A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the subtraction terms I

TL;DR

This paper develops a method to integrate subtraction terms in NNLO QCD calculations of jet cross sections, facilitating more precise theoretical predictions for electron-positron annihilation processes.

Contribution

It introduces the integration of all one-parton unresolved subtraction terms, advancing the subtraction scheme for NNLO QCD jet cross section calculations.

Findings

Successfully integrated all one-parton unresolved subtraction terms.

Enhanced the accuracy of NNLO jet cross section computations.

Provided a foundation for combining subtraction terms with two-loop corrections.

Abstract

In previous articles we outlined a subtraction scheme for regularizing doubly-real emission and real-virtual emission in next-to-next-to-leading order (NNLO) calculations of jet cross sections in electron-positron annihilation. In order to find the NNLO correction these subtraction terms have to be integrated over the factorized unresolved phase space and combined with the two-loop corrections. In this paper we perform the integration of all one-parton unresolved subtraction terms.