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

TL;DR

This paper introduces a democratic-type neutrino mass matrix based on $Z_3$ symmetry, predicting large CP violation and maximal atmospheric neutrino mixing, offering insights into neutrino oscillation phenomena.

Contribution

It presents a novel neutrino mass matrix model that predicts maximal CP violation and large mixing angles, based on $Z_3$ symmetry, advancing theoretical understanding.

Findings

Predicts CP violation phase $ o rac{ ext{pi}}{2}$

Predicts maximal atmospheric mixing $ o rac{1}{2}$

Suggests large CP violation effects

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.