Full Numerical Estimation of Neutrino Mixing Parameters from Solar Neutrino Data

TL;DR

This paper numerically analyzes solar neutrino data within the three-generation MSW framework to estimate neutrino mixing parameters, confirming known regions and predicting a specific value for .

Contribution

It provides a comprehensive numerical estimation of neutrino mixing parameters from solar data using full three-generation formalism, including new insights for .

Findings

Confirmed two main regions for  0c  0c 0.006 and  0c  0c 0.5.

Identified an additional less likely region for  0c  0c 10^{-5} to 10^{-4} eV^2.

Predicted  0c  0c ^\u00b0 based on the analysis.

Abstract

We have numerically computed survival probabilities of solar neutrinos interacting with matter via MSW mechanism in the full three generation formalism with $\Delta m^2_{23}=2.2\times 10^{-3}$ eV$^2$. For $\theta_{13} \lesssim 30^{\circ}$, we confirm the two regions found in the two generation case, (1) with the most likelyhood, small $\sin^2(2\theta_{12}) \sim 0.006$, (2) with less likelyhood, large $\sin^2(2\theta_{12}) \gtrsim 0.5$. For $\theta_{13}\gtrsim 30^{\circ}$, we find an additional region, (3) with even less likelyhood, $10^{-5} < \Delta m^2_{12}< 10^{-4}$ eV$^2$ and/or $10^{-4} < \sin^2(2\theta_{12}) < 0.5$. Assuming that the case (1) is valid, we predict that $\theta_{13} \simeq 15^\circ$.