Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass

TL;DR

This paper computes three-loop virtual corrections to Higgs boson production via gluon fusion, incorporating finite top quark mass effects through asymptotic expansion, showing good convergence near twice the top mass.

Contribution

It provides the first detailed three-loop virtual correction calculations including finite top mass effects using asymptotic expansion techniques.

Findings

Five terms in the expansion parameter were evaluated.

Good convergence observed up to Higgs mass near twice the top quark mass.

Enhances precision of Higgs production predictions in gluon fusion.

Abstract

In this letter we present the three-loop virtual corrections to the Higgs boson production in the gluon fusion channel where finite top quark mass effects are taken into account. We perform an asymptotic expansion and manage to evaluate five terms in the expansion parameter $M_H^2/M_t^2$. A good convergence is observed almost until $M_H\approx 2M_t$.