We evaluate the size of a coupling for a lepton flavor violating interaction with neutrinos (nLFV) in the minimal supersymmetric standard model with right-handed neutrinos (MSSMRN). It is expected that the nLFV interactions are detected in a long baseline neutrino oscillation experiment. We here deal with $\mu^{ -} \to e^{ -} \bar{ \nu}_{ e} \nu_{ \tau}$ in $\nu_{ \mu} \to \nu_{ \tau}$ channel at a neutrino factory. First, we show the numerical study on feasibility to observe such interaction and point out that we can search for them with some oscillation channels. Next, we make a numerical calculation for the size of the nLFV coupling in the framework of the MSSMRN. A long baseline experiment is sensitive not only to the lepton mixings in the standard model but also to new physics effect.
Categories: hep-ph