Precise Formulation of Neutrino Oscillation in the Earth

Details Precise Formulation of Neutrino Oscillation in the Earth Precise Formulation of Neutrino Oscillation in the Earth

2007-10-08

arxiv.org/abs/0710.1492v2

Phys.Rev.D77:053002,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

References added, 21 pages, 10 figures, version to appear in PRD

Scientific paper

10.1103/PhysRevD.77.053002

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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