An attempt to model the Salam-Weinberg Higgs

Abstract

It is shown that in a two scale confining substructure model for Standard Model fermions and weak bosons respectively where the two scale obey Λ′ ⪢ Λ a see-saw scale μ ≪ Λ, Λ′ ( μ = Λ· ( Λ/ Λ′)) is generated. We discuss the possible existence of a critical value μ c of μ where, due to an effect of level repulsion, the low energy part of the effective bound state theory lives at the Higgs-confinement phase boundary. Then μ c is identified with the weak scale. We present correlators to be measured at the phase boundary in a lattice definition of the model to determine the mass ratio m Higgs/ M W . We argue that by the Weinberg-Witten theorem only the Higgs phase is accessible and a light Higgs exists at the phase boundary. An argument that its effective renormalized couplings are weak is given.