Analytic results for the one-loop NMHV Hqqgg amplitude

TL;DR

This paper analytically computes the one-loop NMHV amplitude involving a Higgs boson, quark-antiquark pair, and two gluons with negative helicity, expanding the understanding of Higgs to 4-parton transitions.

Contribution

It provides the first complete analytic one-loop results for Higgs to 4-parton amplitudes in the NMHV case using an effective Lagrangian approach.

Findings

All Higgs to 4-parton one-loop amplitudes are now known analytically.

The calculation uses an effective Lagrangian valid at large top quark mass.

The results facilitate further theoretical and phenomenological studies.

Abstract

We compute the one-loop amplitude for a Higgs boson, a quark-antiquark pair and a pair of gluons of negative helicity, i.e. for the next-to-maximally helicity violating (NMHV) case, A(H, qbar-, q+, g-, g-). The calculation is performed using an effective Lagrangian which is valid in the limit of very large top quark mass. As a result of this paper all amplitudes for the transition of a Higgs boson into 4 partons are now known analytically at one-loop order.