We study the rare decays of charged π mesons, π+ → e+e+μ-ν̄μ and π+ → e+μ-e+νe induced by a sterile neutrino N with a mass in the range mμ < mN < mπ. The first process violates Lepton Number by two units and so occurs only if N is Majorana, while the second process conserves Lepton Number and occurs irrespective of the Majorana or Dirac character of N. We study a way to distinguish the Majorana vs. Dirac character of N in these processes using the muon spectrum. We also find that the branching ratios could be at the reach of high luminosity experiments like Project X at FNAL or any proposed neutrino (or muon) factories worldwide.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics