Three-loop vertex corrections

TL;DR

This paper reports on the recent calculation of three-loop vertex corrections applied to various quantum field theory problems, enhancing precision in theoretical predictions.

Contribution

It presents new evaluations of three-loop vertex corrections across multiple physical contexts, including form factors and effective couplings.

Findings

Improved accuracy in quark and gluon form factors.

Refined vector current matching coefficients between QCD and NRQCD.

Enhanced understanding of gluon-Higgs virtual corrections with finite top mass.

Abstract

We describe recent evaluations of three-loop vertex corrections which have been performed in the context of different physical applications: the massless quark and gluon form factor, the vector current matching coefficient between QCD and NRQCD, and the virtual corrections of the gluon-Higgs coupling with finite top quark mass.