We study the constraints of the CP violation in the muon preferred region of the minimal supersymmetric standard model assuming a universal slepton masses within first two generations. We present two particular scenarios where the anomaly is predicted within 2 level mainly through the chargino loop or the bino loop. We found that for both cases the electron EDM experiment already highly constrained the CP phase of the parameters: either the Arg[ or Arg[ should be smaller than (2-3). If the muon anomaly is explained by the MSSM, a particular SUSY breaking mechanism is needed to guarantee the small CP phase of SUSY parameters. Otherwise, a tuning of is needed to cancel the phase in a general CP violated SUSY model.

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