Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-06-12
JHEP0601:053,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 4 figures, version to appear in JHEP
Scientific paper
10.1088/1126-6708/2006/01/053
In the framework of three generations, we consider the CP violation in neutrino oscillation with matter effects. At first, we show that the non-perturbative effects of two small parameters, \Delta m_{21}^2/\Delta m_{31}^2 and \sin \theta_{13}, become more than 50% in certain ranges of energy and baseline length. This means that the non-perturbative effects should be considered in detailed analysis in the long baseline experiments. Next, we propose a method to include these effects in approximate formulas for oscillation probabilities. Assuming the two natural conditions, \theta_{23}=45^\circ and the fact that the matter density is symmetric, a set of approximate formulas, which involve the non-perturbative effects, has been derived in all channels.
Kimura Keiichi
Takamura Akira
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