$ΔF=2$ processes in the MSSM in large $\tanβ$ limit

Abstract

We discuss corrections to $ΔM_{B_d}$, $ΔM_{B_s}$ and to the CP violation parameter $ε$ in two examples of (generalized) minimal flavour violation models: 2HDM and MSSM in the large $\tanβ$ limit. We show that for $H^+$ not too heavy, $ΔM_{B_s}$ in the MSSM with heavy sparticles can be substantially smaller than in the SM due the charged Higgs box contributions and in particular due to the growing like $\tan^4β$ contribution of the double penguin diagrams involving neutral Higgs boson exchanges.