1108.1469 (Riazuddin)

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

Riazuddin

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.

View original: http://arxiv.org/abs/1108.1469