The Higgs mass in the CP violating MSSM, NMSSM, and beyond

TL;DR

This paper presents an automated method for calculating the Higgs mass at two-loop level in complex supersymmetric models, using SARAH and SPheno, including new results for the complex MSSM and NMSSM.

Contribution

It introduces a generic framework for two-loop Higgs mass calculations in complex SUSY models, extending existing tools and providing new results for specific models.

Findings

Validated the calculation against existing results in the DR-bar scheme.

Derived new Higgs mass results for the constrained complex MSSM.

Analyzed the impact of CP phases on two-loop corrections in the NMSSM.

Abstract

We discuss the automatised calculation of the Higgs mass in renormalisable supersymmetric models with complex parameters at the two-loop level. Our setup is based on the public codes SARAH and SPheno, which can now compute the two-loop corrections to masses of all neutral scalars in such theories. The generic ansatz for these calculations and the handling of the `Goldstone Boson catastrophe' is described. It is shown that we find perfect agreement with other existing two-loop calculations performed in the DR-bar scheme. We also use the functionality to derive results for the MSSM and NMSSM not available before: the Higgs mass in the constrained version of the complex MSSM, and the impact of CP phases in the two-loop corrections beyond order alpha-strong alpha-top for the scale invariant NMSSM are briefly analysed.