Atmospheric neutrino oscillations in three-flavor neutrinos
  We analyzed the atmospheric neutrino experiments of SuperKamiokande including zenith angle dependence's using the three-flavor neutrino framework with the hierarchy m^2_1 \approx m^2_2<<m^2_3. Taking into account the terrestrial, solar neutrino experimental data and the atmospheric neutrino experiments including the sub-GeV and multi-GeV data in SuperKamiokande, large angle solution in the solar neutrino experiments is favored and the range of the mass parameter Deltam^2_{23} is restricted between 0.08eV^2 - 2eV^2. Allowed regions of mixing parameters are (theta_{13}<4degree, 27degree<theta_{23}< 32degree) for Delta m_{23}^2=1eV^2 and (theta_{13}<3degree, 28degree<theta_{23} <33degree) for Deltam_{23}^2=0.1 eV^2. 
T. Teshima and T. Sakai