Pole prescription of higher order induced vertices in Lipatov's QCD effective action

TL;DR

This paper proposes a pole prescription for higher order induced vertices in Lipatov's QCD effective action, enabling improved calculations of loop corrections in high energy QCD processes.

Contribution

It introduces a novel pole prescription that maintains symmetry properties, facilitating higher order computations within Lipatov's effective action framework.

Findings

Explicit third-order results are provided.

An iterative method for higher orders is proposed.

The prescription preserves vertex symmetry.

Abstract

We investigate Lipatov's QCD effective action for the QCD high energy limit and propose a pole prescription for higher order induced vertices. The latter can be used in the evaluation of loop corrections to high energy factorized matrix elements within the effective action approach. The proposed prescription respects the symmetry properties of the unregulated vertices. Explicit results are presented up to third order in the gauge coupling, while an iterative procedure for higher orders is proposed.