On Higgs self-coupling parameter λ of the standard model

Thinking about the Higgs field doublet HiHi of the standard model as obeying, in addition to the usual properties, a Weyl-type equation on the Goldstone 3-sphere of the UY(1)×SUL(2)UY(1)×SUL(2) gauge symmetry, we study underlying features of the free parameters μ2μ2 and λ of the classical Higgs potential. We show amongst others that λ   may be related to the gauge coupling constants gYgY and gsu2gsu2 like λ=gY22ξ′2+gsu222ξ2 where ξ   and ξ′ξ′ are real numbers with order of magnitude discussed in paper. We show as well that at electroweak scale the mass of neutral Higgs may be estimated as MH≃MZ2∼128.7GeV.