Analytic one-loop amplitudes for a Higgs boson plus four partons

TL;DR

This paper presents analytic one-loop QCD amplitudes for Higgs boson production with four partons, using effective theory and unitarity methods, providing explicit formulas and extending previous semi-numerical results.

Contribution

It introduces explicit analytic expressions for Higgs plus four partons amplitudes at one loop, utilizing generalized unitarity and on-shell recursion, and extends results to pseudoscalar Higgs scenarios.

Findings

Analytic formulas for HqqQQ and Hqqgg amplitudes are derived.

Results agree with previous semi-numerical computations.

Method enables conversion between scalar and pseudoscalar Higgs amplitudes.

Abstract

We compute the one-loop QCD amplitudes for the processes HqqQQ and Hqqgg, the latter restricted to the case of opposite-helicity gluons. Analytic expressions are presented for the color- and helicity-decomposed amplitudes. The coupling of the Higgs boson to gluons is treated by an effective interaction in the limit of large top quark mass. The Higgs field is split into a complex field phi and its complex conjugate phi-dagger. The split is useful because amplitudes involving phi have different analytic structure from those involving phi-dagger. We compute the cut-containing pieces of the amplitudes using generalized unitarity. The remaining rational parts are obtained by on-shell recursion. Our results for HqqQQ agree with previous semi-numerical computations. We also show how to convert existing semi-numerical results for the production of a scalar Higgs boson into analogous results for a pseudoscalar Higgs boson.