CMS-HIN-16-022 ; CERN-EP-2017-220 | ||
Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC | ||
CMS Collaboration | ||
26 September 2017 | ||
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. | ||
Links: e-print arXiv:1709.09189 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; |
Figures | |
png pdf |
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. |
png pdf |
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. |
png pdf |
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 |
Compact Muon Solenoid LHC, CERN |