MHV Rules for Higgs Plus Multi-Parton Amplitudes
S.D. Badger, E. W. N. Glover, Valentin V. Khoze (Durham U., IPPP)
TL;DR
This paper develops MHV rules to efficiently compute Higgs boson and multi-parton scattering amplitudes, including explicit formulas for NMHV amplitudes and a recursive approach for all non-MHV cases.
Contribution
It introduces a recursive MHV rule framework for Higgs plus multi-parton amplitudes, extending existing methods to include quarks and gluons.
Findings
Explicit formulas for Higgs NMHV amplitudes with three negative helicity partons.
A recursive formulation valid for all non-MHV amplitudes.
Numerical agreement with known Higgs + n-parton amplitudes, often with shorter expressions.
Abstract
We present MHV-rules for constructing perturbative amplitudes for a Higgs boson and an arbitrary number of partons. We give explicit expressions for amplitudes involving a Higgs and three negative helicity partons and any number of positive helicity partons - the NMHV amplitudes. We also present a recursive formulation of MHV rules that incorporates the Higgs, quarks and gluons. The recursion relations are valid for all non-MHV amplitudes. The general results agree numerically with all of the available Higgs + n-parton amplitudes and in some cases provide considerably shorter expressions.
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