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

TL;DR

The two-loop QCD amplitude for the interaction of two gluons and a CP-even Higgs boson in the minimal supersymmetric standard model (MSSM) is presented and a novel numerical method for the evaluation of Feynman diagrams with infrared, ultraviolet, and threshold singularities is applied.

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.

Figures (3)

• Figure 1: Sample of two-loop diagrams containing up to four different mass parameters in the propagators.
• Figure 2: The squared UV and IR renormalized amplitude for a light Higgs boson through ${\cal O} (\alpha_s^3)$ and the corresponding K-factors
• Figure 3: The squared UV and IR renormalized amplitude for a heavy neutral Higgs boson through ${\cal O} (\alpha_s^3)$ and the corresponding K-factors