The singular behavior of one-loop massive QCD amplitudes with one external soft gluon

TL;DR

This paper computes the one-loop correction to the soft-gluon current involving massive fermions, a key component for precise QCD calculations at colliders, especially in the soft-gluon limit.

Contribution

It provides the last missing process-independent element for numerical NNLO QCD computations involving massive fermions.

Findings

Derived the one-loop correction to the soft-gluon current with massive fermions.

Confirmed the process independence of the soft-gluon current correction.

Facilitates more accurate NNLO predictions for collider observables involving massive particles.

Abstract

We calculate the one-loop correction to the soft-gluon current with massive fermions. This current is process independent and controls the singular behavior of one-loop massive QCD amplitudes in the limit when one external gluon becomes soft. The result derived in this work is the last missing process-independent ingredient needed for numerical evaluation of observables with massive fermions at hadron colliders at the next-to-next-to-leading order.