The muon g-2 in two-Higgs-doublet models

Updating various theoretical and experimental constraints on the four different types of two-Higgs-doublet models (2HDMs), we find that only the 'lepton-specific' (or 'type-X') 2HDM can explain the present muon g-2 anomaly in the parameter region of large tan β, a light CP-odd boson, and heavier CP-even and charged bosons which are almost degenerate. Severe constraints on the models come mainly from the consideration of vacuum stability and perturbativity, the electroweak precision data, the b-quark observables like B_S → μμ, the precision measurements of the lepton universality as well as the 125 GeV boson property observed at the LHC. (author)