Explaining h → μ±τ∓, B → K*μ+μ-, and B → Kμ+μ-/B → Ke+e- in a Two-Higgs-Doublet Model with Gauged Lμ-Lτ

The LHC has observed, so far, 3 deviations from the Standard Model (SM) predictions in flavor observables: LHCb reported anomalies in B -> K*mu(+)mu(-) and R(K) = B -> K*mu(+)mu(-)/B -> Ke(+)e(-), while CMS found an excess in h -> mu tau. We show, for the first time, how these deviations from the SM can be explained within a single well- motivated model: a two-Higgs-doublet model with gauged L-mu-L-tau symmetry. We find that, despite the constraints from tau ->mu mu mu and B-s-(B) over bar (s) mixing, one can explain h -> mu tau, B -> K*mu(+)mu(-) and R(K) simultaneously, obtaining interesting correlations among the observables.