Measuring Leptonic CP Violation by Low Energy Neutrino Oscillation Experiments

Abstract

We uncover an interesting phenomenon that neutrino flavor transformation in slowly varying matter density imitates almost exactly that of vacuum neutrino oscillation under suitably chosen experimental parameters. It allows us to have relatively large CP violating measure \Delta P \equiv P(\nu_{\mu} \to \nu_e) - P(\bar{\nu}_{\mu} \to \bar{\nu}_e) which is essentially free from matter effect contamination. We utilize this phenomenon to design a low-energy long-baseline neutrino oscillation experiment to measure the leptonic CP violating phase.