CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-HIN-17-004 ; CERN-EP-2019-075
Multiparticle correlation studies in pPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ = 8.16 TeV
Phys. Rev. C 101 (2020) 014912
Abstract: The second- and third-order azimuthal anisotropy Fourier harmonics of charged particles produced in pPb collisions, at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 8.16 TeV, are studied over a wide range of event multiplicities. Multiparticle correlations are used to isolate global properties stemming from the collision overlap geometry. The second-order "elliptic'' harmonic moment is obtained with high precision through four-, six-, and eight-particle correlations and, for the first time, the third-order "triangular'' harmonic moment is studied using four-particle correlations. A sample of peripheral PbPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV that covers a similar range of event multiplicities as the pPb results is also analyzed. Model calculations of initial-state fluctuations in pPb and PbPb collisions can be directly compared to the high precision experimental results. This work provides new insight into the fluctuation-driven origin of the $v_3$ coefficients in pPb and PbPb collisions, and into the dominating overall collision geometry in PbPb collisions at the earliest stages of heavy ion interactions.
Figures Summary References CMS Publications
Figures

png pdf
Figure 1:
The multiparticle $v_2\{4,6,8\}$ and $v_3\{4\}$ harmonics are shown for pPb 8.16 TeV (left) and PbPb 5.02 TeV (right) as a function of ${N_\text {trk}^\text {offline}}$. Two-particle results $v_2^{\text {sub}}\{2\}({<} \Delta \eta {>} > 2)$ and $v_3^{\text {sub}}\{2\}({<} \Delta \eta {>} > 2)$ are from Ref. [47]. Error bars and shaded boxes denote statistical and systematic uncertainties, respectively. The shaded area shows the hydrodynamic prediction of $v_3\{4\}$ in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV [53].

png pdf
Figure 2:
The ratios of four- and two-particle harmonics ($v_2\{4\}/v_2\{2\}$ and $v_3\{4\}/v_3\{2\}$) are shown for pPb $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 8.16 TeV (left) and PbPb $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV (right) as a function of ${N_\text {trk}^\text {offline}}$. Error bars and shaded boxes denote statistical and systematic uncertainties, respectively. The dashed curves show a hydrodynamics-motivated initial-state fluctuation calculation of eccentricities $\varepsilon _{n}\{m\}$ for pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV [42].

png pdf
Figure 3:
Cumulant ratios $v_2\{6\}/v_2\{4\}$ (upper) and $v_2\{8\}/v_2\{6\}$ (lower) as a function of $v_2\{4\}/v^{\text {sub}}_2\{2\}$ in pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV and 8.16 TeV. Error bars and shaded areas denote statistical and systematic uncertainties, respectively. The solid curves show the expected behavior based on a hydrodynamics-motivated study of the role of initial-state fluctuations [40].
Summary
In summary, the azimuthal anisotropy for pPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 8.16 TeV and PbPb collisions at ${\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV are studied as functions of the final-state particle multiplicities with the CMS experiment. The $v_2$ Fourier coefficient is determined using cumulants obtained with four-, six-, and eight-particle correlations with greatly increased precision compared to previous measurements. The higher-order $v_3\{4\}$ coefficient is reported for the first time for a small system. For pPb collisions, the ratios $v_2\{4\}/v_2\{2\}$ and $v_3\{4\}/v_3\{2\}$ are comparable, consistent with a purely fluctuation-driven origin for the azimuthal asymmetry. Both the pPb and PbPb systems have very similar $v_3$ coefficients for the cumulant orders studied, indicating a similar, fluctuation-driven initial-state geometry. In contrast, both the magnitude of the $v_2$ coefficients and the $v_2\{4\}/v_2\{2\}$ ratio is larger for PbPb collisions, as expected if the overall collision geometry dominates. The $v_2$ cumulant ratios for pPb collisions are consistent with a collective flow behavior that originates from and is proportional to the initial-state anisotropy.
References
1 PHOBOS Collaboration System size dependence of cluster properties from two-particle angular correlations in Cu+Cu and Au+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 200 GeV PRC 81 (2010) 024904 0812.1172
2 STAR Collaboration Distributions of charged hadrons associated with high transverse momentum particles in pp and Au+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 200 GeV PRL 95 (2005) 152301 nucl-ex/0501016
3 STAR Collaboration Long range rapidity correlations and jet production in high energy nuclear collisions PRC 80 (2009) 064912 0909.0191
4 PHOBOS Collaboration High transverse momentum triggered correlations over a large pseudorapidity acceptance in Au+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 200 GeV PRL 104 (2010) 062301 0903.2811
5 CMS Collaboration Long-range and short-range dihadron angular correlations in central PbPb collisions at a nucleon-nucleon center of mass energy of 2.76 TeV JHEP 07 (2011) 076 CMS-HIN-11-001
1105.2438
6 CMS Collaboration Centrality dependence of dihadron correlations and azimuthal anisotropy harmonics in PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV EPJC 72 (2012) 2012 CMS-HIN-11-006
1201.3158
7 ALICE Collaboration Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV PRL 105 (2010) 252302 1011.3914
8 ATLAS Collaboration Measurement of the azimuthal anisotropy for charged particle production in $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV lead-lead collisions with the ATLAS detector PRC 86 (2012) 014907 1203.3087
9 CMS Collaboration Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV PRC 87 (2013) 014902 CMS-HIN-10-002
1204.1409
10 W. Busza, K. Rajagopal, and W. van der Schee Heavy ion collisions: the big picture, and the big questions Ann. Rev. Nucl. Part. Sci. 68 (2018) 339 1802.04801
11 B. H. Alver, C. Gombeaud, M. Luzum, and J.-Y. Ollitrault Triangular flow in hydrodynamics and transport theory PRC 82 (2010) 034913 1007.5469
12 B. Schenke, S. Jeon, and C. Gale Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics PRL 106 (2011) 042301 1009.3244
13 Z. Qiu, C. Shen, and U. Heinz Hydrodynamic elliptic and triangular flow in Pb-Pb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 ATeV PLB 707 (2012) 151 1110.3033
14 B. Alver and G. Roland Collision geometry fluctuations and triangular flow in heavy-ion collisions PRC 81 (2010) 054905 1003.0194
15 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
16 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
17 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
18 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
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 {\smash [b]{s_{_{\mathrm {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 {\smash [b]{s_{_{\mathrm {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_{\text{NN}}} = $ 5 TeV proton-lead collisions in the forward region PLB 762 (2016) 473 1512.00439
23 PHENIX Collaboration Measurements of multiparticle correlations in dAu collisions at 200, 62.4, 39, and 19.6 GeV and pAu collisions at 200 GeV and implications for collective behavior PRL 120 (2018) 062302 1707.06108
24 PHENIX Collaboration Measurement of long-range angular correlations and azimuthal anisotropies in high-multiplicity p+Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 200 GeV PRC 95 (2017) 034910 1609.02894
25 PHENIX Collaboration Measurements of elliptic and triangular flow in high-multiplicity $ ^{3} $He + Au collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}}= $ 200 GeV PRL 115 (2015) 142301 1507.06273
26 PHENIX Collaboration Creation of quark-gluon plasma droplets with three distinct geometries NP 15 (2019) 214 1805.02973
27 J. L. Nagle and W. A. Zajc Small system collectivity in relativistic hadronic and nuclear collisions Ann. Rev. Nucl. Part. Sci. 68 (2018) 211 1801.03477
28 B. Schenke and R. Venugopalan Eccentric protons? Sensitivity of flow to system size and shape in p+p, p+Pb and Pb+Pb collisions PRL 113 (2014) 102301 1405.3605
29 P. Bozek Collective flow in p-Pb and d-Pd collisions at TeV energies PRC 85 (2012) 014911 1112.0915
30 P. Bozek and W. Broniowski Correlations from hydrodynamic flow in p-Pb collisions PLB 718 (2013) 1557 1211.0845
31 K. Dusling and R. Venugopalan Explanation of systematics of CMS p+Pb high multiplicity di-hadron data at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV PRD 87 (2013) 054014 1211.3701
32 K. Dusling, M. Mace, and R. Venugopalan Multiparticle collectivity from initial state correlations in high energy proton-nucleus collisions PRL 120 (2018) 042002 1705.00745
33 K. Dusling, M. Mace, and R. Venugopalan Parton model description of multiparticle azimuthal correlations in $ pA $ collisions PRD 97 (2018) 016014 1706.06260
34 N. Borghini, P. M. Dinh, and J.-Y. Ollitrault A new method for measuring azimuthal distributions in nucleus-nucleus collisions PRC 63 (2001) 054906 nucl-th/0007063
35 CMS Collaboration Evidence for collectivity in pp collisions at the LHC PLB 765 (2017) 193 CMS-HIN-16-010
1606.06198
36 CMS Collaboration Evidence for collective multiparticle correlations in p-Pb collisions PRL 115 (2015) 012301 CMS-HIN-14-006
1502.05382
37 CMS Collaboration Measurement of higher-order harmonic azimuthal anisotropy in PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 2.76 TeV PRC 89 (2014) 044906 CMS-HIN-11-005
1310.8651
38 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
39 A. Bilandzic, R. Snellings, and S. Voloshin Flow analysis with cumulants: Direct calculations PRC 83 (2011) 044913 1010.0233
40 L. Yan and J.-Y. Ollitrault Universal fluctuation-driven eccentricities in proton-proton, proton-nucleus and nucleus-nucleus collisions PRL 112 (2014) 082301 1312.6555
41 U. Heinz and R. Snellings Collective flow and viscosity in relativistic heavy-ion collisions Ann. Rev. Nucl. Part. Sci. 63 (2013) 123 1301.2826
42 G. Giacalone, J. Noronha-Hostler, and J.-Y. Ollitrault Relative flow fluctuations as a probe of initial state fluctuations PRC 95 (2017) 054910 1702.01730
43 J.-Y. Ollitrault, A. M. Poskanzer, and S. A. Voloshin Effect of flow fluctuations and nonflow on elliptic flow methods PRC 80 (2009) 014904 0904.2315
44 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
45 GEANT4 Collaboration GEANT4--a simulation toolkit NIMA 506 (2003) 250
46 CMS Collaboration CMS luminosity measurement using 2016 proton-nucleus collisions at nucleon-nucleon center-of-mass energy of 8.16 TeV CMS-PAS-LUM-17-002 CMS-PAS-LUM-17-002
47 CMS Collaboration Observation of correlated azimuthal anisotropy fourier harmonics in pp and p+Pb collisions at the LHC PRL 120 (2018) 092301 CMS-HIN-16-022
1709.09189
48 CMS Collaboration The CMS trigger system JINST 12 (2017) 01020 CMS-TRG-12-001
1609.02366
49 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
50 A. Bilandzic et al. Generic framework for anisotropic flow analyses with multi-particle azimuthal correlations PRC 89 (2014) 064904 1312.3572
51 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
52 CMS Collaboration Pseudorapidity and transverse momentum dependence of flow harmonics in pPb and PbPb collisions PRC 98 (2018) 044902 CMS-HIN-15-008
1710.07864
53 I. Kozlov et al. Transverse momentum structure of pair correlations as a signature of collective behavior in small collision systems 1405.3976
54 J. E. Bernhard et al. Applying Bayesian parameter estimation to relativistic heavy-ion collisions: simultaneous characterization of the initial state and quark-gluon plasma medium PRC 94 (2016) 024907 1605.03954
55 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
Compact Muon Solenoid
LHC, CERN