R-parity Violation Effects through Soft Supersymmetry Breaking Terms and the Renormalisation Group

Abstract

We present full renormalisation 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 flavour, and through the generation of lepton-Higgs mixing. We discuss the relation between the weak and unification scale R-parity violation and study the effects on neutrino mass generation and $\mu \to e\gamma$.

Comments: 41 pages plain LaTeX, 15 figures all uuencoded and gzipped (typos fixed and trivial changes ready for Phys. Rev. D)