CMS-HIN-15-014 ; CERN-EP-2017-001 | ||
Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeV/c in PbPb collisions at √sNN= 5.02 TeV | ||
CMS Collaboration | ||
2 February 2017 | ||
Phys. Lett. B 776 (2017) 195 | ||
Abstract: The Fourier coefficients v2 and v3 characterizing the anisotropy of the azimuthal distribution of charged particles produced in PbPb collisions at √sNN= 5.02 TeV are measured with data collected by the CMS experiment. The measurements cover a broad transverse momentum range, pT= 1-100 GeV/c. The analysis focuses on pT> 10 GeV/c range, where anisotropic azimuthal distributions should reflect the path-length dependence of parton energy loss in the created medium. Results are presented in several bins of PbPb collision centrality, spanning the 60% most central events. The v2 coefficient is measured with the scalar product and the multiparticle cumulant methods, which have different sensitivities to the initial-state fluctuations. The values of both methods remain positive up to pT≈ 70 GeV/c, in all examined centrality classes. The v3 coefficient, only measured with the scalar product method, tends to zero for pT≳ 20 GeV/c. Comparisons between theoretical calculations and data provide new constraints on the path-length dependence of parton energy loss in heavy ion collisions and highlight the importance of the initial-state fluctuations. | ||
Links: e-print arXiv:1702.00630 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; |
Figures | |
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Figure 1:
The v_2 and v_3 results from the SP method as a function of {p_{\mathrm {T}}} , in seven collision centrality ranges from 0-5% to 50-60%. The vertical bars (shaded boxes) represent the statistical (systematic) uncertainties. The curves represent calculations made with the CUJET3.0 [38] and the SHEE models [23] (see text). |
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Figure 2:
Comparison between the v_2 results from the SP and the 4-, 6-, and 8-particle cumulant methods, as a function of {p_{\mathrm {T}}} , in six centrality ranges from 0-5% to 50-60%. The vertical bars (shaded boxes) represent the statistical (systematic) uncertainties. |
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Figure 3:
Correlation between the high- {p_{\mathrm {T}}} v_{2} measured in the 14-20 (left), 20-26 (middle), and 26-35 GeV/c (right) {p_{\mathrm {T}}} ranges and the low- {p_{\mathrm {T}}} v_{2} measured in the 1 < {p_{\mathrm {T}}} < 1.25 GeV/c range, with the SP (closed circles) and cumulant (open squares) methods. |
Summary |
The azimuthal anisotropy of charged particles produced in PbPb collisions at \sqrt{ s_{\mathrm{NN}} } = 5.02 TeV has been studied using data collected by the CMS experiment. The v_2 and v_3 coefficients are determined, as a function of collision centrality, over the widest transverse momentum range studied to date (from 1 up to 100 GeV/c). For the first time, the multiparticle cumulant method is used for p_{\mathrm{T}} > 20 GeV/c. Over the measured centrality range, positive v_2 values are found up to p_{\mathrm{T}} \approx 70 GeV/c, while the v_3 values are consistent with zero for p_{\mathrm{T}} > 20 GeV/c. For p_{\mathrm{T}} < 3 GeV/c, v_{2}\{\mathrm{SP}\} > v_{2}\{4\} \approx v_{2}\{6\} \approx v_{2}\{8\}, consistent with a collective behavior arising from the hydrodynamic expansion of a quark-gluon plasma. The similarity of v_{2}\{4\}, v_{2}\{6\}, and v_{2}\{8\} at high p_{\mathrm{T}} suggests that v_{2} originates from the path-length dependence of parton energy loss associated with an asymmetric initial collision geometry. In addition, a common trend in the centrality dependence of v_{2} is observed over the full p_{\mathrm{T}} range, further supporting a common connection to the initial-state geometry. A model calculation (SHEE) incorporating initial-state fluctuations with a linear path-length dependence of parton energy loss is found to be in good agreement with the data, over the wide p_{\mathrm{T}} and centrality ranges probed in this analysis. |
References | ||||
1 | 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 | nucl-ex/0410003 |
2 | 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 | nucl-ex/0501009 |
3 | BRAHMS Collaboration | Quark gluon plasma and color glass condensate at RHIC? The perspective from the BRAHMS experiment | NP A 757 (2005) 1 | nucl-ex/0410020 |
4 | PHOBOS Collaboration | The PHOBOS perspective on discoveries at RHIC | NP A 757 (2005) 28 | nucl-ex/0410022 |
5 | ATLAS Collaboration | Observation of a centrality-dependent dijet asymmetry in Pb-Pb collisions at \sqrtsNN = 2.76 TeV with the ATLAS detector at the LHC | PRL 105 (2010) 252303 | 1011.6182 |
6 | CMS Collaboration | Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV | PRC 84 (2011) 024906 | CMS-HIN-10-004 1102.1957 |
7 | ALICE Collaboration | Suppression of charged particle production at large transverse momentum in central Pb-Pb collisions at \sqrtsNN = 2.76 TeV | PLB 696 (2011) 30 | 1012.1004 |
8 | CMS Collaboration | Study of high- p_{\rm T} charged particle suppression in PbPb compared to pp collisions at \sqrtsNN\ = 2.76 TeV | EPJC 72 (2012) 1945 | CMS-HIN-10-005 1202.2554 |
9 | ATLAS Collaboration | Measurement of charged-particle spectra in Pb+Pb collisions at \sqrtsNN\ = 2.76 TeV with the ATLAS detector at the LHC | JHEP 09 (2015) 050 | 1504.04337 |
10 | CMS Collaboration | Charged-particle nuclear modification factors in PbPb and pPb collisions at \sqrtsNN\ = 5.02 TeV | CMS-HIN-15-015 1611.01664 |
|
11 | BRAHMS Collaboration | Transverse momentum spectra in Au+Au and d +Au collisions at \sqrtsNN = 200 GeV and the pseudorapidity dependence of high {p_{\mathrm{T}}} suppression | PRL 91 (2003) 072305 | nucl-ex/0307003 |
12 | PHENIX Collaboration | Suppression of hadrons with large transverse momentum in central Au+Au collisions at \sqrtsNN = 130 GeV | PRL 88 (2002) 022301 | nucl-ex/0109003 |
13 | PHENIX Collaboration | Suppressed \pi^0 production at large transverse momentum in central Au+Au collisions at \sqrtsNN = 200 GeV | PRL 91 (2003) 072301 | nucl-ex/0304022 |
14 | PHOBOS Collaboration | Charged hadron transverse momentum distributions in Au+Au collisions at \sqrtsNN\ = 200 GeV | PLB 578 (2004) 297 | nucl-ex/0302015 |
15 | STAR Collaboration | Centrality dependence of high p_\mathrm{T} hadron suppression in Au+Au collisions at \sqrtsNN = 130 GeV | PRL 89 (2002) 202301 | nucl-ex/0206011 |
16 | STAR Collaboration | Transverse momentum and collision energy dependence of high- p_{\rm T} hadron suppression in Au+Au collisions at ultrarelativistic energies | PRL 91 (2003) 172302 | nucl-ex/0305015 |
17 | A. M. Poskanzer and S. A. Voloshin | Methods for analyzing anisotropic flow in relativistic nuclear collisions | PRC 58 (1998) 1671 | nucl-ex/9805001 |
18 | PHENIX Collaboration | Azimuthal anisotropy of \pi^0 production in Au+Au collisions at \sqrtsNN = 200 GeV: Path-length dependence of jet quenching and the role of initial geometry | PRL 105 (2010) 142301 | 1006.3740 |
19 | CMS Collaboration | Azimuthal anisotropy of charged particles at high transverse momenta in PbPb collisions at \sqrtsNN = 2.76 TeV | PRL 109 (2012) 022301 | CMS-HIN-11-012 1204.1850 |
20 | ATLAS Collaboration | Measurement of flow harmonics with multi-particle cumulants in Pb+Pb collisions at \sqrtsNN\ = 2.76 TeV with the ATLAS detector | EPJC 74 (2014) 3157 | 1408.4342 |
21 | ALICE Collaboration | Anisotropic flow of charged particles in Pb-Pb collisions at \sqrt{s_{\rm NN}}= 5.02 TeV | PRL 116 (2016) 132302 | 1602.01119 |
22 | D. Molnar and M. Gyulassy | Saturation of elliptic flow and the transport opacity of the gluon plasma at RHIC | NP A 697 (2002) 495 | nucl-th/0104073 |
23 | J. Noronha, M. Gyulassy, and G. Torrieri | Conformal holography of bulk elliptic flow and heavy quark quenching in relativistic heavy ion collisions | PRC 82 (2010) 054903 | 1009.2286 |
24 | B. Betz and M. Gyulassy | Constraints on the path-length dependence of jet quenching in nuclear collisions at RHIC and LHC | JHEP 08 (2014) 090 | 1404.6378 |
25 | J. Noronha-Hostler, B. Betz, J. Noronha, and M. Gyulassy | Event-by-event hydrodynamics + jet energy loss: A solution to the R_{AA} \otimes v_2 puzzle | PRL 116 (2016) 252301 | 1602.03788 |
26 | B. Betz et al. | Cumulants and nonlinear response of high p_T harmonic flow at \sqrt{s_{NN}}= 5.02 TeV | PRC 95 (2017) 044901 | 1609.05171 |
27 | B. Alver and G. Roland | Collision geometry fluctuations and triangular flow in heavy-ion collisions | PRC 81 (2010) 054905 | 1003.0194 |
28 | STAR Collaboration | Elliptic flow from two and four particle correlations in Au+Au collisions at \sqrtsNN\ = ~130 GeV | PRC 66 (2002) 034904 | nucl-ex/0206001 |
29 | M. Luzum and J.-Y. Ollitrault | Eliminating experimental bias in anisotropic-flow measurements of high-energy nuclear collisions | PRC 87 (2013) 044907 | 1209.2323 |
30 | A. Bilandzic, R. Snellings, and S. Voloshin | Flow analysis with cumulants: Direct calculations | PRC 83 (2011) 044913 | 1010.0233 |
31 | 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 |
32 | CMS Collaboration | The CMS experiment at the CERN LHC | JINST 3 (2008) S08004 | CMS-00-001 |
33 | Geant4 Collaboration | Geant4 --- a simulation toolkit | NIMA 506 (2003) 250 | |
34 | M. L. Miller, K. Reygers, S. J. Sanders, and P. Steinberg | Glauber modeling in high energy nuclear collisions | Ann. Rev. Nucl. Part. Sci. 57 (2007) 205 | nucl-ex/0701025 |
35 | CMS Collaboration | Measurement of transverse momentum relative to dijet systems in PbPb and pp collisions at \sqrtsNN\ = 2.76 TeV | JHEP 01 (2016) 006 | CMS-HIN-14-010 1509.09029 |
36 | I. P. Lokhtin and A. M. Snigirev | A model of jet quenching in ultrarelativistic heavy ion collisions and high- {p_{\mathrm{T}}}\ hadron spectra at RHIC | EPJC 45 (2006) 211 | hep-ph/0506189 |
37 | T. Sjostrand, S. Mrenna, and P. Z. Skands | A brief introduction to PYTHIA 8.1 | CPC 178 (2008) 852 | 0710.3820 |
38 | S. Voloshin and Y. Zhang | Flow study in relativistic nuclear collisions by Fourier expansion of azimuthal particle distributions | Z. Phys. C. 70 (1996) 665 | hep-ph/9407282 |
39 | E877 Collaboration | Proton and pion production relative to the reaction plane in Au+Au collisions at AGS energies | PRC 56 (1997) 3254 | nucl-ex/9707002 |
40 | CMS Collaboration | Evidence for transverse momentum and pseudorapidity dependent event plane fluctuations in PbPb and pPb collisions | PRC 92 (2015) 034911 | CMS-HIN-14-012 1503.01692 |
41 | A. Bilandzic et al. | Generic framework for anisotropic flow analyses with multiparticle azimuthal correlations | PRC 89 (2014) 064904 | 1312.3572 |
42 | CMS Collaboration | Evidence for collective multiparticle correlations in p-Pb collisions | PRL 115 (2015) 012301 | CMS-HIN-14-006 1502.05382 |
43 | N. Borghini, P. M. Dinh, and J.-Y. Ollitrault | Flow analysis from multiparticle azimuthal correlations | PRC 64 (2001) 054901 | nucl-th/0105040 |
44 | 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 |
45 | J. Noronha-Hostler et al. | Bulk viscosity effects in event-by-event relativistic hydrodynamics | PRC 88 (2013) 044916 | 1305.1981 |
46 | J. Noronha-Hostler, J. Noronha, and F. Grassi | Bulk viscosity-driven suppression of shear viscosity effects on the flow harmonics at energies available at the BNL Relativistic Heavy Ion Collider | PRC 90 (2014) 034907 | 1406.3333 |
47 | B. Betz, M. Gyulassy, and G. Torrieri | Fourier harmonics of high- p_{\rm T} particles probing the fluctuating intitial condition geometries in heavy-ion collisions | PRC 84 (2011) 024913 | 1102.5416 |
48 | B. Betz and M. Gyulassy | Examining a reduced jet-medium coupling in Pb+Pb collisions at the Large Hadron Collider | PRC 86 (2012) 024903 | 1201.0281 |
49 | S. S. Gubser, D. R. Gulotta, S. S. Pufu, and F. D. Rocha | Gluon energy loss in the gauge-string duality | JHEP 10 (2008) 052 | 0803.1470 |
50 | F. Dominguez et al. | Comparing energy loss and p_{\perp} -broadening in perturbative QCD with strong coupling N = 4 SYM theory | NP A 811 (2008) 197 | 0803.3234 |
51 | L. Yan, J.-Y. Ollitrault, and A. M. Poskanzer | Azimuthal anisotropy distributions in high-energy collisions | PLB 742 (2015) 290 | 1408.0921 |
52 | S. A. Voloshin, A. M. Poskanzer, A. Tang, and G. Wang | Elliptic flow in the Gaussian model of eccentricity fluctuations | PLB. 659 (2008) 537 | 0708.0800 |
53 | 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 |
54 | ALICE Collaboration | Searches for transverse momentum dependent flow vector fluctuations in Pb-Pb and p-Pb collisions at the LHC | Submitted to JHEP | 1707.05690 |
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Compact Muon Solenoid LHC, CERN |
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