In lepton-flavour-violating new physics models where heavy states do not couple to right-handed charged leptons, one-loop electric dipole moments vanish in both the mass and Yukawa bases, leaving two-loop effects as the leading contribution.
Electric Dipole Moments of Leptons in the Presence of Majorana Neutrinos
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abstract
We calculate the two-loop diagrams that give a non-zero contribution to the electric dipole moment d_l of a charged lepton l due to possible Majorana masses of neutrinos. Using the example with one generation of the Standard Model leptons and two heavy right-handed neutrinos, we demonstrate that the non-vanishing result for d_l first appears in order O(m_l m_\nu^2 G_F^2), where m_\nu is the mass of the light neutrino and the see-saw type relation is imposed. This effect is beyond the reach of presently planned experiments.
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Left-Handed Physics is not right for EDMs
In lepton-flavour-violating new physics models where heavy states do not couple to right-handed charged leptons, one-loop electric dipole moments vanish in both the mass and Yukawa bases, leaving two-loop effects as the leading contribution.