Two-loop $gg \to Hg$ amplitude mediated by a nearly massless quark

TL;DR

This paper analytically computes the two-loop gluon fusion amplitude for Higgs production mediated by a nearly massless quark, enhancing the theoretical understanding of interference effects in Higgs transverse momentum distribution.

Contribution

It provides the first analytical calculation of the two-loop $gg o Hg$ amplitude with a nearly massless quark, crucial for refining Higgs production predictions.

Findings

Improves the theoretical description of top-bottom interference in Higgs production.

Enhances the accuracy of Higgs transverse momentum distribution predictions.

Provides a key ingredient for future precision Higgs physics studies.

Abstract

We analytically compute the two-loop scattering amplitude $gg \to Hg$ assuming that the mass of the quark, that mediates the ggH interaction, is vanishingly small. Our computation provides an important ingredient required to improve the theoretical description of the top-bottom interference effect in Higgs boson production in gluon fusion, and to elucidate its impact on the Higgs boson transverse momentum distribution.