The two-loop QCD amplitude gg -> h,H in the Minimal Supersymmetric Standard Model

TL;DR

This paper computes the two-loop QCD amplitude for gluon-gluon to Higgs interactions in the MSSM, introducing a novel numerical method and analyzing renormalization subtleties, with results relevant for supersymmetry phenomenology.

Contribution

It presents the first two-loop QCD amplitude calculation for gg -> h,H in the MSSM using a new numerical approach and discusses renormalization subtleties across different schemes.

Findings

Numerical results for supersymmetry breaking scenarios.

Higgs signal suppression in MSSM compared to Standard Model.

Analysis of renormalization scheme effects.

Abstract

We present the two-loop QCD amplitude for the interaction of two gluons and a CP-even Higgs boson in the Minimal Supersymmetric Standard Model. We apply a novel numerical method for the evaluation of Feynman diagrams with infrared, ultraviolet and threshold singularities. We discuss subtleties in the ultraviolet renormalization of the amplitude with conventional dimensional regularization, dimensional reduction, and the four dimensional helicity scheme. Finally, we show numerical results for scenarios of supersymmetry breaking with a rather challenging phenomenology in which the Higgs signal in the MSSM is suppressed in comparison to the Standard Model.