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The LHC observed so far three deviations from the Standard Model (SM)predictions in flavour observables: LHCb reported anomalies in $B\to K^*\mu^+\mu^-$ and $R(K)=B\to K \mu^+\mu^-/B\to K e^+e^-$ while CMS found anexcess in $h\to\mu\tau$. We show, for the first time, how these deviations fromthe SM can be explained within a single well-motivated model: atwo-Higgs-doublet model with gauged $L_\mu-L_\tau$ symmetry. We find that,despite the constraints from $\tau\to\mu\mu\mu$ and $B_s$--$\overline{B}_s$mixing, one can explain $h \to\mu\tau$, $B\to K^* \mu^+\mu^-$ and $R(K)$simultaneously, obtaining interesting correlations among the observables.

physical review letters

Explaining $h\to\mu^\pm\tau^\mp$, $B\to K^* \mu^+\mu^-$ and $B\to K  \mu^+\mu^-/B\to K e^+e^-$ in a two-Higgs-doublet model with gauged  $L_\mu-L_\tau$