Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond

TL;DR

This paper derives universal infrared factorization formulas for tree-level QCD amplitudes valid at any order, explicitly computing the singular factors at next-to-next-to-leading order, enhancing understanding of infrared divergences in QCD.

Contribution

It introduces a general framework for infrared factorization at any perturbative order and explicitly calculates the universal infrared factors at NNLO.

Findings

Derived all infrared factorization formulas at any order.

Explicitly computed infrared singularities at NNLO.

Provides tools for higher-order QCD calculations.

Abstract

We study the infrared behaviour of tree-level QCD amplitudes and we derive infrared-factorization formulae that are valid at any perturbative order. We explicitly compute all the universal infrared factors that control the singularities in the various soft and/or collinear limits at O(as^2).