The earth regeneration effect of solar neutrinos: a numerical treatment with three active neutrino flavors Original Research Article

We introduce an integrated algorithm for full scale investigation of the earth regeneration effect of solar neutrinos with all three active neutrinos. We illustrate that the earth effect on low energy solar neutrinos (Eν<20 MeV) causes large variations in the survival probabilities for large values of the mixing angle θ12 at given θ13. But it is maximal for small values of θ13 and diminishes for large values at given θ12. The nadir angle dependence is sensitive to the value of E′≡E/Δ12. We also show that for large values of θ13, the earth effect is significant for high energy neutrinos (E′>109). We use a few sample iso-SNU contour plots to show that combination of the seasonal variations of Ga data and the D/N difference of water data can lead to determination of the three mixing parameters, Δ12, θ12, θ13 decisively.