Forward dijets in high-energy collisions: evolution of QCD n-point functions beyond the dipole approximation

Abstract

Present knowledge of QCD n-point functions of Wilson lines at high energies is rather limited. In practical applications, it is therefore customary to factorize higher n-point functions into products of two-point functions (dipoles) which satisfy the BK evolution equation. We employ the JIMWLK formalism to derive explicit evolution equations for the 4- and 6-point functions of fundamental Wilson lines and show that if the Gaussian approximation is carried out before the rapidity evolution step is taken, then many leading order N_c contributions are missed. Our evolution equations could specifically be used to improve calculations of forward dijet angular correlations, recently measured by the STAR collaboration in deuteron-gold collisions at the RHIC collider. Forward dijets in proton-proton collisions at the LHC probe QCD evolution at even smaller light-cone momentum fractions. Such correlations may provide insight into genuine differences between the JIMWLK and BK approaches.

8 pages, 1 figure

References in corpus (32)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Wilson renormalization group for low x physics: towards the high density regime
• The BFKL Equation from the Wilson Renormalization Group
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Unitarization of the BFKL Pomeron on a Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• The Intrinsic Glue Distribution at Very Small x
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Relating different approaches to nonlinear QCD evolution at finite gluon density
• Unitarization of Gluon Distribution in the Doubly Logarithmic Regime at High Density
• High energy pA collisions in the color glass condensate approach II. Quark production
• Forward inclusive dijet production and azimuthal correlations in pA collisions
• Forward Quark Jets from Protons Shattering the Colored Glass
• Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate
• Universal features of JIMWLK and BK evolution at small x
• Vector potential versus colour charge density in low-x evolution
• Inclusive Two-Gluon and Valence Quark-Gluon Production in DIS and pA
• Subleading-N_c corrections in non-linear small-x evolution
• A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
• Jet Azimuthal Correlations and Parton Saturation in the Color Glass Condensate
• Balitsky's hierarchy from Mueller's dipole model and more about target correlations
• New observables to test the Color Glass Condensate beyond the large-N_c limit
• Two-particle correlations in high energy collisions and the gluon four-point function
• Particle Correlations in Saturated QCD Matter
• Energy losses in the black disc regime and correlation effects in the STAR forward pion production in dAu collisions
• Light projectile scattering off the Color Glass Condensate
• Nonlinear k_\perp-factorization for Quark-Gluon Dijet Production off Nuclei
• Rapidity and centrality dependence of azimuthal correlations in Deuteron-Gold collisions at RHIC
• QCD saturation in the dipole sector with correlations
• QCD Saturation Equations including Dipole-Dipole Correlation

Cited by in corpus (22)

• A Large Hadron Electron Collider at CERN: Report on the Physics and Design Concepts for Machine and Detector
• Universality of Unintegrated Gluon Distributions at small x
• On the linearly polarized gluon distributions in the color dipole model
• Renormalization group evolution of multi-gluon correlators in high energy QCD
• Forward dihadron correlations in deuteron-gold collisions with a Gaussian approximation of JIMWLK
• Angular and long range rapidity correlations in particle production at high energy
• Prompt photon production and photon-hadron correlations at RHIC and the LHC from the Color Glass Condensate
• On the small-x evolution of the color quadrupole and the Weizsäcker-Williams gluon distribution
• Azimuthal asymmetries for quark pair production in pA collisions
• Universality of multi-particle production in QCD at high energies
• Two-gluon correlations and initial conditions for small-x evolution
• Quark jets scattering from a gluon field: from saturation to high $p_t$
• One-Loop Corrections to Dihadron Production in DIS at Small $x$
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
• Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons
• Higgs boson production in high energy proton-nucleus collisions
• On perturbative limits of quadrupole evolution in QCD at high energy
• Small-$x$ QCD evolution of $2n$ Wilson line correlator: the weak field limit
• Azimuthal angle and rapidity dependence of di-hadron correlations in QCD
• Computing Early-time Dynamics in Heavy Ion Collisions: Status, Problems and Prospects
• Coherent energy loss effects in dihadron azimuthal angular correlations in Deep Inelastic Scattering at small $x$