Towards computing the lepton and quark mass spectra and their consequences

Abstract

We demonstrate that the chiral gauge flavor $SU(3)_f$ dynamics spontaneously generates the chiral symmetry breaking fermion self energies $\Sigma(p^2)$ resulting in wide and wild spectra of lepton and quark masses. The Goldstone theorem then necessarily implies: (1) Gauge bosons of gauged chiral symmetries absorb the underlying 'would-be' Nambu-Goldstone (NG) bosons and become massive. Masses are determined by $\Sigma(p^2)$s of those fermions to which they couple, and by the corresponding gauge coupling constants. (2) Charges of anomalous Abelian chiral fermion currents create composite mixed-parity pseudo NG bosons with calculable couplings to fermions and gauge bosons: (i) the Higgs-looking $h$ with mass due to the $SU(3)_f$ instanton; (ii) the Weinberg-Wilczek axion $a$ with mass due to the QCD instanton; (iii) the Anselm-Uraltsev arion $b$ with mass due to the electroweak instanton. (3) There are the true composite NG bosons, the majorons.