Some Remarks on the Search for CP Violation in Z-Decays

We discuss some issues arising in the search for CP violation in the decays Z -> tau+ tau- and Z -> b \bar b X. The form-factor and the effective Lagrangian approach to parametrize CP-violating effects are compared. We emphasize the interest to study both real and imaginary parts of CP-violating form factors like the weak dipole moment form factor d_tau^Z(m^2_Z) of the tau-lepton. We propose an 'optimal' way to search for CP violation when Z -> b \bar b X events have to be selected on a statistical basis from the total number of Z hadronic decays.