Automatised matching between two scalar sectors at the one-loop level

TL;DR

This paper introduces an automated method for precise one-loop level matching between two scalar sectors in general models, enhancing the analysis of theories with heavy new physics and multiple scales.

Contribution

Extension of the SARAH package to perform automatic one-loop matching between scalar sectors for general models, including multiple scales and heavy states.

Findings

Reproduces key results for split- and high-scale supersymmetry.

Enables study of models with very heavy states and multiple matching scales.

Provides model files for MSSM and NMSSM with various hierarchies.

Abstract

Nowadays, one needs to consider seriously the possibility that a large separation between the scale of new physics and the electroweak scale exists. Nevertheless, there are still observables in this scenario, in particular the Higgs mass, which are sensitive to the properties of the UV theory. In order to obtain reliable predictions for a model which involves very heavy degrees of freedom, the precise matching to an effective theory is necessary. While this has been so far only studied for a few selected examples, we present an extension of the ${\tt Mathematica}$ package ${\tt SARAH}$ to perform automatically the matching between two scalar sectors at the full one-loop level for general models. We show that we can reproduce all important results for commonly studied models like split- or high-scale supersymmetry. One can now easily go beyond that and study new ideas involving very heavy states, where the effective model can either be just the standard model or an extension of it. Also scenarios with several matching scales can be easily considered. We provide model files for the MSSM with seven different mass hierarchies as well as two high-scale versions of the NMSSM. Moreover, it is explained how new models are implemented.