English

On the Origin of Lepton and Quark Masses

High Energy Physics - Phenomenology 2017-08-29 v1

Abstract

Gauging the flavor (family, generation, horizontal) index of the chiral fermion fields of the Standard model, for anomaly freedom extended by three sterile right-handed neutrino fields, results in asymptotically free, {\it bona fide} nonconfining SU(3)fSU(3)_f quantum flavor dynamics. Approximate nonperturbative strong-coupling solutions of the corresponding Schwinger-Dyson (SD) equation for fermion self-energies give rise to the complete flavor symmetry breaking by : (1) Three huge Majorana masses of sterile right-handed neutrinos. (2) Three exponentially light Dirac masses common to all fermion sorts in a family. Masses of charged leptons and quarks are further distinguished from Dirac neutrino masses by the weak hypercharge contributions to the universal SU(3)fSU(3)_f kernel of the SD equation, free of unknown parameters. The SU(3)fSU(3)_f dynamics itself thus gives the neutrino mass spectrum in the seesaw form.

Keywords

Cite

@article{arxiv.1708.08233,
  title  = {On the Origin of Lepton and Quark Masses},
  author = {Jiri Hosek and J. Adam,},
  journal= {arXiv preprint arXiv:1708.08233},
  year   = {2017}
}

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6 pages