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CMS-PAS-HIN-19-008
Search for strong electromagnetic fields in PbPb collisions at 5.02 TeV via azimuthal anisotropy of $\mathrm{D^0}$ and ${\mathrm{\overline{D}}{}^0}$ mesons
Abstract: Motivated by the search for strong electromagnetic fields created in PbPb collisions, the first measurement of the $v_2$ difference ($\Delta v_2$) between $\mathrm{D^0}$ and ${\mathrm{\overline{D}}{}^0}$ is presented as a function of rapidity. The result for the rapidity-averaged $v_2$ difference is found to be $ < \Delta v_2 > = $ 0.001 $\pm$ 0.001 (stat) $\pm$ 0.003 (syst), consistent with zero within experimental uncertainties. Comparisons with models may help to directly constrain the electric conductivity of the hot and dense medium formed in these collisions. Measurements of flow harmonics of $\mathrm{D^0}$ ($\bar{u}c$) and ${\mathrm{\overline{D}}{}^0}$ ($u\bar{c}$) mesons are presented as functions of rapidity ($y$), transverse momentum ($p_{\mathrm{T}}$), and collision centrality, for PbPb collisions at 5.02 TeV, using data collected by the CMS experiment during the 2018 LHC run. The results improve previous ones published by CMS, by extending the $p_{\mathrm{T}}$ coverage and providing more differential information. A clear centrality dependence of prompt $\mathrm{D^0}$ $v_2$ is observed, while $v_3$ is largely independent of centrality. The trend is consistent with expectations of flow driven by the initial-state geometry. No significant rapidity dependence of prompt ${\mathrm{\overline{D}}{}^0}$ $v_2$ and $v_3$ is observed.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Simultaneous fit on mass spectrum and $v_2$ ($\Delta v_2$) as function of invariant mass for 3.0 $ < p_{\mathrm{T}} < $ 3.5 GeV/$c$, centrality 20-70% and $-0.6 < y < 0.0$.

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Figure 2:
Prompt $ {\mathrm{D^0}} $ meson $v_2$ (top) and $v_3$ (bottom) coefficients at midrapidity ($|y| < 1$) for the centrality classes 0-10% (left), 10-30% (middle), and 30-50% (right). The vertical bars represent statistical uncertainties and open boxes represent the systematic uncertainties. Theoretical calculations for $v_n$ coefficient of prompt $ {\mathrm{D^0}} $ mesons are also plotted for comparison.

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Figure 3:
Prompt $ {\mathrm{D^0}} $ meson $v_2$ (top) and $v_3$ (bottom) coefficients at midrapidity ($|y| < 1$) and forward rapidity ($ 1 < |y| < 2$) for the centrality classes 0-10% (left), 10-30% (middle), and 30-50% (right). The vertical bars represent statistical uncertainties and open boxes represent the systematic uncertainties.

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Figure 4:
Prompt $ {\mathrm{D^0}} $ meson $v_2$ and $v_3$ as functions of centrality, for 2.0 $ < {p_{\mathrm {T}}} < $ 8.0 GeV/$c$ and for rapidity ranges $|y| < $ 1 and 1 $ < |y| < $ 2 (left). Prompt $ {\mathrm{D^0}} $ $v_2$ and $v_3$ as function of rapidity, for 2.0 $ < {p_{\mathrm {T}}} < $ 8.0 GeV/$c$ and for centrality 20-70% (right). The vertical bars represent statistical uncertainties and open boxes represent the systematic uncertainties.

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Figure 4-a:
Prompt $ {\mathrm{D^0}} $ meson $v_2$ and $v_3$ as functions of centrality, for 2.0 $ < {p_{\mathrm {T}}} < $ 8.0 GeV/$c$ and for rapidity ranges $|y| < $ 1 and 1 $ < |y| < $ 2. The vertical bars represent statistical uncertainties and open boxes represent the systematic uncertainties.

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Figure 4-b:
Prompt $ {\mathrm{D^0}} $ $v_2$ and $v_3$ as function of rapidity, for 2.0 $ < {p_{\mathrm {T}}} < $ 8.0 GeV/$c$ and for centrality 20-70%. The vertical bars represent statistical uncertainties and open boxes represent the systematic uncertainties.

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Figure 5:
Prompt $ {\mathrm{D^0}} $ meson $\Delta v_2$ as a function of rapidity, for 2.0 $ < {p_{\mathrm {T}}} < $ 8.0 GeV/$c$ and centrality 20-70%. The vertical bars represent statistical uncertainties and open boxes represent the systematic uncertainties.
Tables

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Table 1:
Summary of systematic uncertainties for $v_2$. Ranges of variation of uncertainties for each binning are presented. The cells filled with "$-$'' refer to the cases where no estimate of uncertainty is required for the source or where the uncertainty cancels out.

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Table 2:
Summary of systematic uncertainties for $v_3$. Ranges of variation of uncertainties for each binning are presented. The cells filled with "$-$'' refer to the cases where no estimate of uncertainty is required for the source or where the uncertainty cancels out.

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Table 3:
Summary of systematic uncertainties for $\Delta v_2$. Ranges of variation of uncertainties for each binning are presented. The cells filled with "$-$'' refer to the cases where no estimate of uncertainty is required for the source or where the uncertainty cancels out.
Summary
New measurements of prompt ${\mathrm{D^0}}$ mesons elliptic ($v_2$) and triangular ($v_3$) flow are presented as a function of ${p_{\mathrm{T}}}$, rapidity and collision centrality, in PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV. The results improve previously published CMS data by extending the ${p_{\mathrm{T}}}$ coverage and by providing more differential information. A clear centrality dependency of prompt ${\mathrm{D^0}}$ $v_2$ is observed, while $v_3$ is largely centrality independent. The trend is consistent with the expectation of a centrality dependency driven by initial-state geometry. No significant rapidity dependency of prompt ${\mathrm{D^0}}$ $v_2$ and $v_3$ is observed, although possible dependency on rapidity cannot be discarded. When comparing against various theoretical calculations at midrapidity, no model is able to describe the data over the full centrality and ${p_{\mathrm{T}}}$ ranges. Motivated by the search for a strong electric field possibly created in PbPb collisions, a first measurement of the $v_2$ difference ($\Delta v_2$) between ${\mathrm{D^0}}$ and ${\mathrm{\overline{D}}{}^0}$ as a function of rapidity is presented. The rapidity-averaged $v_2$ difference is measured to be $<\Delta v_2 > = $ 0.001 $\pm$ 0.001 (stat) $\pm$ 0.003 (syst), consistent with zero within the experimental uncertainties, indicating that no effect of electric field on charm hadron collective flow is observed. Future model comparisons may provide constraints on the electric conductivity of the QGP medium.
References
1 BRAHMS Collaboration Quark gluon plasma and color glass condensate at RHIC? The Perspective from the BRAHMS experiment NP A 757 (2005) 1 arXiv:nucl-ex/0410020
2 PHOBOS Collaboration The PHOBOS perspective on discoveries at RHIC NP A 757 (2005) 28 arXiv:nucl-ex/0410022
3 STAR Collaboration Experimental and theoretical challenges in the search for the quark gluon plasma: The STAR Collaboration's critical assessment of the evidence from RHIC collisions NP A 757 (2005) 102 arXiv:nucl-ex/0501009
4 PHENIX Collaboration Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration NP A 757 (2005) 184 arXiv:nucl-ex/0410003
5 ALICE Collaboration Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV PRL 105 (2010) 252302 1011.3914
6 ATLAS Collaboration Measurement of the pseudorapidity and transverse momentum dependence of the elliptic flow of charged particles in lead-lead collisions at $ {\sqrt{s_{_{\text{NN}}}}} = $ 2.76 TeV with the ATLAS detector PLB 707 (2012) 330 1108.6018
7 CMS Collaboration Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at $ {\sqrt{s_{_{\text{NN}}}}} = $ 2.76 TeV PRC 87 (2013) 014902 CMS-HIN-10-002
1204.1409
8 J.-Y. Ollitrault Determination of the reaction plane in ultrarelativistic nuclear collisions PRD 48 (1993) 1132 hep-ph/9303247
9 S. Voloshin and Y. Zhang Flow study in relativistic nuclear collisions by Fourier expansion of azimuthal particle distributions Z. Phys. C 70 (1994) 665 hep-ph/9407282
10 A. M. Poskanzer and S. A. Voloshin Methods for analyzing anisotropic flow in relativistic nuclear collisions PRC 58 (1998) 1671 arXiv:nucl-ex/9805001
11 P. Braun-Munzinger Quarkonium production in ultra-relativistic nuclear collisions: Suppression versus enhancement JPG 34 (2007) S471 arXiv:nucl-th/0701093
12 F.-M. Liu and S.-X. Liu Quark-gluon plasma formation time and direct photons from heavy ion collisions PRC 89 (2014) 034906 arXiv:nucl-th/1212.6587
13 U. Gursoy et al. Charge-dependent Flow Induced by Magnetic and Electric Fields in Heavy Ion Collisions PRC 98 (2018) 055201 1806.05288
14 S. K. Das et al. Directed Flow of Charm Quarks as a Witness of the Initial Strong Magnetic Field in Ultra-Relativistic Heavy Ion Collisions PLB 768 (2017) 260 arXiv:nucl-th/1608.02231
15 S. Chatterjee and P. Bozek Large directed flow of open charm mesons probes the three dimensional distribution of matter in heavy ion collisions PRL 120 (2018) 192301 1712.01189
16 STAR Collaboration Elliptic flow from two and four particle correlations in Au+Au collisions at s(NN)**(1/2) = 130-GeV PRC 66 (2002) 034904 arXiv:nucl-ex/0206001
17 M. Luzum and J.-Y. Ollitrault Eliminating experimental bias in anisotropic-flow measurements of high-energy nuclear collisions PRC 87 (2013) 044907 arXiv:nucl-ex/1209.2323
18 A. Hoecker et al. TMVA: Toolkit for Multivariate Data Analysis PoS ACAT (2007) 040 physics/0703039
19 CMS Collaboration Measurement of prompt $ D^0 $ meson azimuthal anisotropy in Pb-Pb collisions at $ \sqrt{{s}_{NN}} = $ 5.02 TeV PRL 120 (2018) 202301 CMS-HIN-16-007
1708.03497
20 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
21 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
22 CMS Collaboration Charged-particle nuclear modification factors in PbPb and pPb collisions at $ \sqrt{s_{\mathrm{N}\;\mathrm{N}}}= $ 5.02 TeV JHEP 04 (2017) 039 CMS-HIN-15-015
1611.01664
23 T. Sjostrand et al. An Introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
24 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements CMS-GEN-17-001
1903.12179
25 I. P. Lokhtin and A. M. Snigirev A Model of jet quenching in ultrarelativistic heavy ion collisions and high-p(T) hadron spectra at RHIC EPJC 45 (2006) 211 hep-ph/0506189
26 Particle Data Group Collaboration Review of Particle Physics PRD 98 (2018) 030001
27 NA49 Collaboration Directed and elliptic flow of charged pions and protons in Pb + Pb collisions at 40-A-GeV and 158-A-GeV PRC 68 (2003) 034903 nucl-ex/0303001
28 CMS Collaboration Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeV/ c in PbPb collisions at $ \sqrt {s}_{{NN}} = $ 5.02 TeV PLB 776 (2018) 195 CMS-HIN-15-014
1702.00630
29 S. Cao, T. Luo, G.-Y. Qin, and X.-N. Wang Linearized Boltzmann transport model for jet propagation in the quark-gluon plasma: Heavy quark evolution PRC 94 (2016) 014909 1605.06447
30 J. Xu, J. Liao, and M. Gyulassy Bridging Soft-Hard Transport Properties of Quark-Gluon Plasmas with CUJET3.0 JHEP 02 (2016) 169 1508.00552
31 M. Nahrgang et al. Elliptic and triangular flow of heavy flavor in heavy-ion collisions PRC 91 (2015) 014904 1410.5396
32 M. He, R. J. Fries, and R. Rapp Heavy Flavor at the Large Hadron Collider in a Strong Coupling Approach PLB 735 (2014) 445 1401.3817
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