Three-loop soft anomalous dimensions for top-quark production

TL;DR

This paper computes three-loop soft anomalous dimensions for top-quark production processes, enabling more precise resummation and higher-order correction calculations in top physics and beyond.

Contribution

It provides the first three-loop results for soft anomalous dimensions in various top-quark production channels, including new physics processes.

Findings

Results enable N$^3$LL resummation accuracy.

Calculations facilitate derivation of N$^3$LO soft-gluon corrections.

Enhance precision in theoretical predictions for top-quark processes.

Abstract

I present results through three loops for soft anomalous dimensions that control soft-gluon emission in processes involving the top quark. In particular I present results for channels in single-top production and top-pair production as well as for processes with new physics, including $tZ$, $tZ'$, $t \gamma$, and $tH^-$ production. These calculations are ingredients to resummations at N$^3$LL accuracy and to derivations of N$^3$LO soft-gluon corrections.