Constraints on explicit CP violation from the Brookhaven muon gÀ2 experiment

We use the recently derived CP phase dependent analytic results for the supersymmetric electroweak correction to gm22 to constrain the explicit CP phases in softly broken supersymmetry using the new physics effect seen in the g22 Brookhaven measurement. It is shown that the BNL data strongly constrain the CP violating phase um ~the phase of the Higgs mixing parameter m) and j2 @the phase of the SU~2! gaugino mass m̃2# and as much as 60–90 % of the region in the j22um plane is eliminated over a significant region of the MSSM parameter space by the BNL constraint. The region of CP phases not excluded by the BNL experiment allows for large phases and for a satisfaction of the EDM constraints via the cancellation mechanism. We find several models with large CP violation which satisfy the EDM constraint via the cancellation mechanism and produce an am SUSY consistent with the new physics signal seen by the Brookhaven experiment. The sparticle spectrum of these models lies within reach of the planned accelerator experiments.