  In minimal supersymmetric seesaw models, the contribution to lepton flavour
violation from Z-penguins is usually negligible. In this study, we consider the
supersymmetric inverse seesaw and show that, in this case, the Z-penguin
contribution dominates in several lepton flavour violating observables due to
the low scale of the inverse seesaw mechanism. Among the observables
considered, we find that the most constraining one is the muon to electron
conversion rate which is already restricting the otherwise allowed parameter
space of the model. Moreover, in this framework, the Z-penguins exhibit a
non-decoupling behaviour, which has previously been noticed in lepton flavour
violating Higgs decays.
