Inclusive 1-jet Production Cross Section at Small x in QCD: Multiple Interactions

Abstract

We study corrections due to two Pomeron exchanges to the inclusive 1-jet production cross section in the Regge limit of perturbative QCD for a finite number of colors. By considering deep inelastic scattering on a weakly bound two-nucleon system, we carefully follow the logic of the AGK cutting rules and show, for the single inclusive cross section, that, due to the reggeization of the gluon, modifications of the AGK cutting rules appear. As our main result, we investigate and calculate the jet production vertex in the presence of a two-Pomeron cut correction. Compared to previous studies, we find a novel structure of the jet vertex which has not been considered before. We discuss a few implications of this new piece.

42 pages, 22 figures, few references and comments added, to appear on JHEP

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• High energy factorization in nucleus-nucleus collisions II - Multigluon correlations
• Production of a gluon with the exchange of three reggeized gluons in the Lipatov effective action approach
• Production of two gluons in the Lipatov effective action formalism
• Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included
• The topology of the triple Pomeron vertex in N=4 SYM
• BFKL Pomeron loop contribution in diffractive photoproduction and inclusive hadroproduction of $J/\psi$ and ${\rm Y}$
• High Energy Behavior of a Six-Point R-Current Correlator in N=4 Supersymmetric Yang-Mills Theory
• BKP states in the inclusive gluon production
• Loops in the gluon emission amplitude: reggeization from the Glauber scattering
• Laplace's method for elastic scattering diagrams within multi-particle fields model