Solving the muon (g −2)_μ anomaly 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 Higgs boson, and heavier CP-even and charged Higgs bosons which are almost degenerate. The severe constraints on the models come mainly from the consideration of vacuum stability and perturbativity, the electroweak precision data, B physics observables like b → sγ as well as the 125 GeV Higgs boson properties measured at the LHC.