  Higgs boson may serve as a portal to new physics beyond the standard model
(BSM) which is implied by theoretical naturalness or experimental anomalies. In
this note we briefly survey some Higgs-related BSM physics models, including
the low energy SUSY (focusing on the minimal SUSY model), the little Higgs
models, the two-Higgs-doublet models and the simplest singlet extensions of the
Higgs sector. For each illustrated BSM model, we emphatically elucidate its
phenomenological power in explaining current measurements of the muon g-2, the
W-boson mass and the dark matter. For the singlet extensions like the xSM and
2HDM+S, we discuss the induced cosmic phase transition and the dark matter
relic density as well as the vacuum stability. Finally, we give an outlook.
