The role of charged Higgs boson decays in the determination of tan\beta-like parameters

TL;DR

This paper revisits Yukawa coupling parameterizations in the two Higgs doublet model, derives relations between notations, and uses flavor observables to constrain charged Higgs parameters, highlighting differences between model types.

Contribution

It provides a unified analysis of Yukawa parameterizations, derives relations between different notations, and constrains charged Higgs parameters using flavor observables.

Findings

Bounds on charged Higgs parameters from flavor data

Differences in decay ratios between model types

Relations between various Yukawa coupling parameterizations

Abstract

The most commonly used parameterizations of the Yukawa couplings in the two Higgs doublet model are revisited. Their similitudes and differences are emphasized and relations between the different notations used in the literature are derived. Using these relations, bounds on the space of parameters of the charged Higgs sector of the two Higgs doublet model are obtained. These constraints are obtained from flavor observables like the measurement of B -> Xs \gamma and the recent measurement of Bs -> \mu+ \mu- from LHCb. The ratio R_{H+}=B(H+ -> \tau^+ \nu_\tau)/B(H+ -> t b) is evaluated for the two Higgs doublet model type-III and type-II, and their differences are quantified.