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arXiv · 0710.1492

Precise Formulation of Neutrino Oscillation in the Earth

Wei Liao
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Abstract

We give a perturbation theory of neutrino oscillation in the Earth. The perturbation theory is valid for neutrinos with energy $E \gsim 0.5$ 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.

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Wei Liao. 2008-02-17. Precise Formulation of Neutrino Oscillation in the Earth. https://doi.org/10.1103/physrevd.77.053002

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