Three-neutrino model analysis of the world's oscillation data

Abstract

A model of neutrino oscillation experiments is constructed. The experiments incorporated are: solar neutrinos (Chlorine, Gallium, Super-K, and SNO), reactor neutrinos (Bugey and CHOOZ), beam stop neutrinos (LSND decay at rest and decay in flight), and atmospheric neutrinos. Utilizing this model and the standard three-neutrino mixing extension of the standard model, the data are analyzed. Solutions for the mixing angles and mass-squared differences are found to occur in pairs corresponding to the interchange $\Delta m_{12}^2\leftrightarrow \Delta m_{23}^2$. Two pairs of solutions are found that reasonably reproduce the data, including the LSND data. These solutions are ${\theta }_{12}\approx 0.5$, ${\theta }_{13}\approx 0.1$, ${\theta }_{23}\approx 0.7$, $\Delta m_{12}^2\approx 5\times 10^{-5}$ eV${}^2$ and $\Delta m_{23}^2\approx 0.2$ eV${}^2$ or 2.4 eV${}^2$. Other statistically significant solutions are also found which produce negligible oscillations for the LSND experiments.

4 pages, no figures