Supersymmetric phases, the electron electric dipole moment and the muon magnetic moment
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The electron electric dipole moment (de) and the muon magnetic moment anomaly (a) recently observed at BNL are analyzed within the framework of SUGRA models with CP violating phases at the GUT scale. It is seen analytically that even if de were zero, there can be a large B-ino mass phase (ranging from 0 to 2) with a corresponding large B soft breaking mass phase (of size 0.5 with the sign fixed by the experimental sign of a). The dependence of the B phase on the other SUSY parameters, the gaugino mass1/2, tan ,A0, is examined. The lower bound of a determines the upper bound of m1/2. It is shown analytically how the existence of a nonzero -ino phase reduces this upper bound (which would correspondingly lower the SUSY mass spectra). The experimental upper bound on de determines the range of allowed phases, and the question of whether the current bound on de requires any fine-tuning is investigated. At the electroweak scale, the phases have to be specified to within a few percent. At the GUT scale, however, the B phase requires fine-tuning below the 1% level over parts of the parameter space for low m1/2, and if the current experimental bound on de were reduced by only a factor of 3-4, fine-tuning below 1% would occur at both the electroweak and GUT scales over large regions of the parameter space. All accelerator constraints (mh>114 GeV, bs, etc.) and relic density constraints with all stau-neutralino coannihilation processes are included in the analysis. 2001 The American Physical Society.