Neutrino Masses and Leptonic CP Violation

Abstract

Neutrino oscillations as solutions of the solar neutrino problems and the atmospheric neutrino deficits may restrict neutrino mass squared differences and mixing angles in three-neutrino mixing scheme. Currently we have several solutions depending on the interpretations of the solar neutrino problems. Combining the neutrino oscillation solutions and a mass matrix ansatz, we investigated the neutrino mass bounds and found possible leptonic CP-violating rephasing-invariant quantity $J_{CP}^l\le 0.012$ for large mixing angle MSW and just-so vacuum oscillations solutions, and $J_{CP}^l\le 0.0013$ for small mixing angle MSW solution.

Comments: 18 pages, RevTex, 2 figures; modified and to be published in Phys. Rev. D (2000)