Towards computing the lepton and quark mass spectra and their consequences

TL;DR

This paper explores how chiral gauge dynamics can generate diverse lepton and quark mass spectra, leading to massive gauge bosons and various composite pseudo Nambu-Goldstone bosons with calculable properties.

Contribution

It presents a novel mechanism linking chiral gauge symmetry breaking to the generation of fermion masses and associated composite bosons, with detailed implications for particle spectra.

Findings

Generation of wide lepton and quark mass spectra from chiral dynamics

Massive gauge bosons absorb NG bosons, gaining mass

Existence of composite pseudo NG bosons with calculable couplings

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.