CMS-HIN-21-002 ; CERN-EP-2022-199 | ||
Azimuthal anisotropy of dijet events in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV | ||
CMS Collaboration | ||
15 October 2022 | ||
JHEP 07 (2023) 139 | ||
Abstract: The path-length dependent parton energy loss within the dense partonic medium created in lead-lead collisions at a nucleon-nucleon center-of-mass energy of $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV is studied by determining the azimuthal anisotropies for dijets with high transverse momentum. The data were collected by the CMS experiment in 2018 and correspond to an integrated luminosity of 1.69 fb$^{-1}$. For events containing back-to-back jets, correlations in relative azimuthal angle and pseudorapidity ($ \eta $) between jets and hadrons, and between two hadrons, are constructed. The anisotropies are expressed as the Fourier expansion coefficients $v_n$, $ n = $ 2-4 of these azimuthal distributions. The dijet $v_n$ values are extracted from long-range (1.5 $ < |\Delta\eta| < $ 2.5) components of these correlations, which suppresses the background contributions from jet fragmentation processes. Positive dijet $v_2$ values are observed which increase from central to more peripheral events, while the $v_3$ and $v_4$ values are consistent with zero within experimental uncertainties. | ||
Links: e-print arXiv:2210.08325 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; Physics Briefing ; CADI line (restricted) ; |
Figures & Tables | Summary | Additional Figures | References | CMS Publications |
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Figures | |
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Figure 1:
Illustration on how the long-range correlation distribution is constructed. The shape of the $ \Delta\varphi $ projection corresponding to the range 1.5 $ < |\Delta\eta| < $ 2.5 is determined from both leading and subleading jet-hadron correlation distributions for $ |\Delta\varphi| < \pi/ $ 2. The whole 2 $ \pi $ range for the $ \Delta\varphi $ distribution is obtained by combining these two components. |
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Figure 2:
The dijet $v_n$ data points factorized using different associated hadron $ p_{\mathrm{T}} $ bins for 0-10% (left), 10-30% (middle), and 30-50% (right) centrality bins. The data points are corrected for the jet reconstruction bias effects. The vertical bars represent statistical uncertainties, while the $ p_{\mathrm{T}} $-independent systematic uncertainties are plotted as shaded areas on the left side of the panels. |
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Figure 3:
Final dijet $v_2$ (left), $v_3$ (middle), and $v_4$ (right) results presented as functions of centrality. The dijet $v_2$ results are compared to CMS high-$ p_{\mathrm{T}} $ hadron $v_2$ results from Ref. [28]. The shaded areas represent systematic uncertainties and the vertical bars are the statistical uncertainties. |
Tables | |
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Table 1:
The breakdown of different sources of systematic uncertainty for dijet $v_n$, separately for the three centrality bins considered in the analysis. |
Summary |
The Fourier coefficients $v_2$, $v_3$, and $v_4$ are determined for jets from events containing back-to-back jets (``dijet $v_n$'') in lead-lead collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV. The jet-hadron correlation technique used for this measurement has been developed to unambiguously separate jet fragmentation-related contributions from the long-range correlations due to the in-medium path length and medium density dependencies of parton energy loss. The dijet $v_2$ values are found to be positive, meaning that more jets are observed coplanar with the event plane than perpendicular to this plane. The dijet $v_2$ values increase with increasing eccentricity of the initial collision region, from about 2.0% in the 0-10% centrality bin to about 4.4% in the 30-50% centrality bin. These results are qualitatively consistent with expectations from a path-length dependence of in-medium energy loss. For all measured centrality bins, the dijet $v_3$ and $v_4$ values are consistent with zero within experimental uncertainties. Within the accuracy of this analysis, this shows that no significant modifications due to the initial state geometry and medium density fluctuations are seen in the jet azimuthal distributions. The measured dijet $v_n$ values provide valuable input to a more precise and quantitative description of the partonic energy loss in the quark-gluon plasma. |
Additional Figures | |
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Additional Figure 1:
Dijet $ v_{2} $ results presented as a function of centrality. The shaded areas represent systematic uncertainties and the vertical bars are the statistical uncertainties. |
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Additional Figure 2:
Dijet $ v_{2} $, $ v_{3} $, and $ v_{4} $ results presented as functions of centrality. The shaded areas represent systematic uncertainties and the vertical bars are the statistical uncertainties. |
References | ||||
1 | PHOBOS Collaboration | Centrality and pseudorapidity dependence of elliptic flow for charged hadrons in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | Phys. Rev. C 72 (2005) 051901 | nucl-ex/0407012 |
2 | PHOBOS Collaboration | System size, energy, pseudorapidity, and centrality dependence of elliptic flow | PRL 98 (2007) 242302 | nucl-ex/0610037 |
3 | PHOBOS Collaboration | Non-flow correlations and elliptic flow fluctuations in gold-gold collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | Phys. Rev. C 81 (2010) 034915 | 1002.0534 |
4 | PHENIX Collaboration | Elliptic flow of identified hadrons in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | PRL 91 (2003) 182301 | nucl-ex/0305013 |
5 | PHENIX Collaboration | Scaling properties of azimuthal anisotropy in Au+Au and Cu+Cu collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | PRL 98 (2007) 162301 | nucl-ex/0608033 |
6 | PHENIX Collaboration | Energy loss and flow of heavy quarks in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | PRL 98 (2007) 172301 | nucl-ex/0611018 |
7 | PHENIX Collaboration | Measurements of directed, elliptic, and triangular flow in Cu+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | Phys. Rev. C 94 (2016) 054910 | 1509.07784 |
8 | PHENIX Collaboration | Pseudorapidity dependence of particle production and elliptic flow in asymmetric nuclear collisions of p+Al, p+Au, d+Au, and $ ^{3} $He+Au at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | PRL 121 (2018) 222301 | 1807.11928 |
9 | STAR Collaboration | Elliptic flow in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 130 GeV | PRL 86 (2001) 402 | nucl-ex/0009011 |
10 | STAR Collaboration | Elliptic flow from two and four particle correlations in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 130 GeV | Phys. Rev. C 66 (2002) 034904 | nucl-ex/0206001 |
11 | STAR Collaboration | Particle type dependence of azimuthal anisotropy and nuclear modification of particle production in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | PRL 92 (2004) 052302 | nucl-ex/0306007 |
12 | STAR Collaboration | Azimuthal anisotropy in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | Phys. Rev. C 72 (2005) 014904 | nucl-ex/0409033 |
13 | STAR Collaboration | Elliptic flow of electrons from heavy-flavor hadron decays in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200, 62.4, and 39 GeV | Phys. Rev. C 95 (2017) 034907 | 1405.6348 |
14 | STAR Collaboration | Measurement of $ D^0 $ azimuthal anisotropy at midrapidity in Au+Au collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 200 GeV | PRL 118 (2017) 212301 | 1701.06060 |
15 | ALICE Collaboration | Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV | PRL 105 (2010) 252302 | 1011.3914 |
16 | ALICE Collaboration | Higher harmonic anisotropic flow measurements of charged particles in Pb-Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | PRL 107 (2011) 032301 | 1105.3865 |
17 | ALICE Collaboration | Elliptic flow of identified hadrons in Pb-Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | JHEP 06 (2015) 190 | 1405.4632 |
18 | ALICE Collaboration | Anisotropic flow of charged particles in Pb-Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV | PRL 116 (2016) 132302 | 1602.01119 |
19 | ATLAS Collaboration | Measurement of the pseudorapidity and transverse momentum dependence of the elliptic flow of charged particles in lead-lead collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV with the ATLAS detector | PLB 707 (2012) 330 | 1108.6018 |
20 | 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 | Phys. Rev. C 86 (2012) 014907 | 1203.3087 |
21 | ATLAS Collaboration | Measurement of the distributions of event-by-event flow harmonics in lead-lead collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV with the ATLAS detector at the LHC | JHEP 11 (2013) 183 | 1305.2942 |
22 | 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) 10052 | CMS-HIN-11-006 1201.3158 |
23 | CMS Collaboration | Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | Phys. Rev. C 87 (2013) 014902 | CMS-HIN-10-002 1204.1409 |
24 | CMS Collaboration | Azimuthal anisotropy of charged particles at high transverse momenta in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | PRL 109 (2012) 022301 | CMS-HIN-11-012 1204.1850 |
25 | CMS Collaboration | Measurement of higher-order harmonic azimuthal anisotropy in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | Phys. Rev. C 89 (2014) 044906 | CMS-HIN-11-005 1310.8651 |
26 | CMS Collaboration | Studies of azimuthal dihadron correlations in ultra-central PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | JHEP 02 (2014) 088 | CMS-HIN-12-011 1312.1845 |
27 | CMS Collaboration | Evidence for transverse momentum and pseudorapidity dependent event plane fluctuations in PbPb and pPb collisions | Phys. Rev. C 92 (2015) 034911 | CMS-HIN-14-012 1503.01692 |
28 | CMS Collaboration | Azimuthal anisotropy of charged particles with transverse momentum up to 100 GeVc in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV | PLB 776 (2018) 195 | CMS-HIN-15-014 1702.00630 |
29 | CMS Collaboration | Principal-component analysis of two-particle azimuthal correlations in PbPb and pPb collisions at CMS | Phys. Rev. C 96 (2017) 064902 | CMS-HIN-15-010 1708.07113 |
30 | ATLAS Collaboration | Measurement of the azimuthal angle dependence of inclusive jet yields in Pb+Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 2.76 TeV with the ATLAS detector | PRL 111 (2013) 152301 | 1306.6469 |
31 | ALICE Collaboration | Azimuthal anisotropy of charged jet production in $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV Pb-Pb collisions | PLB 753 (2016) 511 | 1509.07334 |
32 | ATLAS Collaboration | Measurements of azimuthal anisotropies of jet production in Pb+Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV with the ATLAS detector | Phys. Rev. C 105 (2022) 064903 | 2111.06606 |
33 | X.-N. Wang | Jet quenching and azimuthal anisotropy of large $ p_{\mathrm{T}} $ spectra in noncentral high-energy heavy ion collisions | Phys. Rev. C 63 (2001) 054902 | nucl-th/0009019 |
34 | M. Gyulassy, I. Vitev, and X.-N. Wang | High $ p_{\mathrm{T}} $ azimuthal asymmetry in noncentral A+A at RHIC | PRL 86 (2001) 2537 | nucl-th/0012092 |
35 | E. V. Shuryak | The azimuthal asymmetry at large $ p_{\mathrm{T}} $ seem to be too large for a `jet quenching' | Phys. Rev. C 66 (2002) 027902 | nucl-th/0112042 |
36 | J. Noronha-Hostler et al. | Cumulants and nonlinear response of high $ p_{\mathrm{T}} $ harmonic flow at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV | Phys. Rev. C 95 (2017) 044901 | 1609.05171 |
37 | Y. He et al. | Event-by-event jet anisotropy and hard-soft tomography of the quark-gluon plasma | Phys. Rev. C 106 (2022) 044904 | 2201.08408 |
38 | CMS Collaboration | CMS luminosity measurement using nucleus-nucleus collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV in 2018 | CMS Physics Analysis Summary, 2022 CMS-PAS-LUM-18-001 |
CMS-PAS-LUM-18-001 |
39 | CMS Collaboration | Precision luminosity measurement in proton-proton collisions at $ \sqrt{s} = $ 13 TeV in 2015 and 2016 at CMS | EPJC 81 (2021) 800 | CMS-LUM-17-003 2104.01927 |
40 | CMS Collaboration | HEPData record for this analysis | link | |
41 | CMS Collaboration | The CMS experiment at the CERN LHC | JINST 3 (2008) S08004 | |
42 | CMS Collaboration | Particle-flow reconstruction and global event description with the CMS detector | JINST 12 (2017) P10003 | CMS-PRF-14-001 1706.04965 |
43 | CMS Collaboration | Jet momentum dependence of jet quenching in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | PLB 712 (2012) 176 | CMS-HIN-11-013 1202.5022 |
44 | CMS Collaboration | Performance of the CMS level-1 trigger in proton-proton collisions at $ \sqrt{s} = $ 13 TeV | JINST 15 (2020) P10017 | CMS-TRG-17-001 2006.10165 |
45 | CMS Collaboration | The CMS trigger system | JINST 12 (2017) P01020 | CMS-TRG-12-001 1609.02366 |
46 | M. Cacciari, G. P. Salam, and G. Soyez | The anti-$ k_{\mathrm{T}} $ jet clustering algorithm | JHEP 04 (2008) 063 | 0802.1189 |
47 | O. Kodolova, I. Vardanyan, A. Nikitenko, and A. Oulianov | The performance of the jet identification and reconstruction in heavy ions collisions with CMS detector | EPJC 50 (2007) 117 | |
48 | CMS Collaboration | Charged-particle nuclear modification factors in PbPb and pPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV | JHEP 04 (2017) 039 | CMS-HIN-15-015 1611.01664 |
49 | CMS Collaboration | Identification and filtering of uncharacteristic noise in the CMS hadron calorimeter | JINST 5 (2010) T03014 | CMS-CFT-09-019 0911.4881 |
50 | T. Sjöstrand et al. | An introduction to PYTHIA 8.2 | Comput. Phys. Commun. 191 (2015) 159 | 1410.3012 |
51 | CMS Collaboration | Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements | EPJC 80 (2020) 4 | CMS-GEN-17-001 1903.12179 |
52 | I. P. Lokhtin et al. | Heavy ion event generator HYDJET++ (HYDrodynamics plus JETs) | Comput. Phys. Commun. 180 (2009) 779 | 0809.2708 |
53 | GEANT4 Collaboration | GEANT 4---a simulation toolkit | NIM A 506 (2003) 250 | |
54 | M. Cacciari, G. P. Salam, and G. Soyez | FastJet user manual | EPJC 72 (2012) 1896 | 1111.6097 |
55 | CMS Collaboration | Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV | JINST 12 (2017) P02014 | CMS-JME-13-004 1607.03663 |
56 | 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 |
57 | CMS Collaboration | In-medium modification of dijets in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV | JHEP 05 (2021) 116 | CMS-HIN-19-013 2101.04720 |
58 | M. Luzum | Collective flow and long-range correlations in relativistic heavy ion collisions | PLB 696 (2011) 499 | 1011.5773 |
59 | B. H. Alver, C. Gombeaud, M. Luzum, and J.-Y. Ollitrault | Triangular flow in hydrodynamics and transport theory | Phys. Rev. C 82 (2010) 034913 | 1007.5469 |
60 | ALICE Collaboration | Harmonic decomposition of two-particle angular correlations in Pb-Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV | PLB 708 (2012) 249 | 1109.2501 |
61 | J. Schukraft, A. Timmins, and S. A. Voloshin | Ultra-relativistic nuclear collisions: event shape engineering | PLB 719 (2013) 394 | 1208.4563 |
Compact Muon Solenoid LHC, CERN |