Measuring MSSM CP–violating Phases through Spin Correlated Supersymmetric Tri–lepton Signatures at the Tevatron

We provide a detailed analysis of the supersymmetric tri–lepton signals for sparticle searches at the Tevatron in the minimal supersymmetric standard model with general CP–violating phases but without flavor mixing among sfermions of different generation. The stringent experimental constraints on the CP–violating phases from the electron and neutron electric dipole moments are included in the analysis for two exemplary scenarios of the SUSY parameters; one with decoupled first two generation sfermions and the other with non–decoupled sfermions. In both scenarios, the production cross section and the branching fractions of the leptonic chargino and neutralino decays are sensitive to CP–violating phases. The production–decay spin correlations lead to several non–trivial CP–even observables such as the lepton invariant mass distribution and the lepton angular distribution, and several interesting T–odd (CP–odd) momentum triple products. The possibility of measuring the CP– violating phases directly through those T–odd observables is investigated in detail.