Analysis of neutrino oscillation in three-flavor neutrinos

Abstract

We analyzed the solar, terrestrial and atmospheric neutrinos experiments using the three-flavor neutrino framework and got the allowed regions for parameters (\Delta m_{12}^2, \sin^22\theta_{12}, \Delta m_{23}^2, \theta_{13}, \theta_{23}). In solar neutrino experiments, we got the large angle solution (\Delta m_{12}^2, \sin^22\theta_{12})=(4x10^{-6} - 7x10^{-5}eV^2, 0.6 - 0.9) and small angle solution (3x10^{-6} - 1.2x10^{-5}eV^2, 0.003 - 0.01) for \theta_{13}=0^\circ - 20^\circ. From the terrestrial and atmospheric neutrino experiments, we got the allowed regions (\theta_{13}<4^\circ, 24^\circ<\theta_{23}<26^\circ) for \Delta m_{23}^2=2eV^2, (\theta_{13}<4^\circ, 24^\circ<\theta_{23} <45^\circ) for \Delta m_{23}^2=0.2eV^2 and (\theta_{13}<14^\circ, \theta_{23}=40^\circ) for \Delta m_{23}^2=0.02eV^2. It seems that the large angle solution for (\Delta m_{12}^2, \sin^22\theta_{12}) is favored than the small angle slution from the analysis of zenith angle dependence in atmospheric neutrino sub-GeV experiment.