μ-τ-philic Higgs doublet model confronted with the muon g-2, τ decays, and LHC data

In the framework of the two-Higgs-doublet model, one Higgs doublet may have the same interactions with fermions as the standard model, and another Higgs doublet only has the mu-tau lepton flavor violation interactions. Assuming that the Yukawa matrices are real and symmetrical, we impose various relevant theoretical and experimental constraints, and find that the excesses of muon g - 2 and lepton flavor universality in the tau decays can be simultaneously explained in the region of small mass splittings between the heavy charge parity (CP)-even Higgs and the CP-odd Higgs (m(A) > m(H)). The multilepton event searches at the LHC can sizably reduce the mass ranges of extra Higgses, and m(H) is required to be larger than 560 GeV.