High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs

Abstract

We analytically compute higher order cumulants of the azimuthal anisotropy, $c_2\{2m\}$, and corresponding $v_2\{2m\}$ at high transverse momentum in the dilute-dense limit. The dense target is considered in the framework of the McLerran-Venugopolan model. The absolute values of the harmonics $v_2\{2m\}$ of the azimuthal anisotropy are approximately equal, $|v_2\{2m\}|\approx |v_2\{2m^{\prime }\}|$, for large $m$ and $m^{\prime }$. However, the harmonics with order $2m=4n$ are complex. We argue that this is a generic property of connected graphs, which remains true in the dense-dense limit.

arXiv comment7 pages, 3 figures; version accepted to Phys. Rev. D

References in corpus (30)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• 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
• 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
• Multiplicity and transverse-momentum dependence of two- and four-particle correlations in pPb and PbPb collisions
• Flow analysis from multiparticle azimuthal correlations
• Glasma flux tubes and the near side ridge phenomenon at RHIC
• Quadrupole Anisotropy in Dihadron Azimuthal Correlations in Central $d$$+$Au Collisions at $\sqrt{s_{{}_{NN}}}$=200 GeV
• 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
• Collective flow in p-Pb and d-Pb collisions at TeV energies
• Collective dynamics of the high-energy proton-nucleus collisions
• Multi-particle azimuthal correlations in p-Pb and Pb-Pb collisions at the CERN Large Hadron Collider
• Measurement with the ATLAS detector of multi-particle azimuthal correlations in p+Pb collisions at sqrt(s_NN)=5.02 TeV
• Azimuthal collimation of long range rapidity correlations by strong color fields in high multiplicity hadron-hadron collisions
• Elliptic and triangular flow in p+Pb and peripheral Pb+Pb collisions from parton scatterings
• Explanation of systematics of CMS p+Pb high multiplicity di-hadron data at ${\sqrt{s}}_{\mathrm{NN}}=5.02$ TeV
• Eccentric protons? Sensitivity of flow to system size and shape in p+p, p+Pb and Pb+Pb collisions
• Evidence for flow in pPb collisions at 5 TeV from v2 mass splitting
• Angular Correlations in Gluon Production at High Energy
• Renormalization group evolution of multi-gluon correlators in high energy QCD
• Long-Range Rapidity Correlations in Heavy-Light Ion Collisions
• Glittering Glasmas
• Angular and long range rapidity correlations in particle production at high energy
• The Ridge from the BFKL evolution and beyond
• Long-range azimuthal correlations in proton-proton and proton-nucleus collisions from the incoherent scattering of partons
• On Angular Correlations and High Energy Evolution
• Two-particle correlations in high energy collisions and the gluon four-point function
• Azimuthal asymmetries in high-energy collisions of protons with holographic shockwaves

Cited by in corpus (23)

• Tracing the origin of azimuthal gluon correlations in the color glass condensate
• Multiparticle collectivity from initial state correlations in high energy proton-nucleus collisions
• The smallest fluid on earth
• Hybrid Color Glass Condensate and hydrodynamic description of the Relativistic Heavy Ion Collider small system scan
• Parton model description of multiparticle azimuthal correlations in $pA$ collisions
• Azimuthal harmonics of color fields in a high energy nucleus
• Odd Azimuthal Anisotropy of the Glasma for pA Scattering
• Exploring correlations in the CGC wave function: odd azimuthal anisotropy
• Multiparticle azimuthal cumulants in p+Pb collisions from a multiphase transport model
• DPS in CGC: Double Quark Production and Effects of Quantum Statistics
• Origins of collectivity in small systems
• Finite Numbers of Sources, Particle Correlations and the Color Glass Condensate
• Di-photon "Ridge" in p+p and p+A collisions at RHIC and the LHC
• Correlations and the ridge in the Color Glass Condensate beyond the glasma graph approximation
• Multi-particle eccentricities in collisions dominated by fluctuations
• Elliptic flow coefficients from transverse momentum conservation
• Initial state qqg correlations as a background for the Chiral Magnetic Effect in collision of small systems
• Hadronization Scheme Dependence of Long-Range Azimuthal Harmonics in High Energy p+A Reactions
• A remark on the sign change of the four-particle azimuthal cumulant in small systems
• Multiparticle azimuthal cumulants from transverse momentum conservation and collective flow
• Testing the collectivity in large and small colliding systems with test particles
• Symmetric cumulant $s{c}_{2,4}\left\{4\right\}$ and asymmetric cumulant $a{c}_2\left\{3\right\}$ from transverse momentum conservation and flow
• Effect of transverse momentum conservation and flow on symmetric cumulants $s{c}_{2,3}\left\{4\right\}$ and $s{c}_{2,3,4}\left\{6\right\}$