CP violation in the partial width difference of the scalar electron decay due to the complex gaugino masses

We calculate, in the softly broken supersymmetrized standard model, the partial width difference, Γ(ẽL→eLω)−Γ(ẽ̄L→ēLω), for the scalar electron decay into the electron and the neutral wino ω. Similarly, our analysis applies to the partial width difference, Γ(ẽL→eLω)−Γ(ẽ̄L→ēLω), for the scalar electron decay into the electron and the bino β. The CP asymmetry is assumed to arise from the complex gaugino masses. Even in limit that the electron mass me is vanishing, the difference can be of the order of α.