A model that underlies the Standard model

Abstract

We assign the chiral fermion fields of the Standard model to triplets of flavor (family, generation, horizontal) $SU(3)_f$ symmetry, for anomaly freedom add one triplet of sterile right-handed neutrino fields, and gauge that symmetry. First we demonstrate that the resulting quantum flavor $SU(3)_f$ dynamics completely spontaneously self-breaks: Both the Majorana masses of sterile neutrinos and the masses of all eight flavor gluons come out proportional to the $SU(3)_f$ scale $\Lambda$. Mixing of sterile neutrinos yields new CP-violating phases needed for understanding the baryon asymmetry of the Universe. Second, the $SU(3)_f$ dynamics with weak hypercharge radiative corrections spontaneously generates the lepton and quark masses exponentially suppressed with respect to $\Lambda$. Three active neutrinos come out as Majorana particles extremely light by seesaw. The Goldstone theorem implies: (i) The electroweak bosons $W$ and $Z$ acquire masses. (ii) There are three axions, decent candidates for dark matter. Invisibility of the Weinberg-Wilczek axion $a$ with mass $m_a \sim \rm m^2_{\pi}/\Lambda$ restricts the scale $\Lambda$ from $\Lambda \sim \rm 10^{10} GeV$ upwards. Third, the composite 'would-be' Nambu-Goldstone (NG) bosons of all spontaneously broken gauge symmetries have their {\it genuine composite} massive partners: (i) One $0^{+}$ flavorless Higgs-like particle $h$ accompanying three electroweak 'would-be' NG bosons. (ii) Two $0^{+}$ flavored Higgs-like particles $h_3$ and $h_8$ accompanying six flavored electroweak 'would-be' NG bosons. (iii) Three superheavy spin-zero sterile-neutrino-composites $\chi_i$ accompanying eight flavored sterile-neutrino-composite 'would-be' NG bosons. We identify $\chi_i$ with inflatons.