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CMS-HIN-16-022 ; CERN-EP-2017-220
Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC
Phys. Rev. Lett. 120 (2018) 092301
Abstract: The azimuthal anisotropy Fourier coefficients ($v_n$) in 8.16 TeV pPb data are extracted via long-range two-particle correlations as a function of event multiplicity and compared to corresponding results in pp and PbPb collisions. Using a four-particle cumulant technique, $v_n$ correlations are measured for the first time in pp and pPb collisions. The $v_2$ and $v_4$ coefficients are found to be positively correlated in all collision systems. For high multiplicity pPb collisions an anticorrelation of $v_2$ and $v_3$ is observed, with a similar correlation strength as in PbPb data at the same multiplicity. The new correlation results strengthen the case for a common origin of the collectivity seen in pPb and PbPb collisions in the measured multiplicity range.
Figures Summary References CMS Publications
Figures

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Figure 1:
The $v_2$, $v_3$ [25], and $v_4$ coefficients from long-range two-particle correlations for 0.3 $ < {p_{\mathrm {T}}} < $ 3 GeV/$c$ as a function of ${N_\text {trk}^\text {offline}}$ in ${{\mathrm{p}} {\mathrm{p}}}$ at $ {\sqrt{\smash[b]{s}}} = $ 13 TeV (a), pPb at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV [32] and 8.16 TeV (b), and PbPb at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV collisions (c). The results corrected by low-multiplicity subtraction are denoted as $v_{n}^\text {sub}$. The lines show the $v_{n}$ results before subtraction of low-multiplicity correlations. The gray boxes represent systematic uncertainties.

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Figure 2:
The SCs for the second and third coefficient (red points) and the second and fourth coefficient (blue points) as a function of ${N_\text {trk}^\text {offline}}$ in pp collisions at $ {\sqrt{\smash[b]{s}}} = $ 13 TeV (a), pPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 and 8.16 TeV (b), and PbPb collisions at $ {\sqrt {\smash [b]{s_{_{\mathrm {NN}}}}}} = $ 5.02 TeV (c). The gray boxes represent systematic uncertainties.

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Figure 3:
The SCs for the second and third coefficients (left) and the second and fourth coefficients (right) normalized by $\left < v_2^{2}\right > \left < v_3^{2}\right > $ and $\left < v_2^{2}\right > \left < v_4^{2}\right > $ from two-particle correlations. The track ${p_{\mathrm {T}}}$ range is 0.3 $ < {p_{\mathrm {T}}} < $ 3 GeV/$c$ and the results are shown as a function of ${N_\text {trk}^\text {offline}}$ in pp collisions at $ {\sqrt{\smash[b]{s}}} = $ 13 TeV, 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.
Summary
In summary, the first measurements of azimuthal anisotropy Fourier coefficients and correlations of different coefficients in pPb collisions at $\sqrt{\smash[b]{s_{_\mathrm{NN}}}} = $ 8.16 TeV are presented based on data collected by the CMS experiment at the LHC. The $v_2$, $v_3$, and $v_4$ Fourier coefficients are extracted from long-range two-particle correlations in classes of event multiplicity, and are found to be consistent with pPb data at $\sqrt{\smash[b]{s_{_\mathrm{NN}}}} = $ 5.02 TeV. The pPb results are compared to those in pp at $ \sqrt{\smash[b]{s}} = $13 TeV and PbPb at $\sqrt{\smash[b]{s_{_\mathrm{NN}}}} = $ 5.02 TeV. Using a four-particle cumulant technique, correlations of different coefficient orders are obtained, where a negative (positive) correlation is observed between $v_2$ and $v_3$ ($v_4$) in pPb collisions. This behavior is similar to what is observed in the PbPb system, where the result is attributed to the hydrodynamic flow of a strongly interacting medium. Normalized correlation coefficients for $v_2$ and $v_3$ are found to be quantitatively similar between pPb and PbPb, while for $v_2$ and $v_4$ the results are larger in PbPb than in PbPb. The corresponding result in pp collisions shows a similar trend at high multiplicity but the statistical uncertainties are too large to make a quantitative statement. The results presented in this Letter provide further evidence of a similar origin of collectivity observed in small and large hadronic systems and impose constraints on theoretical model calculations.
References
1 STAR Collaboration Distributions of charged hadrons associated with high transverse momentum particles in pp and Au+Au collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 200 GeV PRL 95 (2005) 152301 nucl-ex/0501016
2 STAR Collaboration Long range rapidity correlations and jet production in high energy nuclear collisions PRC 80 (2009) 064912 0909.0191
3 PHOBOS Collaboration System size dependence of cluster properties from two- particle angular correlations in Cu+Cu and Au+Au collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 200 GeV PRC 81 (2010) 024904 0812.1172
4 PHOBOS Collaboration High transverse momentum triggered correlations over a large pseudorapidity acceptance in Au+Au collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 200 GeV PRL 104 (2010) 062301 0903.2811
5 STAR Collaboration Three-particle coincidence of the long range pseudorapidity correlation in high energy nucleus-nucleus collisions PRL 105 (2010) 022301 0912.3977
6 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
7 CMS Collaboration Centrality dependence of dihadron correlations and azimuthal anisotropy harmonics in PbPb collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 2.76 TeV EPJC 72 (2012) 10052 CMS-HIN-11-006
1201.3158
8 ALICE Collaboration Harmonic decomposition of two-particle angular correlations in Pb-Pb collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 2.76 TeV PLB 708 (2012) 249 1109.2501
9 ATLAS Collaboration Measurement of the azimuthal anisotropy for charged particle production in $ \sqrt{s_{\mathrm{NN}}}\ = $ 2.76 TeV lead-lead collisions with the ATLAS detector PRC 86 (2012) 014907 1203.3087
10 CMS Collaboration Studies of azimuthal dihadron correlations in ultra-central PbPb collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 2.76 TeV JHEP 02 (2014) 088 CMS-HIN-12-011
1312.1845
11 J.-Y. Ollitrault Anisotropy as a signature of transverse collective flow PRD 46 (1992) 229
12 B. Alver and G. Roland Collision geometry fluctuations and triangular flow in heavy-ion collisions PRC 81 (2010) 054905 1003.0194
13 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
14 B. H. Alver, C. Gombeaud, M. Luzum, and J.-Y. Ollitrault Triangular flow in hydrodynamics and transport theory PRC 82 (2010) 034913 1007.5469
15 B. Schenke, S. Jeon, and C. Gale Elliptic and triangular flow in event-by-event D=3+1 viscous hydrodynamics PRL 106 (2011) 042301 1009.3244
16 Z. Qiu, C. Shen, and U. Heinz Hydrodynamic elliptic and triangular flow in Pb-Pb collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 2.76 TeV PLB 707 (2012) 151 1110.3033
17 ATLAS Collaboration Measurement of the correlation between flow harmonics of different order in lead-lead collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 2.76 TeV with the ATLAS detector PRC 92 (2015) 034903 1504.01289
18 ALICE Collaboration Correlated event-by-event fluctuations of flow harmonics in Pb-Pb collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 2.76 TeV PRL 117 (2016) 182301 1604.07663
19 A. Bilandzic et al. Generic framework for anisotropic flow analyses with multiparticle azimuthal correlations PRC 89 (2014) 064904 1312.3572
20 X. Zhu, Y. Zhou, H. Xu, and H. Song Correlations of flow harmonics in 2.76A TeV Pb--Pb collisions PRC 95 (2017) 044902 1608.05305
21 G. Giacalone, L. Yan, J. Noronha-Hostler, and J.-Y. Ollitrault Symmetric cumulants and event-plane correlations in Pb+Pb collisions PRC 94 (2016) 014906 1605.08303
22 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
23 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
24 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
25 CMS Collaboration Evidence for collectivity in pp collisions at the LHC PLB 765 (2017) 193 CMS-HIN-16-010
1606.06198
26 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
27 ALICE Collaboration Long-range angular correlations on the near and away side in pPb collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 5.02 TeV PLB 719 (2013) 29 1212.2001
28 ATLAS Collaboration Observation of Associated Near-side and Away-side Long-range Correlations in $ \sqrt{s_{\mathrm{NN}}}\ = $ 5.02 TeV Proton-lead Collisions with the ATLAS Detector PRL 110 (2013) 182302 1212.5198
29 LHCb Collaboration Measurements of long-range near-side angular correlations in $ \sqrt{s_{\mathrm{NN}}}\ = $ 5 TeV proton-lead collisions in the forward region PLB 762 (2016) 473 1512.00439
30 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
31 ALICE Collaboration Long-range angular correlations of $ \pi $, K and p in p--Pb collisions at $ \sqrt{s_{\mathrm{NN}}}\ = $ 5.02 TeV PLB 726 (2013) 164 1307.3237
32 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
33 ATLAS Collaboration Measurement of long-range pseudorapidity correlations and azimuthal harmonics in $ \sqrt{s_{\mathrm{NN}}}\ = $ 5.02 TeV proton-lead collisions with the ATLAS detector PRC 90 (2014) 044906 1409.1792
34 CMS Collaboration Evidence for collective multi-particle correlations in pPb collisions PRL 115 (2015) 012301 CMS-HIN-14-006
1502.05382
35 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
36 S. Schlichting and B. Schenke The shape of the proton at high energies PLB 739 (2014) 313 1407.8458
37 P. Bo\.zek, W. Broniowski, and M. Rybczy\'nski Wounded quarks in A+A, p+A, and p+p collisions PRC 94 (2016) 014902 1604.07697
38 K. Welsh, J. Singer, and U. W. Heinz Initial state fluctuations in collisions between light and heavy ions PRC 94 (2016) 024919 1605.09418
39 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
40 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
41 GEANT4 Collaboration Geant4 --- a simulation toolkit NIMA 506 (2003) 250
42 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
43 CMS Collaboration Observation of charge-dependent azimuthal correlations in pPb collisions and its implication for the search for the chiral magnetic effect PRL 118 (2017) 122301 CMS-HIN-16-009
1610.00263
44 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
45 A. Bilandzic, R. Snellings, and S. Voloshin Flow analysis with cumulants: Direct calculations PRC 83 (2011) 044913 1010.0233
46 K. Dusling, M. Mace, and R. Venugopalan Multiparticle collectivity from initial state correlations in high energy proton-nucleus collisions 1705.00745
47 K. Dusling, M. Mace, and R. Venugopalan Parton model description of multiparticle azimuthal correlations in $ \rm pA $ collisions 1706.06260
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