Color structure for soft gluon resummation - a general recipe

TL;DR

The paper introduces a general method for calculating color structures in soft gluon resummation for processes with multiple colored partons, simplifying calculations using a basis inspired by large N_c limits.

Contribution

It presents a new general formalism and basis for calculating color structures in soft gluon resummation applicable to any number of colored partons.

Findings

Recalculated soft anomalous dimension matrices for specific processes.

Demonstrated simplification of calculations using the new basis.

Provided a versatile strategy for complex QCD processes.

Abstract

A strategy for calculating the color structure needed for soft gluon resummation for processes with any number of colored partons is introduced using a N_c --> infinity inspired basis. In this basis a general formalism can be found at the same time as the calculations are simplified. The advantages are illustrated by recalculating the soft anomalous dimension matrix for the processes gg --> gg, q\qbar --> q \qbar g and q\qbar --> ggg.