Slepton flavor nonuniversality, the muon electric dipole moment, 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 ${(d}_{\ensuremath{\mu}}),$ 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 ${d}_{\ensuremath{\mu}}{/d}_{e}\ensuremath{\simeq}{m}_{\ensuremath{\mu}}{/m}_{e}$ in the cancellation region. An analysis of ${d}_{e},$ ${d}_{n},$ and ${d}_{\ensuremath{\mu}}$ under the constraints of the current experimental limits on ${d}_{e}$ and ${d}_{n},$ and under the constraints of the recent Brookhaven result on ${g}_{\ensuremath{\mu}}\ensuremath{-}2,$ shows that in the nonscaling region, ${d}_{\ensuremath{\mu}}$ can be as large as ${(10}^{\ensuremath{-}24}\ensuremath{-}{10}^{\ensuremath{-}23})e\mathrm{cm}$ and thus within reach of the recently proposed Brookhaven experiment for a sensitive search for ${d}_{\ensuremath{\mu}}$ at the level of ${10}^{\ensuremath{-}24}e\mathrm{cm}.$