Lepton number nonconservation in supersymmetric theories

Abstract

We consider a class of supersymmetric models lepton number nonconservation due to mixing of scalar leptons. It is shown that a range of parameters exists such that the processes μ→eγ, μ→eγγ, μ→3e, μ⁺ e ⁻→μ⁻ e ⁺ are strongly suppressed, whereas the decay$\mu \to e\tilde \gamma \tilde \gamma$ can proceed with a rate$BR(\mu \to e\tilde \gamma \tilde \gamma ) \lesssim 0.01$. The signatures of such decay can be the production of right-handed electrons with the energy aroundm _μ/3 and modification of the energy spectrum of the electrons in that region as compared with the standard model prediction.