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

Abstract

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 $d_{\mu }/d_e\simeq m_{\mu }/m_e$ 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 non-scaling region $d_{\mu }$ 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 $d_{\mu }$ at the level of $10^{-24}$ ecm.

24 pages, Latex, including 5 figures with additional references

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• Lepton Electric Dipole Moments from Heavy States Yukawa Couplings
• The Contribution from Neutrino Yukawa Couplings to Lepton Electric Dipole Moments
• Effects of the Neutrino B-term on Slepton Mixing and Electric Dipole Moments
• On Power and Complementarity of the Experimental Constraints on Seesaw Models
• Effective Lagrangian approach to fermion electric dipole moments induced by a CP--violating $WW\gamma$ vertex
• A large Muon Electric Dipole Moment from Flavor?
• Probing New Physics in the Vector-like Lepton Model by Lepton Electric Dipole Moments