Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter

Details Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter

2010-06-16

arxiv.org/abs/1006.3307v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages

Scientific paper

We further study a predictive model for the masses and mixing matrix of three Majorana neutrinos. At zeroth order the model yielded degenerate neutrinos and a generalized ``tribimaximal" mixing matrix. At first order the mass splitting was incorporated and the tribimaximal mixing matrix emerged with very small corrections but with a zero value for the parameter $s_{13}$. In the present paper a different, assumed weaker, perturbation is included which gives a non zero value for $s_{13}$ and further corrections to other quantities. These corrections are worked out and their consequences discussed under the simplifying assumption that the conventional CP violation phase vanishes. It is shown that the existing measurements of the parameter $s_{23}$ provide strong bounds on $s_{13}$ in this model.

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