Exact formula of probability and CP violation for neutrino oscillations in matter

2002/03/31 by K. Kimura, A. Takamura, H. Yokomakura
Physics and Astronomy · #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-ex #hep-ph

paper · pdf · doi:10.1016/s0370-2693(02)01907-x

published as Phys.Lett. B537 (2002) 86-94 · 13 pages, LaTeX, two figures, Version to appear in PLB

arxiv created 2002/05/26 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Within the framework of the standard three neutrino scenario, we derive an exact and simple formula of the oscillation probability P(ν_e → ν_μ) in constant matter by using a new method. From this formula, it is found that the matter effects can be separated from the pure CP violation effects. Furthermore, the oscillation probability can be written in the form, P(ν_e → ν_μ)=Acos δ+Bsinδ+C, in the standard parametrization without any approximation. We also demonstrate that the approximate formula in high-energy can be easily reproduced from this as an example.

Citations

• Matter effect toTviolation at a neutrino factory
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Neutrino oscillation physics with a neutrino factory
• CP-violation in neutrino oscillations