Three-neutrino model analysis of the world's oscillation data
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 $Δm^2_{12} \leftrightarrow Δm^2_{23}$. Two pairs of solutions are found that reasonably reproduce the data, including the LSND data. These solutions are $θ_{12}\approx 0.5$, $θ_{13}\approx 0.1$, $θ_{23}\approx 0.7$, $Δm^2_{12} \approx 5\times 10^{-5}$ eV$^2$ and $Δm^2_{23} \approx 0.2$ eV$^2$ or 2.4 eV$^2$. Other statistically significant solutions are also found which produce negligible oscillations for the LSND experiments.