Upper Bound on the Higgs-Boson Mass in the Standard Model

The electroweak model with one Higgs doublet is investigated when the mass of the Higgs particle is larger than the weak-interaction scale. It is shown that the SU(2) Higgs sector with spontaneously broken O(4) symmetry and perturbative gauge coupling becomes a trivial field theory at infinite cutoff. Around the trivial Gaussian fixed point, for finite cutoff, a low-energy effective theory is found with non-trivial couplings and mass generation from spontaneous symmetry breaking. We find an upper bound of $M_H\approx 640$ GeV on the mass of the Higgs particle with a lattice momentum cutoff $2\pi$ times larger than the Higgs-boson mass.