Perturbation theory of computing QCD jet cross sections beyond NLO accuracy

TL;DR

This paper addresses extending QCD jet cross section calculations beyond NLO by introducing a general subtraction scheme applicable at any perturbative order, and reports progress in NNLO computations for electron-positron annihilation.

Contribution

It presents a novel subtraction scheme for higher-order QCD calculations and demonstrates its implementation at NNLO accuracy for electron-positron jet cross sections.

Findings

A subtraction scheme valid at any perturbative order

Successful implementation at NNLO for e+e- annihilation

Enhanced precision in QCD jet cross section predictions

Abstract

We discuss the problems that arise when one wishes to extend the existing general methods of computing radiative corrections to QCD jet cross sections to beyond next-to-leading order. Then we present a subtraction scheme that 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.