<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-parity violation effects through soft supersymmetry-breaking terms and the renormalization group

Abstract

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 $\ensuremath{\mu}\ensuremath{\rightarrow}e\ensuremath{\gamma}$.