Abstract

We discuss muon number non-conserving processes in two models of weak and electromagnetic interactions. In the first model there are six leptons with purely left-handed weak currents, while the second model has been recently proposed by Cheng and Li. In particular we study the process μ + nucleus → e + nucleus and find that in some cases, including the first model, it offers a more sensitive probe of muon number conservation than the decay μ → e γ. We also improve the existing calculations of other decays in that, for the first model, our results are exact in the mass of the heavy neutral lepton while for the Cheng-Li model we go beyond the leading logarithmic approximation for gm → 3e.

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