CMS-PAS-HIN-15-014 | ||
High-$p_\mathrm{T}$ track $v_{n}$ harmonics in PbPb collisions at 5.02 TeV | ||
CMS Collaboration | ||
May 2016 | ||
Abstract: The Fourier coefficients (n = 2, 3) of the azimuthal distributions of charged particles produced in PbPb collisions at $\sqrt{s_{NN}} =$ 5.02 TeV is measured with the CMS detector at the LHC over an extended transverse momentum ($p_\mathrm{T}$) range up to approximately 100 GeV/$c$. The data cover both the low-$p_\mathrm{T}$ region (1 $ < p_\mathrm{T} <$ 3 GeV/$c$) associated with hydrodynamic flow phenomena and the high-$p_\mathrm{T}$ region where anisotropic azimuthal distributions may reflect the path-length dependence of parton energy loss in the created medium. Several methods were used to extract the Fourier coefficients, such as the scalar product method that correlating charged tracks with the energy deposited in the hadronic forward calorimeters, or multi-particle cumulant method. For the seven bins of collision centrality studied, spanning the range of 0-60% most-central events, the observed $v_{2}$ values are found to first increase with $p_\mathrm{T}$, reaching a maximum around $p_\mathrm{T} =$ 3 GeV/$c$ and then to gradually decrease. In the most central (0-5%) events, non-zero $v_{2}$ is observed above $\approx$ 30 GeV/$c$ and it is found to be constant as function of $p_\mathrm{T}$. | ||
Links:
CDS record (PDF) ;
inSPIRE record ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, PLB 776 (2017) 195. The superseded preliminary plots can be found here. |
Figures | |
png pdf |
Figure 1:
The $v_2$ and $v_3$ results from SP method as a function of ${p_{\mathrm {T}}} $ in seven centrality ranges of PbPb collisions at ${\sqrt {s_{_{\text {NN}}}}} =$ 5.02 TeV. Shaded boxes represent systematic uncertainties. |
png pdf |
Figure 2:
The $v_2$ results from SP and EP method as a function of ${p_{\mathrm {T}}} $ in seven centrality ranges of PbPb collisions at ${\sqrt {s_{_{\text {NN}}}}} =$ 5.02 TeV and 2.76 TeV respectively. Shaded boxes represent systematic uncertainties and dashed lines are predictions from CUJET3.0 model [26,27]. |
png pdf |
Figure 3:
Comparison between the $v_2$ results from SP and cumulant methods as a function of ${p_{\mathrm {T}}} $ in six centrality ranges of PbPb collisions at ${\sqrt {s_{_{\text {NN}}}}} =$ 5.02 TeV. Shaded boxes represent systematic uncertainties. |
png pdf |
Figure 4:
The $v_{2}$ values from different centrality ranges at high ${p_{\mathrm {T}}}$ : 12 $< {p_{\mathrm {T}}} <$ 14 GeV/$c$, 20 $< {p_{\mathrm {T}}} <$ 26 GeV/$c$ and 26 $< {p_{\mathrm {T}}} <$ 35 GeV/$c$ vs. low ${p_{\mathrm {T}}} $ (1 $ < {p_{\mathrm {T}}} < $ 1.25 GeV/$c$) obtained from SP (closed circles) and cumulant (open squares) methods in PbPb collisions at ${\sqrt {s_{_{\text {NN}}}}} =$ 5.02 TeV. |
Tables | |
png pdf |
Table 1:
Sources of systematic uncertainties and range of uncertainties in percent. |
png pdf |
Table 2:
Total systematic uncertainties in percentage |
Summary |
In summary, the azimuthal anisotropy of charged particles with respect to the event plane has been studied in PbPb collisions at ${\sqrt {s_{_{\text {NN}}}}} =$ 5.02 TeV using the CMS detector. The $v_2$ and $v_3$ coefficients were determined over a wide range in $p_{\mathrm{T}}$ from 1 GeV/$c$ to approximately 100 GeV/$c$, as a function of collision centrality using scalar product method. The results reported in this paper significantly improve the statistical precision of previous $v_{2}$ measurements at lower energy for 12 $< p_{\mathrm{T}} <$ 60 GeV/$c$, and explore for the first time the very high $p_{\mathrm{T}}$ region beyond 60 GeV/$c$. Furthermore, these results provide a $v_{3}$ measurement up to a $p_{\mathrm{T}}$ region that has never before been studied (up to 100 GeV/$c$). The $v_2(p_{\mathrm{T}})$ behavior shows a trend of rapid rise to a maximum at $ p_{\mathrm{T}} \approx$ 3 GeV/$c$ and a subsequent fall for all centrality ranges. Beyond $ p_{\mathrm{T}}\approx$ 10 GeV/$c$, the observed $v_{2}$ values still show some $p_{\mathrm{T}}$ dependence but with a more moderate decrease with $p_{\mathrm{T}}$, remaining finite up very high $p_{\mathrm{T}}$. The $v_3(p_{\mathrm{T}})$ behavior is very similar to $v_{2}$ at low $p_{\mathrm{T}}$ but its value is consistent with zero over the full centrality range for $p_{\mathrm{T}} >$ 20 GeV/$c$. A common trend in the centrality dependence of $v_{2}$ is observed for particles over a wide range of $p_{\mathrm{T}}$, suggesting a potential connection to the initial-state geometry. To further investigate the origin of the correlation at high $p_{\mathrm{T}}$, a multi-particle correlation analysis was performed to extract $v_{2}$ from 1 GeV/$c$ to, at maximum, 100 GeV/$c$. At low $p_{\mathrm{T}}$, $v_{2}\{4\}$, $v_{2}\{6\}$ and $v_{2}\{8\}$ have similar values and smaller than $v_{2}\{SP\}$. This follows hydrodynamic expectations and is a sign of collectivity. The same behavior is observed at high $p_{\mathrm{T}}$ and reflects the collective nature of these correlations. Finally, we have investigated the correlations between $v_{2}$ values at low and high $p_{\mathrm{T}}$ as a function of centrality and they appeared to be strongly correlated. The low and high $p_{\mathrm{T}}$ correlations are respectively driven by the collective expansion and by the path lenght dependence of hard-scattered partons in the medium. These results indicate that the initial geometry and its fluctuations are responsible for both low and high $p_{\mathrm{T}}$ correlations. The precision data over a wide kinematic range presented here will provide important constraints on models of parton energy loss, particularly in terms of its dependence on the initial conditions, parton energy and path length through the medium. |
References | ||||
1 | BRAHMS Collaboration | Quark gluon plasma and color glass condensate at RHIC? The perspective from the BRAHMS experiment | Nucl. Phys. A 757 (2005) 1 | nucl-ex/0410020 |
2 | PHENIX Collaboration | Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration | Nucl. Phys. A 757 (2005) 184 | nucl-ex/0410003 |
3 | PHOBOS Collaboration | The PHOBOS perspective on discoveries at RHIC | Nucl. Phys. A 757 (2005) 28 | nucl-ex/0410022 |
4 | 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 | Nucl. Phys. A 757 (2005) 102 | nucl-ex/0501009 |
5 | ATLAS Collaboration | Observation of a Centrality-Dependent Dijet Asymmetry in Lead-Lead Collisions at $ \sqrt{s_{NN}} $ = 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 | A. Majumder and M. Van Leeuwen | The Theory and Phenomenology of Perturbative QCD Based Jet Quenching | Prog. Part. Nucl. Phys. A 66 (2011) 41 | 1002.2206 |
8 | J. Noronha-Hostler, B. Betz, J. Noronha, and M. Gyulassy | Soft-Hard Event Engineering in Ultrarelativistic Heavy Ion Collisions | 1602.03788 | |
9 | S. Peigne and A. V. Smilga | Energy losses in a hot plasma revisited | Phys. Usp. 52 (2009) 659 | 0810.5702 |
10 | S. Wicks et al. | Elastic, Inelastic, and Path Length Fluctuations in Jet Tomography | Nucl. Phys. A 784 (2007) 426 | nucl-th/0512076 |
11 | J. Jia and R. Wei | Dissecting the role of initial collision geometry for jet quenching observables in relativistic heavy ion collisions | PRC 82 (2010) 024902 | 1005.0645 |
12 | J. Jia, W. Horowitz, and J. Liao | A study of the correlations between jet quenching observables at RHIC | PRC 84 (2011) 034904 | 1101.0290 |
13 | T. Renk | Pathlength dependence of energy loss within in-medium showers | PRC 83 (2011) 024908 | 1010.4116 |
14 | B. Betz, M. Gyulassy, and G. Torrieri | Fourier Harmonics of High-pT Particles Probing the Fluctuating Intitial Condition Geometries in Heavy-Ion Collisions | PRC 84 (2011) 024913 | 1102.5416 |
15 | B. Betz and M. Gyulassy | Reduced Jet-Medium Coupling in Pb+Pb Collisions at the LHC? | 1201.0281 | |
16 | PHENIX Collaboration | Azimuthal anisotropy of neutral pion production in Au+Au collisions at $ \sqrt{s_{NN}} $ = 200~$ GeV $: Path-length dependence of jet quenching and the role of initial geometry | PRL 105 (2010) 142301 | 1006.3740 |
17 | M. Luzum and J.-Y. Ollitrault | Eliminating experimental bias in anisotropic-flow measurements of high-energy nuclear collisions | Phys.Rev. C87 (2013), no. 4, 044907 | 1209.2323 |
18 | CMS Collaboration | Azimuthal anisotropy of charged particles at high transverse momenta in PbPb collisions at $ \sqrt{s_{NN}}=2.76 $ TeV | PRL 109 (2012) 022301 | CMS-HIN-11-012 1204.1850 |
19 | S. A. et al. | Geant4 -- a simulation toolkit | Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 506 (2003), no. 3, 250 -- 303 | |
20 | CMS Collaboration | The CMS Experiment at the CERN LHC | JINST 03 (2008) S08004 | CMS-00-001 |
21 | A. M. Poskanzer and S. A. Voloshin | Methods for analyzing anisotropic flow in relativistic nuclear collisions | PRC 58 (1998) 1671 | nucl-ex/9805001 |
22 | E877 Collaboration | Proton and pion production relative to the reaction plane in Au + Au collisions at 11-A-GeV/c | PRC56 (1997) 3254--3264 | nucl-ex/9707002 |
23 | STAR Collaboration | Elliptic flow from two and four particle correlations in Au+Au collisions at s(NN)**(1/2) = 130-GeV | Phys.Rev. C66 (2002) 034904 | nucl-ex/0206001 |
24 | A. Bilandzic, R. Snellings, and S. Voloshin | Flow analysis with cumulants: Direct calculations | Phys.Rev. C83 (2011) 044913 | 1010.0233 |
25 | A. Bilandzic et al. | Generic framework for anisotropic flow analyses with multiparticle azimuthal correlations | Phys.Rev. C89 (2014), no. 6, 064904 | 1312.3572 |
26 | X. Jiechen, L. Jinfeng, and M. Gyulassy | Consistency of Perfect Fluidity and Jet Quenching in Semi-Quark-Gluon Monopole Plasmas | Chinese Physics Letters 32 (2015), no. 9, 092501 | |
27 | J. Xu, J. Liao, and M. Gyulassy | Bridging soft-hard transport properties of quark-gluon plasmas with CUJET3.0 | Journal of High Energy Physics 2016 (2016), no. 2, 1--50 |
Compact Muon Solenoid LHC, CERN |