English

On explaining the observed pattern of quark and lepton masses

High Energy Physics - Phenomenology 2019-03-26 v1

Abstract

Higgs sector of the Standard model (SM) is replaced by the gauge SU(3)fSU(3)_f quantum flavor dynamics (QFD) with one parameter, the scale Λ\Lambda. Anomaly freedom of QFD demands extension of the fermion sector of SM by three sterile right-handed neutrino fields. Poles of fermion propagators with chirality-changing self-energies Σ(p2)\Sigma(p^2) spontaneously generated by QFD at strong coupling define: (1) Three sterile-neutrino Majorana masses MfRM_{fR} of order Λ\Lambda. (2) Three Dirac masses mfm_f, degenerate for ef,νf,uf,dfe_f, \nu_f, u_f, d_f in family ff, exponentially small with respect to Λ\Lambda. Goldstone theorem implies: All eight flavor gluons acquire masses of order MfRM_{fR}. WW and ZZ bosons acquire masses of order mf\sum m_f, the effective Fermi scale. Composite 'would-be' Nambu-Goldstone bosons have their 'genuine' partners, the composite Higgs particles: The SM-like Higgs hh and two new Higgses h3h_3 and h8h_8, all with masses at Fermi scale; three Higgses χi\chi_i with masses at scale Λ\Lambda. Large pole-mass splitting of charged leptons and quarks in ff is arguably due to full QED Σ(p2)\Sigma(p^2)-dependent fermion-photon vertices enforced by Ward-Takahashi identities. The argument relies on illustrative computation of pole-mass splitting found non-analytic in fermion electric charges. Neutrinos are the Majorana particles with seesaw mass spectrum computed solely by QFD. Available data fix Λ\Lambda to, say, Λ1014GeV\Lambda \sim 10^{14} \rm GeV.

Keywords

Cite

@article{arxiv.1903.10194,
  title  = {On explaining the observed pattern of quark and lepton masses},
  author = {Jiri Hosek},
  journal= {arXiv preprint arXiv:1903.10194},
  year   = {2019}
}

Comments

11 pages, 2 figures