### Speaker

Prof.
Osamu Yasuda
(Tokyo Metropolitan University)

### Description

Using the formalism by Kimura, Takamura and Yokomakura, the analytic oscillation probability is derived in the presence of new physics in propagation for high energy. While the components \epsilon_{ee}, \epsilon_{e\tau}, \epsilon_{\tau\tau} are allowed to remain relatively large (as was shown by Friedland & Lunardini), it turns out that \epsilon_{e\mu} and \epsilon_{\mu\tau} have conflict with the atmospheric neutrino data at high energy, i.e., their existence contradicts with the behavior P_{\mu\mu}=1-\sin^2(\Delta m^2L/4E). Partial analysis with \epsilon_{\mu\tau} and \epsilon_{\tau\tau} was done by G. Mitsuka at nufact08, and his result was |\epsilon_{\mu\tau}| < 0.015. Since the oscillation probability at high energy has dependence on \epsilon_{e\mu}^2+\epsilon_{\mu\tau}^2, it is expected that \epsilon_{e\mu} is constrained as strongly as \epsilon_{\mu\tau}, although it has to be confirmed by numerical computations. The present bound on |\epsilon_{e\mu}| is approximately 0.3, so atmospheric neutrinos appear to give us stronger constraints.

### Primary author

Prof.
Osamu Yasuda
(Tokyo Metropolitan University)