On Higgs boson plus gluon amplitudes at one loop

TL;DR

This paper provides explicit analytic formulas for one-loop Higgs plus gluon scattering amplitudes with all gluons having the same helicity, including full top quark mass dependence, and analyzes their behavior in specific limits.

Contribution

It offers the first complete analytic expressions for these amplitudes with full mass dependence for up to five gluons, enhancing understanding of Higgs-gluon interactions.

Findings

Explicit formulas for n=3,4,5 gluons with full mass dependence.

Analysis of amplitude behavior in small Higgs momentum limit.

Insights into the structure and limits of Higgs plus gluon amplitudes.

Abstract

We present analytic results for one-loop Higgs boson + $n$-gluon amplitudes for $n\le 5$ in the full theory including all dependence on the (top) quark mass. In this paper we consider only the case where the gluons all have the same helicity. The amplitudes are expressed in simple formula and display similar structure. Their limiting behaviour in small Higgs momentum and large top mass is studied.