Model of Flavors

Abstract

The BCS-motivated idea of Weinberg and Salam on dynamical EW symmetry breaking is revived: The Higgs sector of the EW gauge model of three fermion flavors (families) is replaced with the chiral gauge $SU(3{)}_f$ quantum flavor dynamics (QFD) strongly coupled at a huge scale $\hat{I}›$. I. With all chiral fermions in flavor triplets the anomaly freedom demands the welcome BSM extension of the SM fermion sector by one EW-sterile neutrino $\hat{I}{½}_R$ per flavor. II. The QFD distinguishes flavors by generating at strong coupling the chirality-prohibited (i.e. calculable) fermion masses: Three different Majorana masses $M_f\sim \hat{I}›$ of $\hat{I}{½}_R$, and three different, arguably small Dirac masses $m_f$ of SM fermions degenerate for all species in each flavor. 1. Complete spontaneous breakdown of $SU(3{)}_f\times U(1)$ by $M_f$ implies: (i) All flavor gluons acquire self-consistently masses $\sim M_f$. (ii) There is the $\hat{I}{½}_R$-composite pseudo-NG Majoron. (iii) There are three very heavy $0^{+}$ $\hat{I}{½}_R$-composite Higgs bosons. 2. Spontaneous breakdown of the EW $SU(2{)}_L\times U(1{)}_Y$ symmetry to $U(1{)}_{em}$ by $m_f$, in sharp contrast with the Higgs mechanism, implies: (i) The $W$ and $Z$ bosons acquire masses $\sim g(\sum m_f^2{)}^{1/2}$ and $\sim (g^2+g^{{}^{\prime }2}{)}^{1/2}(\sum m_f^2{)}^{1/2}$ respectively, defining the effective Fermi scale $v=246\mathrm{GeV}$. (ii) There are three SM-fermion-composite $0^{+}$ Higgs bosons $h_f$ at this scale. III. The UV-finite EW dynamical perturbation theory of Pagels and Stokar splits the flavor-degenerate masses of SM-fermions by their electric charges and the ratios $m_f/m_{W,Z}$. Six Majorana neutrino masses are calculable by seasaw.

11 pages, 1 figure