Regularization dependence of the Higgs mass triviality bound

Abstract

We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group SU(2) L × SU(2) custodial ≈ O(4) has been replaced by O( N) and N has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable couplings in the bare action yield triviality bounds displaying a large degree of universality. Extrapolating from N = ∞ to N = 4 we conservatively estimate that a Higgs particle with mass up to 0.750 TeV and width up to 0.290 TeV is realizable without large cutoff effects, indicating that strong scalar self interactions in the standard model are not ruled out. We also present preliminary numerical results of the physical N = 4 case for the F 4 lattice that are in agreement with the large N expectations.