Correlations and the ridge in the Color Glass Condensate beyond the glasma graph approximation

Abstract

We consider two-gluon production in dilute-dense collisions within the Color Glass Condensate framework, applicable to both proton-nucleus and heavy-light ion collisions. We go beyond the glasma graph approximation which is valid in the dilute-dilute limit and show the correspondence between the glasma graphs and the $k_T$-factorized approach that we use in our calculation. We then identify the classical uncorrelated, and the Hanbury-Brown-Twiss (HBT) and Bose enhancement correlated contributions, with the Bose enhancement contribution being suppressed by the number of degrees of freedom with respect to the uncorrelated piece. We show that both the HBT and the Bose enhancement pieces survive the inclusion of higher order contributions in density and that they stem from the quadrupole piece of the two-gluon inclusive cross section. Finally, we illustrate the results using a toy model that allows a simple numerical implementation.

arXiv comment18 pages, 8 figures; v2: reference added; v3: vertical legend of figs. 3 and 4 corrected, final version

References in corpus (57)

• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Color Glass Condensate
• Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC
• 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
• Evidence for collectivity in pp collisions at the LHC
• Glasma flux tubes and the near side ridge phenomenon at RHIC
• The characteristics of thermalization of boost-invariant plasma from holography
• 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
• 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
• Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
• Initial state geometry and the role of hydrodynamics in proton-proton, proton-nucleus and deuteron-nucleus collisions
• Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory
• High transverse momentum triggered correlations over a large pseudorapidity acceptance in Au+Au collisions at sqrt(s_NN)=200 GeV
• Measurement of long-range near-side two-particle angular correlations in pp collisions at sqrt(s) = 13 TeV
• Azimuthal collimation of long range rapidity correlations by strong color fields in high multiplicity hadron-hadron collisions
• Correlations from hydrodynamic flow in p-Pb collisions
• The "Ridge" in Proton-Proton Scattering at 7 TeV
• Measurement of long-range angular correlation and quadrupole anisotropy of pions and (anti)protons in central $d$$+$Au collisions at $\sqrt{s_{{}_{NN}}}$=200 GeV
• Measurements of elliptic and triangular flow in high-multiplicity ${}^3$He$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Long Range Correlations and the Soft Ridge in Relativistic Nuclear Collisions
• Explanation of systematics of CMS p+Pb high multiplicity di-hadron data at ${\sqrt{s}}_{\mathrm{NN}}=5.02$ TeV
• Evidence for BFKL and saturation dynamics from di-hadron spectra at the LHC
• Angular Correlations in Gluon Production at High Energy
• High Multiplicity pp and pA Collisions: Hydrodynamics at its Edge
• 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
• Long-range pseudorapidity dihadron correlations in $d$+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Angular and long range rapidity correlations in particle production at high energy
• Do nuclear collisions create a locally equilibrated quark-gluon plasma?
• Tracing the origin of azimuthal gluon correlations in the color glass condensate
• Measurements of long-range near-side angular correlations in $\sqrt{s_{\text{NN}}}=5$TeV proton-lead collisions in the forward region
• Long Range Forward-Backward Correlations and the Color Glass Condensate
• The Ridge from the BFKL evolution and beyond
• Multiparticle collectivity from initial state correlations in high energy proton-nucleus collisions
• On Angular Correlations and High Energy Evolution
• Parton model description of multiparticle azimuthal correlations in $pA$ collisions
• Anisotropy of the semi-classical gluon field of a large nucleus at high energy
• Possible multiparticle ridge-like correlations in very high multiplicity proton-proton collisions
• Collectivity from interference
• Two-Gluon Correlations in Heavy-Light Ion Collisions: Energy and Geometry Dependence, IR Divergences, and $k_T$-Factorization
• Odd Azimuthal Anisotropy of the Glasma for pA Scattering
• Exploring correlations in the CGC wave function: odd azimuthal anisotropy
• When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions
• New Regimes of Stringy (Holographic) Pomeron and High Multiplicity pp and pA Collisions
• Hanbury-Brown-Twiss measurements at large rapidity separations, or can we measure the proton radius in p-A collisions?
• DPS in CGC: Double Quark Production and Effects of Quantum Statistics
• Azimuthal Anisotropy: Ridges, Recombination and Breaking of Quark Number Scaling
• Multi Quark Production in p+A collisions: Quantum Interference Effects
• High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs
• Quark correlations in the Color Glass Condensate: Pauli blocking and the ridge
• Onset of the ridge structure in AA, pA and pp collisions
• DPS in CGC: HBT correlations in double inclusive photon production
• Initial state qqg correlations as a background for the Chiral Magnetic Effect in collision of small systems

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