Precise Formulation of Neutrino Oscillation in the Earth
نویسنده
چکیده
We give a perturbation theory of neutrino oscillation in the Earth. The perturbation theory is valid for neutrinos with energy E > ∼ 0.5 GeV. It is formulated using trajectory dependent average potential. Non-adiabatic contributions are included as the first order effects in the perturbation theory. We analyze neutrino oscillation with standard matter effect and with non-standard matter effect. In a three flavor analysis we show that the perturbation theory gives a precise description of neutrino conversion in the Earth. Effect of the Earth matter is substantially simplified in this formulation. PACS: 14.60.Pq, 13.15.+g
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