The one-loop gluon amplitude for heavy-quark production at NNLO

TL;DR

This paper calculates the one-loop gluon amplitude for heavy-quark production in QCD, providing a crucial component for precise NNLO predictions at hadron colliders, using advanced regularization and integrand techniques.

Contribution

It presents the first complete calculation of the one-loop amplitude for gg→Qar{Q} with arbitrary quark masses up to order  in dimensional regularization, advancing theoretical precision.

Findings

Provides the one-loop amplitude up to  order in  for arbitrary quark masses.

Uses novel integrand techniques to simplify the calculation.

Enables more accurate NNLO cross-section predictions for heavy-quark production.

Abstract

We compute the one-loop QCD amplitude for the process gg-->Q\bar{Q} in dimensional regularization through order \epsilon^2 in the dimensional regulator and for arbitrary quark mass values. This result is an ingredient of the NNLO cross-section for heavy quark production at hadron colliders. The calculation is performed in conventional dimensional regularization, using well known reduction techniques as well as a method based on recent ideas for the functional form of one-loop integrands in four dimensions.