Upper Bounds on the Higgs-Boson Mass and the Coupling Constant

In the Glashow-Salam-Weinberg model with single Higgs doublet, upper bounds on the Higgs-boson mass and the coupling constant are obtained: $m_{\mathrm{H}}<~455$ GeV, $\lambda <~32.8$ based on one-loop radiative corrections and the existence of the spontaneously broken absolute vacuum. Under two-loop radiative corrections, these bounds are improved to $m_{\mathrm{H}}<~320$ GeV, $\lambda <~9.35$.