IR subtraction schemes: integrating the counterterms at NNLO in QCD

TL;DR

This paper reviews a subtraction scheme for NNLO QCD calculations, focusing on analytical and numerical evaluation methods for integrated counterterms using Mellin-Barnes, harmonic summation, and sector decomposition techniques.

Contribution

It introduces a versatile subtraction scheme for higher-order QCD corrections and details the computational methods for evaluating the associated integrated counterterms.

Findings

Effective analytical and numerical evaluation methods demonstrated

Mellin-Barnes, harmonic summation, and sector decomposition successfully applied

Framework facilitates precise NNLO jet cross section computations

Abstract

We briefly review a subtraction scheme for computing radiative corrections to QCD jet cross sections that can be defined at any order in perturbation theory. Hereafter we discuss the computational methods used to evaluate analytically and numerically the integrated counterterms arising from such a subtraction scheme. Basically these methods the Mellin-Barnes (MB) representations technique together with the harmonic summation and the sector decomposition.