Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO

TL;DR

This paper presents a method for fully analytically integrating infrared counterterms in NNLO QCD calculations, simplifying the process of handling soft and collinear radiation in high-energy particle collisions.

Contribution

It introduces a novel analytic integration approach within local sector subtraction for NNLO QCD, applicable to any number of massless final-state partons.

Findings

Analytic expressions for double-real and real-virtual counterterms derived.

Phase-space mappings simplify the integration process.

Results facilitate more efficient NNLO QCD computations.

Abstract

Within the framework of local analytic sector subtraction, we present the full analytic integration of double-real and real-virtual local infrared counterterms that enter NNLO QCD computations with any number of massless final-state partons. We show that a careful choice of phase-space mappings leads to simple analytic results, including non-singular terms, that can be obtained with conventional integration techniques.