# Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons

## TL;DR

This paper introduces a general solution to the Goldstone Boson Catastrophe in Higgs mass calculations, implemented in SARAH, applicable to both supersymmetric and non-supersymmetric models, improving accuracy and reliability.

## Contribution

The authors develop and implement a universal method to resolve the Goldstone Boson Catastrophe in loop calculations, validated in the Standard Model and applied to various beyond Standard Model theories.

## Key findings

- Validated the method in the Standard Model with excellent agreement.
- Applied the approach to Split SUSY, NMSSM, 2HDM, and Georgi-Machacek models.
- Showed large loop corrections in non-supersymmetric models before perturbativity bounds.

## Abstract

The calculation of the Higgs mass in general renormalisable field theories has been plagued by the so-called "Goldstone Boson Catastrophe", where light (would-be) Goldstone bosons give infra-red divergent loop integrals. In supersymmetric models, previous approaches included a workaround that ameliorated the problem for most, but not all, parameter space regions; while giving divergent results everywhere for non-supersymmetric models! We present an implementation of a general solution to the problem in the public code SARAH, along with new calculations of some necessary loop integrals and generic expressions. We discuss the validation of our code in the Standard Model, where we find remarkable agreement with the known results. We then show new applications in Split SUSY, the NMSSM, the Two-Higgs-Doublet Model, and the Georgi-Machacek model. In particular, we take some first steps to exploring where the habit of using tree-level mass relations in non-supersymmetric models breaks down, and show that the loop corrections usually become very large well before naive perturbativity bounds are reached.