We discuss the connections between the recently observed Higgs-like particle and rare $B$ decays in the context of two Higgs doublet models (2HDMs). The measured decays of the Higgs boson to fermions and gauge bosons, along with the observation of the decay $B_s\to {\mu }^{+}{\mu }^{-}$, place stringent restrictions on the allowed parameter space of two Higgs doublet models. Future measurements of $h^0\to \gamma \gamma$ can potentially exclude Type I 2HDMs, while the parameters of other 2HDMs are already severely restricted. The recent observations of the $h^0\to {\tau }^{+}{\tau }^{-}$ and $h^0\to b\overline{b}$ decays further constrain the models.

• Received 7 January 2013

DOI:https://doi.org/10.1103/PhysRevD.87.055016