Parton model description of multiparticle azimuthal correlations in $pA$ collisions

Abstract

In arXiv:1705.00745, an initial state "parton model" of quarks scattering off a dense nuclear target was shown to qualitatively reproduce the systematics of multiparticle azimuthal anisotropy cumulants measured in proton/deuteron-nucleus ($pA$) collisions at RHIC and the LHC. The systematics included i) the behavior of the four-particle cumulant $c_2\{4\}$, which generates a real four-particle second Fourier harmonic $v_2\{4\}$, ii) the ordering $v_2\{2\}>v_2\{4\}\approx v_2\{6\}\approx v_2\{8\}$ for two-, four-, six-, and eight-particle Fourier harmonics, iii) the behavior of so-called symmetric cumulants $\text{SC}(2,3)$ and $\text{SC}(2,4)$. These features of azimuthal multiparticle cumulants were previously interpreted as a signature of hydrodynamic flow; our results challenge this interpretation. We expand here upon our previous study and present further details and novel results on the saturation scale and transverse momentum ($p_{\perp }$) dependence of multiparticle azimuthal correlations. We find that the dependence of $v_2\{2\}$ and $v_2\{4\}$ on the number of color domains in the target varies with the $p_{\perp }$ window explored. We extend our prior discussion of symmetric cumulants and compute as yet unmeasured symmetric cumulants. We investigate the $N_c$ dependence of $v_2\{2\}$ and $v_2\{4\}$. We contrast our results, which include multiple scatterings of each quark off the target, to the Glasma graph approximation, where each quark suffers at most two gluon exchanges with the target. We find that coherent multiple scattering is essential to obtain a positive definite $v_2\{4\}$. We provide an algorithm to compute expectation values of arbitrary products of the "dipole" lightlike Wilson line correlators.

arXiv comment26 pages, 22 figures, 1 appendix. v2: Further discussions and references added; version accepted for publication in Phys. Rev. D

References in corpus (74)

• Parton distributions for the LHC Run II
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Color Glass Condensate
• The Wilson renormalization group for low x physics: towards the high density regime
• Transverse momentum and collision energy dependence of high $p_T$ hadron suppression in Au+Au collisions at ultrarelativistic energies
• Evidence from d+Au measurements for final-state suppression of high $p_T$ hadrons in Au+Au collisions at RHIC
• Exclusive diffractive processes at HERA within the dipole picture
• Study of high-pT charged particle suppression in PbPb compared to pp collisions at sqrt(sNN)=2.76 TeV
• Multiplicity and transverse-momentum dependence of two- and four-particle correlations in pPb and PbPb collisions
• Flow analysis from multiparticle azimuthal correlations
• Unitarity and the BFKL Pomeron
• Centrality dependence of charged particle production at large transverse momentum in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Glasma flux tubes and the near side ridge phenomenon at RHIC
• AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
• 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
• 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
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• High energy pA collisions in the color glass condensate approach II. Quark production
• Generic framework for anisotropic flow analyses with multi-particle azimuthal correlations
• Novel Collective Phenomena in High-Energy Proton-Proton and Proton-Nucleus Collisions
• Single inclusive particle production at high energy from HERA data to 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
• Forward Quark Jets from Protons Shattering the Colored Glass
• Correlations from hydrodynamic flow in p-Pb collisions
• Correlated event-by-event fluctuations of flow harmonics in Pb-Pb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV
• Imprints of fluctuating proton shapes on flow in proton-lead collisions at the LHC
• Multiplicity dependence of charged pion, kaon, and (anti)proton production at large transverse momentum in p-Pb collisions at $\sqrt{{\text{s}}_{\mathrm{NN}}}$ = 5.02 TeV
• How Protons Shatter Colored Glass
• Explanation of systematics of CMS p+Pb high multiplicity di-hadron data at ${\sqrt{s}}_{\mathrm{NN}}=5.02$ TeV
• Long range two-particle rapidity correlations in A+A collisions from high energy QCD evolution
• Eikonal Evolution and Gluon Radiation
• Evidence for BFKL and saturation dynamics from di-hadron spectra at the LHC
• Angular Correlations in Gluon Production at High Energy
• High energy factorization in nucleus-nucleus collisions
• Measurement of multi-particle azimuthal correlations in $pp$, $p$+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector
• Long-Range Rapidity Correlations in Heavy-Light Ion Collisions
• Mass ordering of spectra from fragmentation of saturated gluon states in high multiplicity proton-proton collisions
• Glittering Glasmas
• High energy factorization in nucleus-nucleus collisions II - Multigluon correlations
• Angular and long range rapidity correlations in particle production at high energy
• Tracing the origin of azimuthal gluon correlations in the color glass condensate
• Azimuthal asymmetries and the emergence of "collectivity" from multi-particle correlations in high-energy pA collisions
• Relative flow fluctuations as a probe of initial state fluctuations
• Multiparticle collectivity from initial state correlations in high energy proton-nucleus collisions
• Initial state fluctuations in collisions between light and heavy ions
• Elliptic flow from color-dipole orientation in pp and pA collisions
• Universality of multi-particle production in QCD at high energies
• Initial state angular asymmetries in high energy p+A collisions: spontaneous breaking of rotational symmetry by a color electric field and C-odd fluctuations
• Anisotropy of the semi-classical gluon field of a large nucleus at high energy
• Correlations of flow harmonics in 2.76A TeV Pb--Pb collisions
• Symmetric cumulants and event-plane correlations in Pb+Pb collisions
• Non-perturbative computation of double inclusive gluon production in the Glasma
• Three-particle correlation from glasma flux tubes
• On multiple scatterings of mesons in hot and cold QCD matter
• Azimuthal harmonics of color fields in a high energy nucleus
• Anisotropic distributions in a multi-phase transport model
• Odd Azimuthal Anisotropy of the Glasma for pA Scattering
• A scaling relation between pA and AA collisions
• Light projectile scattering off the Color Glass Condensate
• Energy dependence of the ridge in high multiplicity proton-proton collisions
• Non-Gaussian eccentricity fluctuations
• High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs
• Penetration of a high energy QQbar bound state through SU(N) color background
• Multipole scattering amplitudes in the Color Glass Condensate formalism
• Triple- and Quadruple-Gluon Azimuthal Correlations from Glasma and Higher-Dimensional Ridges
• PHENIX results on multiparticle correlations in small systems
• Long Range Azimuthal Correlations of Multiple Gluons in Gluon Saturation Limit
• PHENIX Overview

Cited by in corpus (53)

• Small System Collectivity in Relativistic Hadron and Nuclear Collisions
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Hydrodynamic predictions for 5.44 TeV Xe+Xe collisions
• Hierarchy of azimuthal anisotropy harmonics in collisions of small systems from the Color Glass Condensate
• Effect of the QCD equation of state and strange hadronic resonances on multiparticle correlations in heavy ion collisions
• 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
• Probing the partonic degrees of freedom in high multiplicity p-Pb collisions at $\sqrt{s_{NN}}=$ 5.02 TeV
• Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC
• Observable signatures of initial state momentum anisotropies in nuclear collisions
• The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Systematics of azimuthal anisotropy harmonics in proton-nucleus collisions at the LHC from the Color Glass Condensate
• On the elliptic flow of heavy quarkonia in $pA$ collisions
• Non-eikonal corrections to multi-particle production in the Color Glass Condensate
• Higher order Symmetric Cumulants
• Development of transverse flow at small and large opacities in conformal kinetic theory
• Effect of non-eikonal corrections on azimuthal asymmetries in the Color Glass Condensate
• Collectivity in Ultra-Peripheral Pb+Pb Collisions at the Large Hadron Collider
• Searching for small droplets of hydrodynamic fluid in proton--proton collisions at the LHC
• Small system studies: A theory overview
• Development of heavy-flavour flow-harmonics in high-energy nuclear collisions
• Extracting many-body correlators of saturated gluons with precision from inclusive photon+dijet final states in deeply inelastic scattering
• Rapidity dependence of initial state geometry and momentum correlations in p+Pb collisions
• Double and triple inclusive gluon production at mid rapidity: quantum interference in p-A scattering
• Multi Quark Production in p+A collisions: Quantum Interference Effects
• Inclusive prompt photon-jet correlations as a probe of gluon saturation in electron-nucleus scattering at small $x$
• Next-to-leading order Balitsky-Kovchegov equation beyond large $N_{\mathrm{c}}$
• The Collectivity of Heavy Mesons in Proton-Nucleus Collisions
• Directed flow from C-odd gluon correlations at small $x$
• Multiparticle correlation studies in pPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 8.16 TeV
• Opacity dependence of transverse flow, pre-equilibrium and applicability of hydrodynamics in heavy-ion collisions
• Particle correlations from the initial state
• Correlations and the ridge in the Color Glass Condensate beyond the glasma graph approximation
• Collectivity in pp from resummed interference effects?
• Multi-particle production in proton-nucleus collisions in the Color Glass Condensate
• Exploring the Collective Phenomenon at the Electron-Ion Collider
• Multiparticle Production at Mid-Rapidity in the Color-Glass Condensate
• Collectivity in large and small systems formed in ultrarelativistic collisions
• Wilson line correlators beyond the large-$N_c$
• Multiparticle azimuthal angular correlations in $pA$ collisions
• Jet evolution in a dense QCD medium
• Measurement of the Sensitivity of Two-Particle Correlations in $pp$ Collisions to the Presence of Hard Scatterings
• Hadronization of correlated gluon fields
• What does the matter created in high multiplicity proton-nucleus collisions teach us about the 3-D structure of the proton?
• Bulk quantities in nuclear collisions from running coupling $k_T$-factorization and hybrid simulations
• Correlated gluonic hot spots meet symmetric cumulants data at LHC energies
• Collectivity in small systems - Initial state vs. final state effects
• Mapping the internal structure of hadrons through color and spin effects
• Anisotropic flow and the valence quark skeleton of hadrons
• Multiparticle correlations and collectivity in small systems from the initial state
• Rapidity Distributions of Hadrons in Proton-Nucleus Collisions