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In the context of supersymmetry, the two-loop Barr-Zee diagrams which induceCP-violating electric dipole moment of electron due to superpartnerssimultaneously yield CP-conserving magnetic dipole moment of muon. In thispaper, we derive the coherence between the electric and magnetic dipole momentsat two-loop level due to stops, charginos or neutralinos-charginos. We also usethe coherence to constrain superpartner masses and their CP-violating phases,in the light of recent ACME limit on the electric dipole moment of electron andfuture experiments about magnetic dipole moment of muon such as Fermilab E989experiment.

Correlated Electric and Magnetic Dipole Moment in Natural Supersymmetry