We analyze the electric dipole moment of the electron (de​), of the neutron
(dn​) and of the muon (dμ​) using the cancellation mechanism in the
presence of nonuniversalities of the soft breaking parameters. It is shown that
the nonuniversalities in the slepton sector produce a strong violation of the
scaling relation dμ​/de​≃mμ​/me​ in the cancellation region. An
analysis of de​,dn​ and dμ​ under the constraints of the current
experimental limits on de​ and dn​ and under the constraints of the recent
Brookhaven result on gμ​−2 shows that in the non-scaling region dμ​
can be as large as (10−24−10−23)ecm and thus within reach of the
recently proposed Brookhaven experiment for a sensitive search for dμ​ at
the level of 10−24 ecm.Comment: 24 pages, Latex, including 5 figures with additional reference