$\sin {\theta }_{13}$ and neutrino mass matrix with an approximate flavor symmetry

Abstract

For a neutrino mass matrix whose texture has an approximate flavor symmetry and where one has near degenerate neutrino mass, it is shown that the tribimaximal 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 ${\theta }_{13}\ne 0$. The non zero $\sin {\theta }_{13}$ implies approximate ${\nu }_{\mu }\to -{\nu }_{\tau }$ symmetry instead of ${\nu }_{\mu }\to {\nu }_{\tau }$ symmetry.

13 pages,2 figures, Published in JHEP

References in corpus (1)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam

Cited by in corpus (5)

• Finite Symmetry of Leptonic Mass Matrices
• TFH Mixing Patterns, Large ${\theta }_{13}$ and $\Delta (96)$ Flavor Symmetry
• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle