Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-03-14
Phys.Lett. B595 (2004) 414-424
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 9 figures, accepted version in PLB
Scientific paper
10.1016/j.physletb.2004.05.035
We study neutrino oscillation within the framework of three generations in matter. We propose a simple method to approximate the coefficients A, B and C which do not depend on the CP phase \delta in the oscillation probability P(\nu_e \to \nu_{\mu})=A\cos \delta + B\sin \delta +C. An advantage of our method is that an approximate formula of the coefficients A, B and C in arbitrary matter {\it without the usual first order perturbative calculations} of the small parameter \Delta m_{21}^2/\Delta m_{31}^2 or \sin \theta_{13} can be derived. Furthermore we show that all the approximate formulas for low, intermediate and high energy regions given by other authors in constant matter can be easily derived from our formula. It means that our formula is applicable over a wide energy region.
Kimura Keiichi
Takamura Akira
Yokomakura Hidekazu
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