Three Flavor Neutrino Oscillations and Application to Long Baseline Experiments

Abstract

Using the result of the three flavor analysis of the old Kamiokande data, the recent Superkamiokande data of atmospheric neutrinos and the CHOOZ reactor data, it is shown that the third mixing angle $θ_{13}$ is small. It is proposed to determine the small value of $θ_{13}$ and the CP violating phase $δ$ in very long baseline experiments by measuring the appearance probability $P(ν_μ\toν_e)$ and the T violating effect $P(ν_e\toν_μ)-P(ν_μ\toν_e)$ which are enhanced by the matter effect of the Earth.