Muon Number Violating Processes in Single Particle Extensions of the Standard Model

We study the one-loop induced muon number processes when the standard model is minimally extended to include a $\rm SU(2)$ singlet of a charged scalar $h^+$ and a neutral fermion $N$. We find that $\mu \rightarrow e \gamma$ is more sensitive for the former model whereas $\mu-e$ conversion in nuclei for the latter. Effects of a scalar leptoquark $y^{1/3}$ and a heavy vector fermion $E^-$, which induce tree level rare muon decays, are also discussed.