Can the Super-Kamiokande Atmospheric Data Predict the Solar Neutrino Deficit ?

Abstract

In this Letter we show that the evidence for neutrino oscillations from the Super-Kamiokande atmospheric neutrino data fully determines the 3x3 neutrino-oscillations mixing matrix and predicts an energy independent solar neutrino deficit at the level of 45%. This corresponds to a ratio of measured to predicted neutrino flux of R_e^{Solar} = 0.55, in good agreement with the experimental results. We achieve this result within the framework of a minimal, three-generations neutrino mixing, with mass squared differences of dM^2 = 0.45 eV^2 and dm^2 = O(10^-3) eV^2. The mixing matrix derived here is characterized by the mixing angles theta = 35.1, beta = 5.5, and psi = 23.3, and a vanishing CP-violating phase, delta = 0.