Large CP Violation, Large Mixings of Neutrinos and Democratic-type Neutrino Mass Matrix

Abstract

We propose a democratic-type neutrino mass matrix based on $Z_3$ symmetry. This mass matrix predicts the CP violation phase, $\delta=\pi/2$, and the mixing angle between the mass eigenstates $\nu_2$ and $\nu_3$, $\sin^2 \theta_{23}= \cos^2 \theta_{23}=1/2$ which is essential for the large atmospheric neutrino mixing, between $\nu_\mu$ and $\nu_\tau$. In this model, the large CP violation effect may be expected.