Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth

Details Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth

1999-12-10

arxiv.org/abs/hep-ph/9912295v2

Phys.Lett. B474 (2000) 153-162

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 4 figures (PostScript), Elsevier LaTeX

Scientific paper

10.1016/S0370-2693(00)00008-3

Analytic formulas are presented for three flavor neutrino oscillations in matter in the plane wave approximation. We calculate in particular the time evolution operator in both mass and flavor bases. We also find the transition probabilities expressed as functions of the vacuum mass squared differences, the vacuum mixing angles, and the matter density parameter. The application of this to neutrino oscillations for both atmospheric and long baseline neutrinos in a mantle-core-mantle step function model of the Earth's matter density profile is discussed.

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