{ "id": "1207.3990", "version": "v3", "published": "2012-07-17T13:41:49.000Z", "updated": "2012-11-29T08:48:46.000Z", "title": "Unlocking the Standard Model. II. 1 generation of quarks. Masses and couplings", "authors": [ "Bruno Machet" ], "comment": "A last 1/2 factor has been corrected and the colleague who found it acknowledged", "categories": [ "hep-ph" ], "abstract": "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 $m_\\varsigma \\approx m_\\pi \\frac{f_\\pi}{2\\sqrt{2}m_W/g} \\approx\\ 34\\,KeV$; 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 $\\sigma=\\frac{2\\sqrt{2}m_W}{g}$ 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.", "revisions": [ { "version": "v3", "updated": "2012-11-29T08:48:46.000Z" } ], "analyses": { "subjects": [ "11.15.Ex", "02.20.Qs", "11.30.Hv", "12.60.Fr", "11.30.Rd" ], "keywords": [ "standard model", "generation", "higgs boson", "low energy considerations", "bilinear quark operators" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1122859, "adsabs": "2012arXiv1207.3990M" } } }