Constraints on explicit CP violation from the Brookhaven muon g-2 experiment - art. no. 016010

We use the recently derived CP phase dependent analytic results for the sup ersymmetric electroweak correction to g(mu)-2 to constrain the explicit CP phases in softly broken supersymmetry using the new physics effect seen in the g-2 Brookhaven measurement. It is shown that the BNL data strongly cons train the CP violating phase theta (mu) (the phase of the Higgs mixing para meter mu) and xi (2) [the phase of the SU(2) gaugino mass (m) over tilde (2 )] and as much as 60-90% of the region in the xi (2)-theta (mu) plane is el iminated over a significant region of the MSSM parameter space by the BNL c onstraint. The region of CP phases not excluded by the BNL experiment allow s for large phases and for a satisfaction of the EDM constraints via the ca ncellation mechanism. We find several models with large CP violation which satisfy the EDM constraint via the cancellation mechanism and produce an a( mu)(SUSY) consistent with the new physics signal seen by the Brookhaven exp eriment. The sparticle spectrum of these models lies within reach of the pl anned accelerator experiments.