Two-particle correlations in high energy collisions and the gluon four-point function

Abstract

We derive the rapidity evolution equation for the gluon four-point function in the dilute regime and at small x from the JIMWLK functional equation. We show that beyond leading order in Nc the mean field (Gaussian) approximation where the four point function is factorized into a product of two point functions is violated. We calculate these factorization breaking terms and show that they contribute at leading order in Nc to correlations of two produced gluons as a function of their relative rapidity and azimuthal angle, for generic (rather than back-to-back) angles. Such two-particle correlations have been studied experimentally at the BNL-RHIC collider and could be scrutinized also for pp (and, in the future, also AA) collisions at the CERN-LHC accelerator.

15 pages, 3 figures

References in corpus (11)

• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Forward inclusive dijet production and azimuthal correlations in pA collisions
• Intra-jet correlations of high-$p_t$ hadrons from STAR
• High energy factorization in nucleus-nucleus collisions
• The azimuthal decorrelation of jets widely separated in rapidity as a test of the BFKL kernel
• High energy factorization in nucleus-nucleus collisions II - Multigluon correlations
• Azimuthal decorrelation of Mueller-Navelet jets at the Tevatron and the LHC
• One gluon, two gluon: multigluon production via high energy evolution
• Angular correlations in multi-jet final states from kt-dependent parton showers
• Treading on the cut: Semi inclusive observables at high energy
• Single and double inclusive cross-sections for nucleus-nucleus collisions in the peryrbative QCD

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