Generalized Neutrino Mixing from the Atmospheric Anomaly

Abstract

We determine the neutrino mixing and mass parameters that are allowed by the Super-Kamiokande atmospheric neutrino data in a three-neutrino model with one mass-squared difference contributing to the oscillations. We find that although $\hat{I}{½}_{\hat{I}}¼\to \hat{I}{½}_{\ddot{I}}„$ oscillations are favored, $\hat{I}{½}_{\hat{I}}¼\to \hat{I}{½}_e$ oscillations with amplitude as large as 0.18 are allowed even after accounting for the limit from the CHOOZ reactor experiment. The range of allowed parameters permit observable $\hat{I}{½}_{\hat{I}}¼\leftrightarrow \hat{I}{½}_e$ and $\hat{I}{½}_e\to \hat{I}{½}_{\ddot{I}}„$ oscillations in future long-baseline experiments.

9 pages, Latex2.09, 2 postscript figures embedded using epsf.sty