How precisely can we reduce the three-flavor neutrino oscillation to the two-flavor one only from (δm^2_{12})/(δm^2_{13}) <~ 1/15 ?

Details How precisely can we reduce the three-flavor neutrino oscillation to the two-flavor one only from (δm^2_{12})/(δm^2_{13}) <~ 1/15 ? How precisely can we reduce the three-flavor neutrino oscillation to the two-flavor one only from (δm^2_{12})/(δm^2_{13}) <~ 1/15 ?

2002-10-04

arxiv.org/abs/hep-ph/0210066v2

Phys.Rev. D67 (2003) 033007

Physics

High Energy Physics

High Energy Physics - Phenomenology

28pages, 8figures, revtex4. to appear in PRD

Scientific paper

10.1103/PhysRevD.67.033007

We derive the reduction formula, which expresses the survival rate for the three-flavor neutrino oscillation by the two-flavor one, to the next-to-leading order in case there is one resonance due to the matter effect. We numerically find that the next-to-leading reduction formula is extremely accurate and the improvement is relevant for the precision test of solar neutrino oscillation and the indirect measurment of CP violation in the leptonic sector. We also derive the reduction formula, which is slightly different from that previously obtained, in case there are two resonances. We numerically verify that this reduction formula is quite accurate and is valid for wider parameter region than the previously obtained ones are.

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