sinθ_{13} and neutrino mass matrix with an approximate flavor symmetry and that with SU(3) symmetry

Details sinθ_{13} and neutrino mass matrix with an approximate flavor symmetry and that with SU(3) symmetry sinθ_{13} and neutrino mass matrix with an approximate flavor symmetry and that with SU(3) symmetry

2011-08-06

arxiv.org/abs/1108.1469v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, Some serious errors have been corrected and some new material have been added

Scientific paper

For a neutrino mass matrix with an approximate flavor symmetry where one has near degenerate neutrino mass, it is shown that the tri-bimaximal values for atmospheric angle $\sin^{2}{\theta_{23}}=1/2 and solar angle $\sin^{2}{\theta_{12}}=1/3$ can be maintained even when the reactor angle $\theta_{13}\neq0$. For a neutrino mass matrix obtained from an SU(3) symmetry for neutrinos in the mass eigenstate and its breaking, it is shown that the non-zero value of $\sin{\theta_{13}}$ can be accommodated with a scale which breaks the SU(3) where one has inverted mass hierarchy symmetry. In both cases non zero $\sin\theta_{13}$ implies approximate $\nu_{\mu}\rightarrow-\nu_{\tau}$ symmetry instead of $\nu_{\mu}\rightarrow\nu_{\tau}$ symmetry.

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