Multi-gluon helicity amplitudes with one off-shell leg within high energy factorization

TL;DR

This paper develops a new gauge-invariant method for calculating multi-gluon scattering amplitudes with one off-shell gluon leg in high energy processes, verified through helicity techniques and comparisons with existing approaches.

Contribution

It introduces a novel prescription based on Slavnov-Taylor identities for gauge-invariant tree-level amplitudes with off-shell gluons in high energy factorization.

Findings

Derived analytical helicity amplitudes for two gluons

Validated the formalism with multiple gluon final states

Compared the new method with Lipatov's effective action approach

Abstract

Basing on the Slavnov-Taylor identities, we derive a new prescription to obtain gauge invariant tree-level scattering amplitudes for the process g*g->Ng within high energy factorization. Using the helicity method, we check the formalism up to several final state gluons, and we present analytical formulas for the the helicity amplitudes for N=2. We also compare the method with Lipatov's effective action approach.