract the second Fourier coefficient of the azimuthal distribution (${v_{2}}$) of D$ ^{0} $ mesons as a function of event centrality and the D$ ^{0} $ transverse momentum. The ratios of the four-particle ${v_{2}}$ values to previously measured two-particle cumulant results provide direct experimental access to event-by-event fluctuations of charm quark azimuthal anisotropies. These ratios are also found to be comparable to those of inclusive charged particles in the event. However, hints of deviations are seen in the most central and peripheral collisions. To investigate the origin of flow fluctuations in the charm sector, these measurements are compared with models implementing fluctuations of charm quark energy loss via collisional or radiative processes in the quark-gluon plasma. These models cannot quantitatively describe the data over the full transverse momentum and centrality ranges, although the calculations with collisional energy loss provide a better description of the data.
Figures Summary References CMS Publications
Figures

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Figure 1:
An example of the two-step fit of the mass spectrum (upper) and ${v_{2}^{\text {sig+bkg}}\{4\}}$ (lower) in the ${p_{\mathrm {T}}}$ interval 3-4 GeV for the centrality class 30-50%.

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Figure 2:
Upper panel: prompt D$ ^{0} $ meson ${v_{2}\{2\}}$ and ${v_{2}\{4\}}$ coefficients within $ {| y |} < $ 1, as a function of ${p_{\mathrm {T}}}$, for the centrality classes 10-30% (left) and 30-50% (right) from PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV. The blue solid and dashed lines denote the DABMod model calculations using Langevin dynamics for ${v_{2}\{4\}}$ and ${v_{2}\{2\}}$, respectively [11,12]. The green solid and dashed lines represent the DABMod model calculation including radiative energy loss (E-loss) for ${v_{2}\{4\}}$ and ${v_{2}\{2\}}$, respectively. Lower panel: the prompt D$ ^{0} $ meson ${{v_{2}\{4\}} / {v_{2}\{2\}}}$ ratios are shown and compared to those for charged particles [52]. The vertical bars represent statistical uncertainties and the open boxes denote the systematic uncertainties. The ${v_{2}\{2\}}$ values are measured previously by CMS in Ref. [25].

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Figure 3:
Upper panel: the prompt D$ ^{0} $ meson ${v_{2}\{2\}}$ and ${v_{2}\{4\}}$ in the range $ {| y |} < $ 1 as a function of centrality for 2 $ < {p_{\mathrm {T}}} < $ 8 GeV in PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV. The blue solid and dashed lines denote the DABMod model calculations with Langevin dynamics for ${v_{2}\{4\}}$ and ${v_{2}\{2\}}$, respectively [11,12]. The green solid and dashed lines represent the DABMod model calculation including radiative energy loss (E-loss). The ${v_{2}\{2\}}$ values are measured previously by CMS in Ref. [25]. Lower panel: the prompt D$ ^{0} $ meson ${{v_{2}\{4\}} / {v_{2}\{2\}}}$ are compared to the same ratio for charged particles in the pseudorapidity range $ {| \eta |} < $ 1 [52]. The vertical bars represent statistical uncertainties and open boxes denote the systematic uncertainties. The blue and green solid lines show ${{v_{2}\{4\}} / {v_{2}\{2\}}}$ under the DABMod model with Langevin and radiative E-loss transport processes, respectively.
Summary
In summary, the first measurements of the elliptic flow for prompt $\mathrm{D}^{0}$ and $\overline{\mathrm{D}}{}^{0}$ mesons using a four-particle cumulant method are presented. These ${v_{2}\{4\}}/{v_{2}\{2\}}$ values are systematically lower than the measured two-particle elliptic flow values, ${v_{2}\{2\}}$, indicating the presence of event-by-event fluctuations in the flow signal [22]. To further investigate the origin of ${v_{2}}$ fluctuations, ${v_{2}\{4\}}/{v_{2}\{2\}}$ ratios of prompt $\mathrm{D}^{0}$ mesons are compared to those of light-flavor hadrons. Similar trends for both charm mesons and light-flavor hadrons are observed, suggesting that the dominant contribution to ${v_{2}}$ fluctuations comes from the initial geometry. An indication of splitting of the ${v_{2}\{4\}}/{v_{2}\{2\}}$ ratios between charm mesons and light-flavor hadrons in the most central and most peripheral events is seen, which may suggest an additional contribution, such as energy loss fluctuations. Model calculations implementing collisional energy loss mechanisms provide a better description of the data than those considering radiative energy loss.
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