Inclusive gluon production in the dipole approach: AGK cutting rules

Abstract

We consider single gluon production in the dipole model and reproduce the result of Kovchegov and Tuchin for the adjoint (gluonic) dipole structure of the inclusive cross section. We show the validity of the adjoint dipole structure to any order of evolution deriving and solving the non-linear evolution for the non-diagonal cross section of a dipole scattering off the target. The form of the solution to this equation restores the dipole interpretation for non-diagonal cross sections, that appear in gluon production. Using this formalism, we analyse the single inclusive production cross section in terms of the contributions of different multiplicities, and we derive the Abramovskii-Gribov-Kancheli(AGK) cutting rules for two Pomeron exchange. The cutting rules, which were found in this formalism, fully reproduce the original AGK rules for the total cross section. However, for the case of gluon production, the AGK rules are violated already for one gluon emission from the vertex.

32 pages, 16 figures

References in corpus (25)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Green's Functions in the Color Field of a Large Nucleus
• Unitarity and the BFKL Pomeron
• Factorization and high-energy effective action
• Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation
• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• Inclusive Gluon Production in DIS at High Parton Density
• Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x
• Inclusive Two-Gluon and Valence Quark-Gluon Production in DIS and pA
• Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
• One gluon, two gluon: multigluon production via high energy evolution
• Diffractive Gluon Production in Proton-Nucleus Collisions and in DIS
• A QCD dipole formalism for forward-gluon production
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• A momentum Space Analysis of the Triple Pomeron Vertex in pQCD
• On the inclusive gluon jet production from the triple pomeron vertex in the perturbative QCD
• AGK Cutting Rules and Multiple Scattering in Hadronic Collisions
• On the inclusive gluon jet production off the nucleus in the perturbative QCD
• Single and double inclusive cross-sections for nucleus-nucleus collisions in the peryrbative QCD
• Particle production and AGK relations in the Color Glass Condensate picture
• Jet production in pA and AA collisions in the perturbative QCD pomeron model
• Multiple interactions and AGK rules in pQCD

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