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    Slepton Flavor Nonuniversality, the Muon EDM and its Proposed sensitive Search at Brookhaven

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    We analyze the electric dipole moment of the electron (ded_e), of the neutron (dnd_n) and of the muon (dμd_{\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 dμ/de≃mμ/med_{\mu}/d_e\simeq m_{\mu}/m_e in the cancellation region. An analysis of de,dnd_e, d_n and dμd_{\mu} under the constraints of the current experimental limits on ded_e and dnd_n and under the constraints of the recent Brookhaven result on gμ−2g_{\mu}-2 shows that in the non-scaling region dμd_{\mu} can be as large as (10−24−10−2310^{-24}-10^{-23})ecm and thus within reach of the recently proposed Brookhaven experiment for a sensitive search for dμd_{\mu} at the level of 10−2410^{-24} ecm.Comment: 24 pages, Latex, including 5 figures with additional reference
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