Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-03-10
Phys.Lett. B537 (2002) 86-94
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, LaTeX, two figures, Version to appear in PLB
Scientific paper
10.1016/S0370-2693(02)01907-X
Within the framework of the standard three neutrino scenario, we derive an exact and simple formula of the oscillation probability $P(\nu_e \to \nu_{\mu})$ 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, $P(\nu_e \to \nu_{\mu})=A\cos \delta+B\sin\delta+C$, 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.
Kimura Kenichiro
Takamura Akira
Yokomakura Hidekazu
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