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

Abstract

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 Lμ-Lτ symmetry. We find that, despite the constraints from τ→μμμ and Bs-B¯s mixing, one can explain h→μτ, B→K∗μ+μ- and R(K) simultaneously, obtaining interesting correlations among the observables.