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تسجيل مستخدم جديدUnlocking the Standard Model. II. 1 generation of quarks. Masses and couplings
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Bruno Machet
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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 $varsigma$ and $xi$, are determined by low energy considerations. The mass of the quasi-standard Higgs boson, $xi$, is $m_xi approx m_pi$; it is coupled to u and d quarks with identical strengths. The mass of the lightest one, $varsigma$, is $m_varsigma approx m_pi frac{f_pi}{2sqrt{2}m_W/g} approx 34,KeV$; 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 $sigma=frac{2sqrt{2}m_W}{g}$ and the chiral scale $v=f_pi$, which are also the respective vacuum expectation values of the two Higgs bosons. They can freely coexist and be accounted for. The dependence of $m_varsigma$ and $m_xi$ on $m_pi$, 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.
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