Tri-bimaximal lepton mixing from symmetry only

Details Tri-bimaximal lepton mixing from symmetry only Tri-bimaximal lepton mixing from symmetry only

2008-11-28

arxiv.org/abs/0811.4766v3

JHEP 0904:013,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, no figures; references added, section 3 supplemented by discussion of the group structure of the model

Scientific paper

10.1088/1126-6708/2009/04/013

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.

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