  We study the leptonic CP violation by employing the complete set of
dimension-six pure leptonic effective operators. Connection among the
observable at different energy scales can be made by the running of the
renormalization group equations. Explicitly, we study the charged lepton
electric dipole moment, muon Michel decay, and the triple spin-momentum
correlations at the Linear Collider. We found the electron electric dipole
moment, which starts at 2-loop level, severely constrains the possibilities to
detect the CP violating signatures in muon decay and at the linear colliders.
