Families from Supergroups and Predictions for Leptonic CP Violation
Abstract
As was shown in 1984 by Caneschi, Farrar, and Schwimmer, decomposing representations of the supergroup SU(M|N), can give interesting anomaly-free sets of fermion representations of SU(M) x SU(N) x U(1). It is shown here that such groups can be used to construct realistic grand unified models with non-abelian gauged family symmetries. A particularly simple three-family example based on SU(5) x SU(2) x U(1) is studied. The forms of the mass matrices, including that of the right-handed neutrinos, are determined in terms of SU(2) Clebsch coefficients; and the model is able to fit the lepton sector and predict the Dirac CP-violating phase of the neutrinos.. Models of this type would have a rich phenomenology if part of the family symmetry is broken near the electroweak scale.
Keywords
Cite
@article{arxiv.1609.00706,
title = {Families from Supergroups and Predictions for Leptonic CP Violation},
author = {S. M. Barr and Heng-Yu Chen},
journal= {arXiv preprint arXiv:1609.00706},
year = {2017}
}
Comments
11 pages, no figures. Title changed. Section 3 expanded to include realistic solution for lepton sector