NNLO real corrections to gluon scattering

TL;DR

This paper develops a method using antenna subtraction to isolate infrared singularities in NNLO gluon scattering amplitudes, enabling precise calculations for processes like two-jet production at colliders.

Contribution

It extends the antenna subtraction framework to initial state particles, specifically addressing NNLO corrections in gluonic processes at hadron colliders.

Findings

Successfully constructs subtraction terms for unresolved gluonic contributions.

Numerical validation shows the subtraction accurately approximates matrix elements.

Applicable to two-jet production at the LHC.

Abstract

In this talk we describe a procedure for isolating the infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. We use the antenna subtraction framework which has been successfully applied to the calculation of NNLO corrections to the 3-jet cross section and related event shape distributions in electron-positron annihilation. Here we consider processes with coloured particles in the initial state, and in particular two-jet production at hadron colliders such as the Large Hadron Collider (LHC). We construct a subtraction term that describes the single and double unresolved contributions from gluonic processes using antenna functions with initial state partons and show numerically that the subtraction term correctly approximates the matrix elements in the various single and double unresolved configurations.