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Day-night effect in solar neutrino oscillations with three flavors

Day-night effect in solar neutrino oscillations with three flavors

We investigate the effects of a nonzero leptonic mixing angle ${\ensuremath{\theta}}_{13}$ on the solar neutrino day-night asymmetry. Using a constant matter density profile for the Earth and well-motivated approximations, we derive analytical expressions for the ${\ensuremath{\nu}}_{e}$ survival probabilities for solar neutrinos arriving directly at the detector and for solar neutrinos …