A µ-τ -philic Higgs doublet confronted with the muon g-2, τ decays and LHC data Lei Wang 1 , Yang Zhang 2 1 Department of Physics, Yantai University, Yantai 264005, P. R. China 2 ARC Centre of Excellence for Particle Physics at the Tera-scale, School of Physics and Astronomy, Monash University, Melbourne, Victoria 3800, Australia Abstract In the framework of the two-Higgs-doublet model, one Higgs doublet may have the same inter- actions with fermions as the SM, and another Higgs doublet only has the µ-τ LFV interactions. Assuming that the Yukawa matrices are real and symmetrical, we impose various relevant theo- retical and experimental constraints, and find that the excesses of muon g - 2 and lepton flavour universality in the τ decays can be simultaneously explained in the region of small mass splittings between the heavy CP-even Higgs and the CP-odd Higgs (m A >m H ). The multi-lepton 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. 1 arXiv:1908.03755v2 [hep-ph] 8 Apr 2021