Simple, natural model of leptons are presented in which the rare decays $\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma}$ and $\ensuremath{\mu}\ensuremath{\rightarrow}3e$ occur. The models require doubly charged leptons. The experimental lower limit on the mass of doubly charged leptons determines an upper limit on $\frac{\ensuremath{\Gamma}(\ensuremath{\mu}\ensuremath{\rightarrow}3e)}{\ensuremath{\Gamma}(\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma})}$. Parity nonconservation in atoms may be small.
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