Large- N analysis 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bound on the Higgs mass in scalar field theory models whose global symmetry group SU(2) L × SU(2) custodial ≈ O(4) has been replaced by O( N) and N has been taken to infinity.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 4% 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.