Helicity Spinor Methods and Tree Level QCD Corrections in Higgs Production via Weak Boson Fusion

TL;DR

This paper develops a helicity spinor method to analytically compute tree-level amplitudes for Higgs production via Weak Boson Fusion, including QCD corrections, resulting in simplified expressions that improve upon traditional Feynman diagram calculations.

Contribution

It introduces a massive generalization of the BCFW recursion scheme for Higgs production amplitudes, providing more compact and efficient results than conventional methods.

Findings

Explicit amplitude expressions with two gluons emission

Successful application of the generalized BCFW recursion scheme

Results agree with and simplify traditional Feynman diagram calculations

Abstract

We calculate analytically tree level amplitudes for Higgs production via Weak Bosons Fusion (WBF) and QCD corrections to the Standard Model prediction (SM) by using the helicity spinor formalism. We provide the explicit expression for the amplitude with two gluons emission in the final state together with massless final two quarks. The massive generalization of the Britto-Cachazo-Feng-Witten (BCFW) recursion scheme is applied successfully obtaining compact results which agree with, and overcome in simplicity, the conventional Feynman diagrams approach.