Status of the Higgs Mass Bound

The status of the triviality bound of the Higgs mass in the Minimal Standard Model is reviewed. It is emphasized that the bound is obtained, in the scalar sector, by limiting cutoff effects on physical processes. Results from several regularization schemes, including actions that allow a parameterization and tuning of the leading cutoff effects, are presented. They lead to the conclusion that the Minimal Standard Model will describe physics to an accuracy of a few percent up to energies of the order 2 to 4 times the Higgs mass, $M_H$, only if $M_H \le 710 \pm 60 ~ GeV$. The status of Higgs and fermion mass bounds in Higgs-fermion models is also briefly reviewed.