h → μτ and muon g-2 in the alignment limit of two-Higgs-doublet model

We examine the h -> mu tau and muon g - 2 in the exact alignment limit of two-Higgs-doublet model. In this case, the couplings of the SM-like Higgs to the SM particles are the same as the Higgs couplings in the SM at the tree level, and the tree-level lepton flavor violating coupling h mu tau is absent. We assume the lepton-flavor-violating mu tau excess observed by CMS to be respectively from the other neutral Higgses, H and A, which almost degenerates with the SM-like Higgs at the 125 GeV. After imposing the relevant theoretical constraints and experimental constraints from the precision electroweak data, B-meson decays, tau decays and Higgs searches, we find that the muon g 2 anomaly and mu tau excess favor the small lepton Yukawa coupling and top Yukawa coupling of the non-SM-like Higgs around 125 GeV, and the lepton flavor violating coupling is sensitive to another heavy neutral Higgs mass. In addition, if the mu tau excess is from H around 125 GeV, the experimental data of the heavy Higgs decaying into mu tau favor m(A) > 230 GeV for a relatively large Hit coupling. (C) 2017 The Author(s). Published by Elsevier B.V.