Production of a gluon with the exchange of three reggeized gluons in the Lipatov effective action approach

TL;DR

This paper calculates the gluon production amplitude involving three reggeized gluons using Lipatov's effective action, demonstrating vertex transversality and singularity cancellation, relevant for nuclear gluon production cross-sections.

Contribution

It introduces a new vertex for gluon emission with three reggeons and demonstrates its properties within Lipatov's framework, advancing theoretical understanding of gluon production mechanisms.

Findings

Vertex for gluon emission with three reggeons calculated

Singularities cancel in the sum of contributions

Results applicable to gluon production in nuclear collisions

Abstract

In the Regge kinematics the amplitude for gluon production off three scattering centers is found in the Lipatov effective action technique. The vertex for gluon emission with the reggeon splitting in three reggeons is calculated and its transversality is demonstrated. It is shown that in the sum of all contributions terms containing principal value singularities are cancelled and substituted by the standard Feynman poles. These results may be used for calculation of the inclusive cross-section for gluon production on two nucleons in the nucleus.