CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-HIN-16-017
Charge asymmetry dependence of elliptic and triangular flow in pPb and PbPb collisions at $\sqrt{ s_{\text{NN}} } = $ 5.02 TeV
Abstract: Charge dependent elliptic azimuthal anisotropy ($v_{\rm 2}$) in pPb and both $v_{\rm 2}$ and triangular azimuthal anisotropy ($v_{\rm 3}$) in PbPb collisions are measured at $\sqrt{ s_{\text{NN}} } = $ 5.02 TeV with the CMS detector at the LHC. The normalized difference of $v_{\rm 2}$ between positively and negatively charged particles, ($v_{\rm 2}^{-}-v_{\rm 2}^{+}$)/($v_{\rm 2}^{-}+v_{\rm 2}^{+}$), shows a linear dependence with respect to the event-charged asymmetry $A_{\rm ch}$, with comparable slopes observed for pPb and PbPb collisions at similar multiplicities. In PbPb collisions, the slopes are found to be the same for the $v_{\rm 2}$ and $v_{\rm 3}$ coefficients within uncertainties. These observations pose a challenge to the hypothesis that the charge asymmetry dependence of $v_{\rm 2}$ arises from a chiral magnetic wave. However, the results are in qualitative agreement with expectations based on local charge conservation.
Figures Summary References CMS Publications
Figures

png pdf
Figure 1:
Elliptic flow $v_2$ for positive- and negative-charged particles as a function of charge asymmetry (left) and the normalized $v_{2}$ difference, $(v^{-}_{2} - v^{+}_{2})/(v^{-}_{2} + v^{+}_{2})$, as a function of corrected event charge asymmetry (right) for multiplicity range 185 $ \leq {N_\mathrm {trk}^\mathrm {offline}} < $ 220 in PbPb collisions at 5.02 TeV. Statistical uncertainties are indicated by the error bars.

png pdf
Figure 1-a:
Elliptic flow $v_2$ for positive- and negative-charged particles as a function of charge asymmetry (left) and the normalized $v_{2}$ difference, $(v^{-}_{2} - v^{+}_{2})/(v^{-}_{2} + v^{+}_{2})$, as a function of corrected event charge asymmetry (right) for multiplicity range 185 $ \leq {N_\mathrm {trk}^\mathrm {offline}} < $ 220 in pPb collisions at 5.02 TeV. Statistical uncertainties are indicated by the error bars.

png pdf
Figure 1-b:
Elliptic flow $v_2$ for positive- and negative-charged particles as a function of charge asymmetry (left) and the normalized $v_{2}$ difference, $(v^{-}_{2} - v^{+}_{2})/(v^{-}_{2} + v^{+}_{2})$, as a function of corrected event charge asymmetry (right) for multiplicity range 185 $ \leq {N_\mathrm {trk}^\mathrm {offline}} < $ 220 in PbPb collisions at 5.02 TeV. Statistical uncertainties are indicated by the error bars.

png pdf
Figure 2:
The event-averaged $ {p_{\mathrm {T}}} $ value ($ < {p_{\mathrm {T}}} >$) for positive- and negative-charged particles as a function of charge asymmetry (left) and the normalized $ < {p_{\mathrm {T}}} >$ difference, $( < {p_{\mathrm {T}}} >^{-} - < {p_{\mathrm {T}}} >^{+})/( < {p_{\mathrm {T}}} >^{-} + < {p_{\mathrm {T}}} >^{+})$, as a function of corrected event charge asymmetry (right) for multiplicity range 185 $ \leq {N_\mathrm {trk}^\mathrm {offline}} < $ 220 in pPb and PbPb collisions at 5.02 TeV. Statistical uncertainties are covered by the data points.

png pdf
Figure 2-a:
The event-averaged $ {p_{\mathrm {T}}} $ value ($ < {p_{\mathrm {T}}} >$) for positive- and negative-charged particles as a function of charge asymmetry (left) and the normalized $ < {p_{\mathrm {T}}} >$ difference, $( < {p_{\mathrm {T}}} >^{-} - < {p_{\mathrm {T}}} >^{+})/( < {p_{\mathrm {T}}} >^{-} + < {p_{\mathrm {T}}} >^{+})$, as a function of corrected event charge asymmetry (right) for multiplicity range 185 $ \leq {N_\mathrm {trk}^\mathrm {offline}} < $ 220 in pPb collisions at 5.02 TeV. Statistical uncertainties are covered by the data points.

png pdf
Figure 2-b:
The event-averaged $ {p_{\mathrm {T}}} $ value ($ < {p_{\mathrm {T}}} >$) for positive- and negative-charged particles as a function of charge asymmetry (left) and the normalized $ < {p_{\mathrm {T}}} >$ difference, $( < {p_{\mathrm {T}}} >^{-} - < {p_{\mathrm {T}}} >^{+})/( < {p_{\mathrm {T}}} >^{-} + < {p_{\mathrm {T}}} >^{+})$, as a function of corrected event charge asymmetry (right) for multiplicity range 185 $ \leq {N_\mathrm {trk}^\mathrm {offline}} < $ 220 in PbPb collisions at 5.02 TeV. Statistical uncertainties are covered by the data points.

png pdf
Figure 3:
The linear slope for $v_2$ (left) and $ < {p_{\mathrm {T}}} >$ (right) parameters $r^{\rm norm}_{2}$ and $r^{\rm norm}_{ < {p_{\mathrm {T}}} >}$ as a function of event multiplicity in pPb and PbPb collisions at $ \sqrt{ s_{\text{NN}} } = $ 5.02 TeV. Statistical and systematic uncertainties are indicated by the error bars and shaded regions, respectively.

png pdf
Figure 3-a:
The linear slope for $v_2$ parameter $r^{\rm norm}_{2}$ as a function of event multiplicity in pPb and PbPb collisions at $ \sqrt{ s_{\text{NN}} } = $ 5.02 TeV. Statistical and systematic uncertainties are indicated by the error bars and shaded regions, respectively.

png pdf
Figure 3-b:
The linear slope for $ < {p_{\mathrm {T}}} >$ parameter $r^{\rm norm}_{ < {p_{\mathrm {T}}} >}$ as a function of event multiplicity in pPb and PbPb collisions at $ \sqrt{ s_{\text{NN}} } = $ 5.02 TeV. Statistical and systematic uncertainties are indicated by the error bars and shaded regions, respectively.

png pdf
Figure 4:
The triangular flow $v_3$ for positive- and negative-charged particles (left) and the normalized difference in $v_{n}$, $(v^{-}_{n} - v^{+}_{n})/(v^{-}_{n} + v^{+}_{n})$, for $n=$ 2 and $n=$ 3 (right) as a function of corrected event charge asymmetry for 30-40% centrality of PbPb collisions at $ \sqrt{ s_{\text{NN}} } = $ 5.02 TeV. Statistical uncertainties are covered by the data points.

png pdf
Figure 5:
The linear slope ($r^{\rm norm}_{n}$) parameter for elliptic ($n=$ 2) and triangular ($n=$ 3) flow as a function of centrality for PbPb collisions at $ \sqrt{ s_{\text{NN}} } = $ 5.02 TeV. Statistical and systematic uncertainties are indicated by the error bars and shaded regions, respectively.
Summary
The charged-dependent elliptic flow coefficients ($v_{2}$) in pPb and both $v_{2}$ and triangular flow coefficients ($v_{3}$) in PbPb have been measured as a function of event-charged asymmetry at $ \sqrt{ s_{\text{NN}} } = $ 5.02 TeV. The normalized slope parameters of $v_{2}$ in pPb and PbPb collisions are found to be similar at the same event-charged particle multiplicities. Moreover, the normalized slope parameters of the $v_{2}$ and $v_{3}$ coefficients show similar magnitudes in various centralities. These observations would not be expected if the charge dependence resulted from a Chiral Magnetic Wave mechanism. The data are qualitatively consistent with predictions from the local charge conservation mechanism.
References
1 T. D. Lee A Theory of Spontaneous T Violation PRD8 (1973) 1226--1239, .[,516(1973)]
2 T. D. Lee and G. C. Wick Vacuum Stability and Vacuum Excitation in a Spin 0 Field Theory PRD9 (1974) 2291--2316
3 P. D. Morley and I. A. Schmidt Strong P, CP, T violations in heavy-ion collisions Zeitschrift f\"ur Physik C Particles and Fields 26 (1985) 627
4 D. Kharzeev, R. D. Pisarski, and M. H. G. Tytgat Possibility of Spontaneous Parity Violation in Hot QCD PRL 81 (1998) 512 hep-ph/9804221
5 D. Kharzeev Parity violation in hot QCD: Why it can happen, and how to look for it PLB 633 (2006) 260 hep-ph/0406125
6 D. E. Kharzeev, L. D. McLerran, and H. J. Warringa The Effects of topological charge change in heavy ion collisions: 'Event by event P and CP violation' Nucl. Phys. A 803 (2008) 227--253 0711.0950
7 D. E. Kharzeev, J. Liao, S. A. Voloshin, and G. Wang Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report Prog. Part. Nucl. Phys. 88 (2016) 1--28 1511.04050
8 Y. Burnier, D. E. Kharzeev, J. Liao, and H.-U. Yee Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions PRL 107 (2011) 052303 1103.1307
9 G. M. Newman Anomalous hydrodynamics JHEP 01 (2006) 158 hep-ph/0511236
10 E. V. Gorbar, V. A. Miransky, and I. A. Shovkovy Normal ground state of dense relativistic matter in a magnetic field PRD 83 (2011) 085003 1101.4954
11 ALICE Collaboration Charge separation relative to the reaction plane in Pb-Pb collisions at $ \sqrt{s_{\rm NN}}= $ 2.76 TeV PRL 110 (2013) 012301 1207.0900
12 STAR Collaboration Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions PRL 114 (2015) 252302 1504.02175
13 ALICE Collaboration Charge-dependent flow and the search for the chiral magnetic wave in Pb-Pb collisions at $ \sqrt{s_{\rm NN}} = $ 2.76 TeV PRC 93 (2016) 044903 1512.05739
14 A. Bzdak and P. Bozek Contributions to the event-by-event charge asymmetry dependence for the elliptic flow of $ pi^{+} $ and $ pi^{-} $ in heavy-ion collisions PLB 726 (2013) 239 1303.1138
15 CMS Collaboration Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC JHEP 09 (2010) 091 CMS-QCD-10-002
1009.4122
16 ATLAS Collaboration Observation of Long-Range Elliptic Azimuthal Anisotropies in $ \sqrt{s} = $ 13 and 2.76 TeV pp Collisions with the ATLAS Detector PRL 116 (2016) 172301 1509.04776
17 CMS Collaboration Measurement of Long-Range Near-Side Two-Particle Angular Correlations in pp collisions at $ \sqrt{s} = $ 13 TeV PRL 116 (2016) 172302 CMS-FSQ-15-002
1510.03068
18 CMS Collaboration Evidence for collectivity in pp collisions at the LHC Submitted to PLB CMS-HIN-16-010
1606.06198
19 CMS Collaboration Observation of long-range near-side angular correlations in proton-lead collisions at the LHC PLB 718 (2013) 795 CMS-HIN-12-015
1210.5482
20 ALICE Collaboration Long-range angular correlations on the near and away side in pPb collisions at $ \sqrt{s_{\rm NN}} = $ 5.02 TeV PLB 719 (2013) 29 1212.2001
21 ATLAS Collaboration Observation of associated near-side and away-side long-range correlations in $ \sqrt{s_{\rm NN}} = $ 5.02 TeV proton-lead collisions with the ATLAS detector PRL 110 (2013) 182302 1212.5198
22 LHCb Collaboration Measurements of long-range near-side angular correlations in $ \sqrt{s_{\rm NN}}= $ 5 TeV proton-lead collisions in the forward region 1512.00439
23 CMS Collaboration Long-range two-particle correlations of strange hadrons with charged particles in pPb and PbPb collisions at LHC energies PLB 742 (2015) 200 CMS-HIN-14-002
1409.3392
24 ALICE Collaboration Long-range angular correlations of $ \pi $, K and p in p--Pb collisions at $ \sqrt{s_{\rm NN}} = $ 5.02 TeV PLB 726 (2013) 164 1307.3237
25 CMS Collaboration Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and $PbPb collisions PLB 724 (2013) 213 CMS-HIN-13-002
1305.0609
26 ATLAS Collaboration Measurement of long-range pseudorapidity correlations and azimuthal harmonics in $ \sqrt{s_{\rm NN}} = $ 5.02 TeV proton-lead collisions with the ATLAS detector PRC 90 (2014) 044906 1409.1792
27 CMS Collaboration Evidence for Collective Multiparticle Correlations in p-Pb Collisions PRL 115 (2015) 012301 CMS-HIN-14-006
1502.05382
28 K. Dusling, W. Li, and B. Schenke Novel collective phenomena in high-energy proton-proton and proton-nucleus collisions Int. J. Mod. Phys. E 25 (2016) 1630002 1509.07939
29 CMS Collaboration Observation of charge-dependent azimuthal correlations in pPb collisions and its implication for the search for the chiral magnetic effect CMS-HIN-16-009
1610.00263
30 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
31 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
32 T. Pierog et al. EPOS LHC : test of collective hadronization with LHC data 1306.0121
33 M. Gyulassy and X.-N. Wang HIJING 1.0: A Monte Carlo program for parton and particle production in high-energy hadronic and nuclear collisions CPC 83 (1994) 307 nucl-th/9502021
34 I. P. Lokhtin et al. Heavy ion event generator HYDJET++ (HYDrodynamics plus JETs) CPC 180 (2009) 779 0809.2708
35 A. Bilandzic, R. Snellings, and S. Voloshin Flow analysis with cumulants: Direct calculations Phys.Rev. C83 (2011) 044913 1010.0233
Compact Muon Solenoid
LHC, CERN