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

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.