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

The LHC has observed, so far, 3 deviations from the Standard Model (SM) predictions in flavor observables: LHCb reported anomalies in B→K*μ(+)μ(-) and R(K)=B→Kμ(+)μ(-)/B→Ke(+)e(-), while CMS found an excess in h→μτ. 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(μ)-L(τ) symmetry. We find that, despite the constraints from τ→μμμ and B(s)-B¯(s) mixing, one can explain h→μτ, B→K*μ(+)μ(-) and R(K) simultaneously, obtaining interesting correlations among the observables.