B->tau nu in multi-Higgs models with MFV

We analyse the $B \rightarrow τν$ decay in a generic two-Higgs doublet model satisfying the MFV hypothesis. In particular, we analyse under which conditions $\BR(B \rightarrow τν)$ can be substantially enhanced over its SM value, taking into account the constraints of $K \rightarrow μν$, $B \rightarrow X_s γ$, and $B_s \rightarrow μ^+ μ^-$. We find that for large $\tanβ$ values and Peccei-Quinn symmetry breaking terms of $\cO(1/\tanβ)$ a sizable ($\sim 50$) enhancement of $\BR(B \rightarrow τν)$ is possible, even for $m_H \sim 1$ TeV.

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