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arXiv · 0811.4766

Tri-bimaximal lepton mixing from symmetry only

W. Grimus·L. Lavoura
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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.

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W. Grimus, L. Lavoura. 2009-02-24. Tri-bimaximal lepton mixing from symmetry only. https://doi.org/10.1088/1126-6708%2F2009%2F04%2F013

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