A new strategy for probing the Majorana neutrino CP violating phases and masses

We propose a new strategy for detecting the CP-violating phases and the effective mass of muon Majorana neutrinos by measuring observables associated with neutrino-antineutrino oscillations in ${\pi }^{\pm }$ decays. Within the generic framework of quantum field theory, we compute the non-factorizable probability for producing a pair of same-charged muons in ${\pi }^{\pm }$ decays as a distinctive signature of ${\nu }_{\mu }-\overline{{\nu }_{\mu }}$ oscillations. We show that an intense neutrino beam through a long baseline experiment is favored for probing the Majorana phases. Using the neutrino-antineutrino oscillation probability reported by MINOS collaboration, a new stringent bound on the effective muon-neutrino mass is derived.