Progress Towards Two-loop QCD Corrections to $pp\to t\bar{t} j$

TL;DR

This paper discusses ongoing efforts to compute two-loop quantum chromodynamics corrections for top-antitop plus jet production in proton-proton collisions, focusing on master integrals and modern computational techniques.

Contribution

It advances the calculation of two-loop virtual corrections in top quark production, introducing new methods for evaluating helicity amplitudes with top decays.

Findings

Progress in master integral analysis and differential equations

Development of techniques for helicity amplitude evaluation

Framework for complete two-loop correction computation

Abstract

We present the status of on-going efforts to compute the two-loop virtual corrections to $pp\to t\bar{t} j$ in the leading colour approximation. We review the recent study of the master integrals and their differential equations and present some ideas on modern techniques that can be applied to provide complete evaluation of helicity amplitudes containing information on top quark decays in the narrow width approximation.