Supersymmetric Lepton Flavour Violation at the LHC and LC

In supersymmetric extensions of the Standard Model, the Yukawa and/or mass terms of the heavy neutrinos can generate lepton flavour violating slepton mass terms. These new supersymmetric sources of lepton flavour violation may both enhance the rates of charged lepton flavour violating processes, l_a -> l_b y, and generate distinct final states, like l_b l_a + jets + missing E_T, at future colliders. First, we discuss the sensitivity of future e^+e^- colliders to the SLFV independently of the lepton flavour violating mechanism. Second, we study lepton flavour violating slepton pair production and decay at a future e^+e^- linear collider in the context of the seesaw mechanism in mSUGRA post-LEP benchmark scenarios. We investigate the correlations of these signals with the corresponding lepton flavour violating rare decays l_a -> l_b y, and show that these correlations are particularly suited for probing the origin of lepton flavour violation