Two Higgs doublet models and exclusive decays

We computed the leading order Wilson coefficients relevant to all the exclusive decays in the framework of the two Higgs doublet model (2HDM) with a softly broken symmetry by including the corrections. We elucidate the issue of appropriate matching between the full and the effective theory when dealing with the (pseudo-)scalar operators for which keeping the external momenta different from zero is necessary. We then make a phenomenological analysis by using the measured and , for which the hadronic uncertainties are well controlled, and we discuss their impact on various types of 2HDM. A brief discussion of the decays with -leptons in the final state is provided too.