The limits placed by the non-measurement of atomic and neutron electric dipole moments on CP violating phases beyond the SM are found to be not fully justified since the calculations of the expected EDMs lack the full understanding of the connection between perturbative and nonperturbative regimes of QCD for the measured bound states. As a consequence, rather old subroutines for the evaluation of EDMs are still usable.

PACS numbers: 11.30.Er, 12.38.Aw