Minimal extension of tri-bimaximal mixing and generalized $Z_2 \to Z_2$ symmetries

Gupta, Shivani; Joshipura, Anjan S.; Patel, Ketan M.

doi:10.1103/PhysRevD.85.031903

Minimal extension of tri-bimaximal mixing and generalized $Z_2 \to Z_2$ symmetries

Dec, 2011

12 pages

Published in:

Phys.Rev.D 85 (2012) 031903

e-Print:

1112.6113 [hep-ph]

DOI:

10.1103/PhysRevD.85.031903

View in:

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Abstract: (arXiv)

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}

.

Note:

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

14.60.Pq
11.30.Hv
14.60.St
neutrino: mixing
CP: violation
symmetry: CP
symmetry: Z(2)
neutrino: mixing angle
neutrino: mass: hierarchy

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Minimal extension of tri-bimaximal mixing and generalized Z2→Z2Z_2 \to Z_2Z2​→Z2​ symmetries

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Minimal extension of tri-bimaximal mixing and generalized $Z_2 \to Z_2$ symmetries