We present full renormalization group equations for the MSSM with $R$-parity violation, including all soft supersymmetry-breaking terms. The inclusion of dimensionless $R$-parity-violating couplings can generate many possible low energy effects through the generation of off-diagonal soft masses violating lepton and quark flavor, and through the generation of lepton-Higgs-superfield mixing. We discuss the relation between the weak and unification scale $R$-parity violation and study the effects on neutrino mass generation and $\mu \to e\gamma$.

• Received 23 February 1996

DOI:https://doi.org/10.1103/PhysRevD.54.3427