Paper detail

Unlocking the Standard Model. II. 1 generation of quarks. Masses and couplings

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 $m_ξ\approx m_π$; it is coupled to u and d quarks with identical strengths. The mass of the lightest one, $ς$, is $m_ς\approx m_π\frac{f_π}{2\sqrt{2}m_W/g} \approx\ 34\,KeV$; 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 $σ=\frac{2\sqrt{2}m_W}{g}$ and the chiral scale $v=f_π$, which are also the respective vacuum expectation values of the two Higgs bosons. They can freely coexist and be accounted for. The dependence of $m_ς$ and $m_ξ$ on $m_π$, 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.