CP phases in supersymmetric tri-lepton signals at the Tevatron

We have analyzed the supersymmetric tri-lepton signals for sparticle searches at the Tevatron in the minimal supersymmetric standard model with general CP phases without generational mixing. The CP phases may affect strongly the chargino and neutralino mass spectra and σ(pp̄→χ̃−1χ̃02) as well as B(χ̃−1→χ̃01ℓ−ν) and B(χ̃02→χ̃01ℓ+ℓ−). Even under the stringent constraints from the electron electric dipole moment the CP phases can lead to a minimum of the tri-lepton event rate for their non-trivial values.