Symmetric cumulant $s{c}_{2,4}\left\{4\right\}$ and asymmetric cumulant $a{c}_2\left\{3\right\}$ from transverse momentum conservation and flow

Abstract

Multiparticle cumulants method can be used to reveal long-range collectivity in small and large colliding systems. The four-particle symmetric cumulant $s{c}_{2,4}\left\{4\right\}$, three-particle asymmetric cumulant $a{c}_2\left\{3\right\}$, and the normalized cumulants $ns{c}_{2,4}\left\{4\right\}$ and $na{c}_2\left\{3\right\}$ from the transverse momentum conservation and flow are calculated. The interplay between the two effects is also investigated. Our results are in a good agreement with the recent ATLAS measurements of multiparticle azimuthal correlations with the subevent cumulant method, which provides insight into the origin of collective flow in small systems.

arXiv comment17 pages, 5 figures, final published version

References in corpus (77)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Methods for analyzing anisotropic flow in relativistic nuclear collisions
• Flow Study in Relativistic Nuclear Collisions by Fourier Expansion of Azimuthal Particle Distributions
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Long-range angular correlations on the near and away side in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Observation of long-range near-side angular correlations in proton-lead collisions at the LHC
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
• Higher harmonic anisotropic flow measurements of charged particles in Pb-Pb collisions at 2.76 TeV
• Azimuthal anisotropy in Au+Au collisions at sqrtsNN = 200 GeV
• Observation of Associated Near-side and Away-side Long-range Correlations in sqrt(s_NN)=5.02 TeV Proton-lead Collisions with the ATLAS Detector
• Transverse momentum analysis of collective motion in relativistic nuclear collisions
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Multiplicity and transverse-momentum dependence of two- and four-particle correlations in pPb and PbPb collisions
• Measurement of the azimuthal anisotropy for charged particle production in sqrt(s_NN) = 2.76 TeV lead-lead collisions with the ATLAS detector
• Elliptic flow from two- and four-particle correlations in Au + Au collisions at sqrt{s_{NN}} = 130 GeV
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Observation of long-range elliptic anisotropies in $\sqrt{s}=$13 and 2.76 TeV $pp$ collisions with the ATLAS detector
• Long range rapidity correlations and jet production in high energy nuclear collisions
• Quadrupole Anisotropy in Dihadron Azimuthal Correlations in Central $d$$+$Au Collisions at $\sqrt{s_{{}_{NN}}}$=200 GeV
• New method for measuring azimuthal distributions in nucleus-nucleus collisions
• Comparison of the Color Glass Condensate to di-hadron correlations in proton-proton and proton-nucleus collisions
• The ridge in proton-proton collisions at the LHC
• Event-by-event distributions of azimuthal asymmetries in ultrarelativistic heavy-ion collisions
• Collective flow in p-Pb and d-Pb collisions at TeV energies
• Evidence for collective multi-particle correlations in pPb collisions
• Initial state geometry and the role of hydrodynamics in proton-proton, proton-nucleus and deuteron-nucleus collisions
• High transverse momentum triggered correlations over a large pseudorapidity acceptance in Au+Au collisions at sqrt(s_NN)=200 GeV
• Generic framework for anisotropic flow analyses with multi-particle azimuthal correlations
• Novel Collective Phenomena in High-Energy Proton-Proton and Proton-Nucleus Collisions
• Collective dynamics of the high-energy proton-nucleus collisions
• Evidence of strong proton shape fluctuations from incoherent diffraction
• Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
• Elliptic and triangular flow in p+Pb and peripheral Pb+Pb collisions from parton scatterings
• Correlated event-by-event fluctuations of flow harmonics in Pb-Pb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV
• Measurement of higher-order harmonic azimuthal anisotropy in PbPb collisions at a nucleon-nucleon center-of-mass energy of 2.76 TeV
• Anisotropic parton escape is the dominant source of azimuthal anisotropy in transport models
• Anisotropic parton escape is the dominant source of azimuthal anisotropy in transport models
• Effects of Compression and Collective Expansion on Particle Emission from Central Heavy-Ion Reactions
• Azimuthal correlations from transverse momentum conservation and possible local parity violation
• High Multiplicity pp and pA Collisions: Hydrodynamics at its Edge
• Is the analysis of flow at the CERN SPS reliable?
• Experimental overview on small collision systems at the LHC
• Further developments of a multi-phase transport model for relativistic nuclear collisions
• $v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data
• Elliptic and triangular flow anisotropy in deuteron-gold collisions at RHIC and proton-lead collisions at the LHC
• Measurements of long-range azimuthal anisotropies and associated Fourier coefficients for $pp$ collisions at $\sqrt{s}=5.02$ and $13$ TeV and $p$+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• Hierarchy of azimuthal anisotropy harmonics in collisions of small systems from the Color Glass Condensate
• Hydrodynamic Collectivity in Proton--Proton Collisions at 13 TeV
• Non-flow correlations and elliptic flow fluctuations in gold-gold collisions at sqrt(s_NN)= 200 GeV
• Long-range azimuthal correlations in proton-proton and proton-nucleus collisions from the incoherent scattering of partons
• Mode-coupling effects in anisotropic flow in heavy-ion collisions
• Review of proton and nuclear shape fluctuations at high energy
• Elliptic flow from color-dipole orientation in pp and pA collisions
• Elliptic Flow Analysis at RHIC: Fluctuations vs. Non-Flow Effects
• Initial fluctuation effect on harmonic flow in high-energy heavy-ion collisions
• Correlated long-range mixed-harmonic fluctuations measured in $pp$, $p$+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector
• Importance of non-flow in mixed-harmonic multi-particle correlations in small collision systems
• Exploring correlations in the CGC wave function: odd azimuthal anisotropy
• Higher order Symmetric Cumulants
• Collectivity in Ultra-Peripheral Pb+Pb Collisions at the Large Hadron Collider
• Elliptic Anisotropy $v_2$ May Be Dominated by Particle Escape instead of Hydrodynamic Flow
• Progress and Challenges in Small Systems
• A flow paradigm in heavy-ion collisions
• Initial partonic eccentricity fluctuations in a multi-phase transport model
• Multiparticle correlations from momentum conservation
• High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs
• Anisotropic flow and flow fluctuations for Au + Au at $\sqrt{s_{NN}}$ = 200 GeV in a multiphase transport model
• Limitation of multi-particle correlations for studying the event-by-event distribution of harmonic flow in heavy-ion collisions
• Influence of initial-state momentum anisotropy on the final-state collectivity in small collision systems
• Non-flow effects in three-particle mixed-harmonic azimuthal correlations in small collision systems
• Elliptic flow coefficients from transverse momentum conservation
• A remark on the sign change of the four-particle azimuthal cumulant in small systems
• Symmetry plane correlations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Multiparticle azimuthal cumulants from transverse momentum conservation and collective flow
• Effect of global momentum conservation on longitudinal flow decorrelation

Cited by in corpus (1)

• Effect of transverse momentum conservation and flow on symmetric cumulants $s{c}_{2,3}\left\{4\right\}$ and $s{c}_{2,3,4}\left\{6\right\}$