Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations

TL;DR

This paper develops integrated antenna functions involving massive fermions for NNLO calculations of top-antitop production, improving subtraction methods for double real corrections in hadronic processes.

Contribution

It introduces new integrated initial-final antenna functions with massive fermions, essential for precise NNLO top quark pair production calculations.

Findings

Derived integrated antenna functions for massive fermions.

Enhanced subtraction scheme for NNLO top pair production.

Facilitated more accurate theoretical predictions.

Abstract

We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. These antennae are needed in the subtraction terms required to evaluate the double real corrections to $t\bar{t}$ hadronic production at the NNLO level stemming from the partonic processes $q\bar{q}\to t\bar{t}q'\bar{q}'$ and $gg\to t\bar{t}q\bar{q}$.