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

TL;DR

This paper constructs a comprehensive model of neutrino oscillation experiments, analyzing data from various sources to identify solutions for neutrino mixing parameters within the three-neutrino framework.

Contribution

It provides a detailed analysis of global neutrino oscillation data using a three-neutrino model, identifying multiple solutions for mixing angles and mass differences, including those consistent with LSND results.

Findings

Identified two main solution pairs fitting the data, including LSND.

Found alternative solutions with negligible LSND oscillations.

Estimated key neutrino mixing angles and mass-squared differences.

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 $\Delta m^2_{12} \leftrightarrow \Delta m^2_{23}$. Two pairs of solutions are found that reasonably reproduce the data, including the LSND data. These solutions are $\theta_{12}\approx 0.5$, $\theta_{13}\approx 0.1$, $\theta_{23}\approx 0.7$, $\Delta m^2_{12} \approx 5\times 10^{-5}$ eV$^2$ and $\Delta m^2_{23} \approx 0.2$ eV$^2$ or 2.4 eV$^2$. Other statistically significant solutions are also found which produce negligible oscillations for the LSND experiments.