Predictions of Neutrino Mixing Angles in a T'Model

Abstract

Flavor symmetry ($T^{'} \times Z_2$) where $T^{'}$ is the binary tetrahedral group predicts for neutrino mixing angles $θ_{13} = \sqrt{2} (\fracπ{4} - θ_{23})$ and, with one phenomenological input, provides upper and lower bounds on both $θ_{13}$ and $θ_{23}$. The predictions arise from the deviation of the Cabibbo angle $Θ_{12}$ from its lowest-order value $\tan 2Θ_{12} = (\sqrt{2})/3$ and from the $T^{'}$ mechanism which relates mixing of $(ν_τ, ν_μ, ν_e)$ neutrinos to mixing of $(s, d)$ quarks.