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

We analyse the $B\to \tau \nu$ decay in a generic two-Higgs doublet model satisfying the MFV hypothesis. In particular, we analyse under which conditions $\text{BR}(B\to \tau \nu )$ can be substantially enhanced over its SM value, taking into account the constraints of $K\to \mu \nu$, $B \rightarrow X_s \gamma$,and$B_s \rightarrow \mu^+ \mu^-$. We find that for large $\tan \beta$ values and Peccei-Quinn symmetry breaking terms of $\text{cO}(1\mathrm{/}\tan \beta )$ a sizable ($\sim 50$) enhancement of $\BR(B \rightarrow \tau \nu)$ispossible,evenfor$m_H \sim 1$ TeV.