Subtraction method of computing QCD jet cross sections at NNLO accuracy

TL;DR

This paper introduces a generalized subtraction method for calculating QCD jet cross sections at NNLO accuracy, adaptable to any order in perturbation theory, with implementation details for electron-positron annihilation.

Contribution

It develops a novel subtraction scheme for NNLO QCD calculations that can be extended to higher orders, improving precision in jet cross section computations.

Findings

Successfully implemented for electron-positron annihilation

Achieves NNLO accuracy in jet cross section calculations

Framework adaptable to higher-order perturbative QCD computations

Abstract

We present a general subtraction method for computing radiative corrections to QCD jet cross sections at next-to-next-to-leading order accuracy. The steps needed to set up this subtraction scheme are the same as those used in next-to-leading order computations. However, all steps need non-trivial modifications, which we implement such that that those can be defined at any order in perturbation theory. We give a status report of the implementation of the method to computing jet cross sections in electron-positron annihilation at the next-to-next-to-leading order accuracy.