R-parity violation effects through soft supersymmetry-breaking terms and the renormalization group.

We present full renormalization group equations for the MSSM with {ital R}-parity violation, including all soft supersymmetry-breaking terms. The inclusion of dimensionless {ital 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{endash}Higgs-superfield mixing. We discuss the relation between the weak and unification scale {ital R}-parity violation and study the effects on neutrino mass generation and {mu}{r_arrow}{ital e}{gamma}. {copyright} {ital 1996 The American Physical Society.}