Towards systematic exploration of multi-Higgs-doublet models

TL;DR

This paper discusses systematic methods to explore multi-Higgs-doublet models, which are beyond the Standard Model theories with complex scalar sectors, focusing on models near large discrete symmetries to address their vast parameter space and mathematical challenges.

Contribution

It proposes directions for systematically exploring multi-Higgs-doublet models near large discrete symmetries, addressing the complexity of their parameter space.

Findings

Identifies challenges in exploring multi-Higgs-doublet models.

Suggests systematic exploration methods near discrete symmetries.

Highlights potential for richer scalar sector phenomenology.

Abstract

Conservative bSM models with rich scalar sector, such as multi-Higgs-doublet models, can easily accommodate the SM-like properties of the 125 GeV scalar observed at the LHC. Possessing a variety of bSM signals, they are worth investigating in fuller detail. Systematic study of these models is hampered by the highly multi-dimensional parameter space and by mathematical challenges. I outline some directions along which multi-Higgs-doublet models in the vicinity of a large discrete symmetry can be systematically explored.