Top Quark Mass Effects in Next-To-Next-To-Next-To-Leading Order Higgs Boson Production: Virtual Corrections

TL;DR

This paper calculates four-loop virtual corrections to the Higgs boson production process, incorporating finite top quark mass effects, to improve the precision of theoretical predictions at the LHC.

Contribution

It provides the first analytic four-loop results including top mass effects for Higgs production, advancing precision calculations in particle physics.

Findings

Analytic four-loop corrections with finite top mass effects

Enhanced theoretical accuracy for Higgs production predictions

Foundation for N3LO corrections at the LHC

Abstract

We compute four-loop corrections to the Higgs boson gluon vertex, including finite top quark mass effects. Analytic results are presented which serve as a building block for the next-to-next-to-next-to-leading order corrections to Higgs boson production at the Large Hadron Collider at CERN.