Tri-bimaximal lepton mixing from symmetry only
Abstract
We construct a model for tri-bimaximal lepton mixing which employs only family symmetries and their soft breaking; neither vacuum alignment nor supersymmetry, extra dimensions, or non-renormalizable terms are used in our model. It is an extension of the Standard Model making use of the seesaw mechanism with five right-handed neutrino singlets. The scalar sector comprises four Higgs doublets and one complex gauge singlet. The horizontal symmetry of our model is based on the permutation group S_3 of the lepton families together with the three family lepton numbers--united this constitutes a symmetry group Delta(6\infty^2). The model makes no predictions for the neutrino masses.
Keywords
Cite
@article{arxiv.0811.4766,
title = {Tri-bimaximal lepton mixing from symmetry only},
author = {W. Grimus and L. Lavoura},
journal= {arXiv preprint arXiv:0811.4766},
year = {2009}
}
Comments
16 pages, no figures; references added, section 3 supplemented by discussion of the group structure of the model