Minimal 3-3-1 model, lepton mixing and muonium-antimuonium conversion

We investigate constraints imposed by lepton mixing and muonium-antimuonium conversion in a minimal version of 3-3-1 model. Demanding agreement with recent results on neutrino oscillation we show that minimal 3-3-1 has to be extended in order to correctly accommodate its mixing pattern. On the other hand muonium-antimuonium conversion puts a lower bound on the vector bilepton mass in a specific configuration of this model, threatening its self-consistency. We then assume that neutrino physics can be handled separately by the required extension, and include the scalar bileptons contribution in the muonium-antimuonium conversion analysis in order to see if this can soften the vector bilepton bound. We find that effects of scalars are highly suppressed and do not represent any improvement on this bound in the minimal version of 3-3-1