2012/07/17 by Bruno Machet, Machet, Bruno
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.1207.3990
A last 1/2 factor has been corrected and the colleague who found it acknowledged
arxiv created 2012/11/29 · arxiv updated 2012/11/30
We continue investigating the Standard Model for one generation of fermions and two parity-transformed Higgs doublets K and H advocated for in a previous work, using the one-to-one correspondence, demonstrated there, between their components and bilinear quark operators. We show that all masses and couplings, in particular those of the two Higgs bosons ς and ξ, are determined by low energy considerations. The mass of the "quasi-standard" Higgs boson, ξ, is mξ≈ mπ; it is coupled to u and d quarks with identical strengths. The mass of the lightest one, ς, is mς≈ mπ(fπ)/(2√(2)mW/g) ≈ 34 KeV; it is very weakly coupled to matter except hadronic matter. The ratio of the two Higgs masses is that of the two scales involved in the problem, the weak scale σ=(2√(2)mW)/(g) and the chiral scale v=fπ, which are also the respective vacuum expectation values of the two Higgs bosons. They can freely coexist and be accounted for. The dependence of mς and mξ on mπ, that is, on quark masses, suggests their evolution when more generations are added. Fermions get their masses from both Higgs multiplets. The theory definitely stays in the perturbative regime.