English

Nonstandard Origin of the Standard Electroweak Currents

High Energy Physics - Phenomenology 2011-03-08 v2

Abstract

Implications are considered of the hypothesis that the symplectic group Sp(n/2)Sp(n/2) is the spontaneously violated gauge group of n lepton flavors. Invariant Majorana masses are impossible in Sp(n/2)Sp(n/2). For the local gauge symmetry Sp(n/2)Sp(n/2) the dynamical spontaneous violation is only achievable for the number of flavors n=6n=6 with simultaneous parity (R,LR,L-symmetry) violation. The see-saw mechanism produces here three light and three heavy Dirac neutrinos. Majorana states are unavailable here. Neglecting heavy particles in the R,LR,L-symmetric system of weak and electromagnetic interactions (R,LR,L-independent values of isospins Tw and hypercharges YY for leptons or quarks) leads to a theory with parity nonconservation and axial anomalies. Only weak left (L)(L) and full (R+L)(R+L) electromagnetic currents do not have anomalies and remain independent of the physics of heavy masses. These currents are the ones of the Standard Model. The absence of anomalies merely in the combination of currents forming the electromagnetic one presents essential difference with the SM case, where the both, left TWT_W and YY, currents are deprived of anomalies independently.

Keywords

Cite

@article{arxiv.1101.3886,
  title  = {Nonstandard Origin of the Standard Electroweak Currents},
  author = {I. T. Dyatlov},
  journal= {arXiv preprint arXiv:1101.3886},
  year   = {2011}
}

Comments

20 pages, no figures

R2 v1 2026-06-21T17:14:28.893Z