Slepton flavor nonuniversality, the muon electric dipole moment, and its proposed sensitive search at Brookhaven

We analyze the electric dipole moment of the electron (d(e)), of the neutron (d(n)), and of the muon (d mu), 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 d(mu)/d(e) similar or equal tom(mu)/m(e) in the cancellation region. An analysis of d(e), d(n), and d(mu) under the constraints of the current experimental limits on d(e) and d(n), and under the constraints of the recent Brookhaven result on g(mu) - 2, shows that in the nonscaling region, d(mu) can be as large as (10(-24)- 10(- 23))e cm and thus within reach of the recently proposed Brookhaven experiment for a sensitive search for d(mu) at the level of 10(-24) e cm.