Flavor Physics constrains on a $\mathbb{Z}_5$-3HDM

TL;DR

This paper explores a Three Higgs Doublet Model with a $ ext{Z}_5$ flavor symmetry, analyzing its scalar sector, flavor constraints, and potential for light charged Higgs particles consistent with experimental data.

Contribution

It provides a comprehensive analysis of the scalar sector and flavor constraints in a $ ext{Z}_5$-symmetric 3HDM, highlighting regions with a SM-like Higgs and viable light charged Higgs.

Findings

Existence of parameter regions with a SM-like Higgs and heavy other Higgs bosons.

Identification of parameter space with a light charged Higgs (~150 GeV) compatible with experiments.

The model can accurately describe current B-physics experimental data.

Abstract

We present the general behavior of the scalar sector in a Three Higgs Doublet Model (3HDM) with a $\mathbb{Z}_5$ flavor symmetry. There are regions of the parameters space where it is possible to get a SM-like Higgs boson with the other Higgs bosons being heavier, thus decoupled from the SM, and without relevant contributions to any flavor observables. There are however other more interesting regions of parameter space with a light charged Higgs ($m_{H^\pm} \sim $ 150 GeV) that are consistent with experimental results and whose phenomenological consequences could be interesting. We present a numerical analysis of the main $B$-physics constraints and show that the model can correctly describe the current experimental data.