Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries

Details Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries Minimal extension of tri-bimaximal mixing and generalized Z_2 X Z_2 symmetries

2011-12-28

arxiv.org/abs/1112.6113v2

Phys. Rev. D 85, 031903(R) (2012)

Physics

High Energy Physics

High Energy Physics - Phenomenology

References added, accepted for publication in Phys. Rev. D (Rapid Communication)

Scientific paper

10.1103/PhysRevD.85.031903

We discuss consequences of combining the effective $Z_2\times Z_2$ symmetry of the tri-bimaximal neutrino mass matrix with the CP symmetry. Imposition of such generalized $Z_2\times Z_2$ symmetries leads to predictive neutrino mass matrices determined in terms of only four parameters and leads to non-zero $\theta_{13}$ and maximal atmospheric mixing angle and CP violating phase. It is shown that an effective generalized $Z_2\times Z_2$ symmetry of the mass matrix can arise from the $A_4$ symmetry with specific vacuum alignment. The neutrino mass matrix in the considered model has only three real parameters and leads to determination of the absolute neutrino mass scale as a function of the reactor angle $\theta_{13}$.

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