Three flavor neutrino oscillation analysis of the kamiokande atmospheric neutrino data

Abstract

Using the published Kamiokande binned data for sub-GeV and multi-GeV atmospheric neutrinos, we have searched for the optimum set of three flavor neutrino oscillation parameters within the constraints of reactor experiments. It is found that chi^2 is minimized for (Delta m_{21}^2, Delta m_{32}^2, theta_{12}, theta_{13}, theta_{23}) = (7.4x10^{-1} eV^2, 2.6x 10^{-2} eV^2, 2 deg, 3 deg, 45 deg) and (2.6x 10^{-2} eV^2, 7.4x10^{-1} eV^2, 0 deg, 87 deg, 46 deg) with chi_{min}^2 = 87.8 (76%CL). The sets of parameters which are suggested by the two flavor analysis turn out to be close to the minimum (0.2sigma).