A. C. B. Machado, V. Pleitez
In a model with $B-L$ as a gauge symmetry and right-handed neutrinos having exotic local $B-L$ charge assignment: two of them with $B-L=-4$ and the other one having $B-L=5$, it is natural accommodate the two right-handed neutrinos with the same $B-L$ charge in a doublet of $S_3$, and the third one transforming as singlet of $S_3$. This can be extended to the lepton doublets of SU(2) and the so called bimodal/schizophrenic neutrinos scheme arise naturally in this model. Here we show that after the Daya Bay results under some conditions a non-zero $\theta_{13}$ could, or not, be obtained.
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http://arxiv.org/abs/1105.6064
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