Regular Article - Theoretical Physics
Non-vanishing U e3 under S 3 symmetry
Department of Physics, Chung-Ang University, Seoul, 156-756, South Korea
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Revised: 4 July 2012
Published online: 18 July 2012
This work proposes two models of neutrino masses that predict non-zero θ 13 under the non-Abelian discrete flavor symmetry . We advocate that the size of θ 13 is understood as a group theoretical consequence rather than a perturbed effect from the tri-bi-maximal mixing. So, the difference of two models is designed only in terms of the flavor symmetry, by changing the charge assignment of right-handed neutrinos. The PMNS matrix in the first model is obtained from both mass matrices, charged leptons giving rise to non-zero and neutrino masses giving rise to tri-bi-maximal mixing. The physical mixing angles are expressed by a simple relation between and tri-bi-maximal angles to fit the recent experimental results. The other model generates PMNS matrix with non-zero θ 13, only from the neutrino mass transformation. The 5-dimensional effective theory of Majorana neutrinos obtained in this framework is tested with phenomenological bounds in the parametric spaces sinθ 23,sinθ 12 and m 2/m 3 vs. sinθ 13.
© Springer-Verlag / Società Italiana di Fisica, 2012