CWebGen -- A tool to study colour structure of scattering amplitudes in IR limit

TL;DR

This paper introduces CWebGen, a Mathematica package designed to efficiently compute web mixing matrices for studying infrared singularities in QCD, facilitating advanced calculations of the Soft function.

Contribution

The paper presents a new computational tool and demonstrates its application to state-of-the-art calculations of web mixing matrices in perturbative QCD.

Findings

Efficient calculation of web mixing matrices using the package

Successful application to complex QCD soft function computations

Enhancement of computational methods in infrared singularity analysis

Abstract

Infrared singularities in perturbative Quantum Chromodynamics (QCD) are captured by the Soft function, which can be calculated efficiently using Feynman diagrams known as webs. The starting point for calculating Soft function using webs is to compute the web mixing matrices using a well known replica trick algorithm. We present a package implemented in Mathematica to calculate these mixing matrices. Along with the package, we provide several state-of-the art computations.