Large CP Violation, Large Mixings of Neutrinos and the $Z_3$ Symmetry

Abstract

We present neutrino mass matrices which predict the atmospheric neutrino mixing to be almost maximal, ${\sin }^{2}2{\theta }_{atm}>0.999$, as well as the large solar neutrino mixing, $8/9>{\sin }^{2}2{\theta }_{sol}>0.87$, and the large CP violation (the CP violation phase in the standard form is maximal $\delta =\pi /2$), based on the $Z_3$ symmetry.

Comments: LaTeX, 17 pages; minor corrections and some comments added