Full Numerical Estimation of Neutrino Mixing Parameters from Solar Neutrino Data

Physics – High Energy Physics – High Energy Physics - Phenomenology

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4 pages, 1 postscript figure, 1 gif figure

Scientific paper

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 $\theta_{13} \simeq 15^\circ$.

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