Muonium-antimuonium conversion in models with heavy neutrinos

We study muonium-antimuonium conversion and μ+e-→μ-e+ scattering within two different lepton-flavor-violating models with heavy neutrinos: model I is a typical seesaw that violates lepton number as well as flavor; model II has a neutrino mass texture where lepton number is conserved. We look for the largest possible amplitudes of these processes that are consistent with current bounds. We find that model I has very limited chance of providing an observable signal, except if a finely tuned condition in parameter space occurs. Model II, on the other hand, requires no fine tuning and could cause larger effects. However, the maximum amplitude provided by this model is still 2 orders of magnitude below the sensitivity of current experiments: one predicts an effective coupling GMM̄ up to 10-4GF for heavy neutrino masses near 10 TeV. We have also clarified some discrepancies in previous literature on this subject.