Top quark mass corrections to single and double Higgs boson production in gluon fusion

TL;DR

This paper investigates how the top quark mass influences QCD amplitudes in gluon fusion processes for single and double Higgs boson production, providing high-order corrections to improve theoretical predictions.

Contribution

It introduces a new expansion method for large top quark mass to compute higher-order QCD corrections in Higgs production processes.

Findings

Computed NNLO real and virtual corrections for double Higgs production.

Calculated virtual corrections to single Higgs production at N3LO.

Reduced complex Feynman diagrams to simpler integrals with top mass dependence.

Abstract

In this talk we discuss recent computations of the top quark mass dependence of QCD amplitudes describing Higgs boson production in gluon fusion. We compute terms in the expansion for a large top quark mass, which reduces the Feynman diagrams to products of massless integrals and massive tadpole integrals which contain the top mass dependence. In particular we discuss the real and virtual corrections to double Higgs production at NNLO, and the virtual corrections to single Higgs production at N3LO.