The real radiation antenna functions for $S\rightarrow Q\bar{Q}gg$ at NNLO QCD

TL;DR

This paper derives and analyzes the real radiation antenna functions for heavy quark pair production with two gluons at NNLO QCD, providing explicit expressions and their integrated forms in harmonic polylogarithms.

Contribution

It introduces explicit expressions for real radiation antenna functions involving heavy quarks and gluons at NNLO, including their integrated forms in harmonic polylogarithms.

Findings

Explicit antenna functions for $S\rightarrow Q\bar{Q}gg$ at NNLO

Analytic expressions for integrated antenna functions

Discussion of infrared singular behaviour

Abstract

We analyze, in the antenna subtraction framework, the real radiation antenna functions for processes involving the production of a pair of heavy quarks and two gluons by an uncolored initial state at NNLO QCD. We provide explicit expressions for these functions and discuss their infrared singular behaviour. Our main results are the corresponding integrated antenna functions which are computed analytically. They are expressed in terms of harmonic polylogarithms.