On Higgs self-coupling parameter λ of the standard model
El Hassan Saidi (Centre of Physics and Mathematics, CPM, Morocco, LPHE – Modeling and Simulations, Faculty of Sciences, Rabat, Morocco)
Thinking about the Higgs field doublet Hi 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) gauge symmetry, we study underlying features of the free parameters μ2 and λ of the classical Higgs potential. We show amongst others that λ may be related to the gauge coupling constants gY and gsu2 like λ=gY22ξ′2+gsu222ξ2 where ξ and 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 .
