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

TL;DR

This paper investigates the impact of two-Pomeron exchange corrections on inclusive 1-jet production in QCD, revealing a novel jet vertex structure due to reggeization effects and modifications of AGK cutting rules.

Contribution

It introduces a new structure for the jet production vertex considering two-Pomeron cuts, advancing understanding of multiple interactions in small-x QCD processes.

Findings

Modified AGK cutting rules due to gluon reggeization

Calculation of the jet production vertex with two-Pomeron corrections

Identification of a novel jet vertex structure

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.