One-loop soft anomalous dimension matrices for $t\bar t j$ hadroproduction

TL;DR

This paper computes one-loop soft anomalous dimension matrices for top-antitop plus jet production at hadron colliders, advancing resummation techniques to improve cross section predictions beyond NLO accuracy.

Contribution

It provides the first calculation of one-loop corrections to soft anomalous dimensions for $t\bar{t}j$ production, enabling more precise resummation of soft-gluon effects.

Findings

Enables improved resummation of soft-gluon logarithms.

Facilitates higher-accuracy cross section calculations.

Advances theoretical tools for top-quark physics.

Abstract

We calculate the one-loop corrections to the soft anomalous dimension matrices for the production of a top-antitop quark pair in association with a jet at hadron colliders. This is a step forward towards implementing a procedure for the resummation of soft-gluon emission logarithms for the $t\bar{t}j + X$ hadroproduction process, that will enable the improvement of the accuracy of the $t\bar{t} j + X$ cross sections, beyond the current degree of knowledge. The latter, so far, has reached the next-to-leading order (NLO) level, complemented by the accuracy of the Shower Monte Carlo approaches used in matching the NLO computations to parton showers (PS) and by merging with matrix elements with a different number of light jets.