Antenna subtraction for gluon scattering at NNLO

TL;DR

This paper extends the antenna subtraction method to handle gluon scattering at NNLO, specifically for two-jet production at hadron colliders like the LHC, enabling precise calculations of infrared singularities.

Contribution

It develops a new subtraction term framework for initial state gluons at NNLO, improving the accuracy of gluonic scattering amplitude computations.

Findings

Successfully constructed subtraction terms for initial state gluons.

Numerical validation shows accurate approximation of matrix elements.

Framework applicable to LHC two-jet production processes.

Abstract

We use the antenna subtraction method to isolate the double real radiation infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. The antenna subtraction framework 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 two 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 the six-gluon tree-level process 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.