Two Higgs Doublet Models and $b\to s$ exclusive decays

Abstract

We computed the leading order Wilson coefficients relevant to all the exclusive $b\to s{\ell }^{+}{\ell }^{-}$ decays in the framework of Two Higgs Doublet Model (2HDM) with a softly broken ${\mathbb{Z}}_2$ symmetry by including the $\mathcal{O}(m_b)$ 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 $\mathcal{B}(B_s\to {\mu }^{+}{\mu }^{-})$ and $\mathcal{B}(B\to K{\mu }^{+}{\mu }^{-}{)}_{\mathrm{high}-q^2}$, for which the hadronic uncertainties are well controlled, and discussed their impact on various types of 2HDM. A brief discussion of the decays with $\tau$-leptons in the final state is also made.

37 pages, 9 figures, version published in EPJC