General formulation of the sector-improved residue subtraction

TL;DR

This paper presents a new sector-improved residue subtraction scheme, STRIPPER, which extends to arbitrary multiplicities, providing a general framework for calculating NNLO cross sections in perturbative QCD.

Contribution

It introduces a four-dimensional formulation of the sector improved residue subtraction scheme STRIPPER, extending its applicability to arbitrary multiplicities for NNLO calculations.

Findings

Provides a general framework for NNLO cross section calculations

Extends the STRIPPER scheme to arbitrary multiplicities

Facilitates more precise predictions in perturbative QCD

Abstract

The main theoretical tool to provide precise predictions for scattering cross sections of strongly interacting particles is perturbative QCD. Starting at next-to-leading order (NLO) the calculation suffers from unphysical IR-divergences that cancel in the final result. At NLO there exist general subtraction algorithms to treat these divergences during a calculation. Since the LHC demands for more precise theoretical predictions, general subtraction methods at next-to-next-to-leading order (NNLO) are needed. This proceeding outlines the four-dimensional formulation of the sector improved residue subtraction. The subtraction scheme STRIPPER and in particular its extension to arbitrary multiplicities is explained. Therefore, it furnishes a general framework for the calculation of NNLO cross sections in perturbative QCD.