The b-quark EDM in SUSY and CP-odd bottomonium formation

Abstract

We compute the electric dipole moment (EDM) of the bottom quark in minimal supersymmetric model (SUSY) with explicit CP violation. We estimate its upper bound to be 10^(-20) e-cm where the dominant contribution comes from the charginos for most of the SUSY parameter space. We also find that chargino contribution is directly correlated with the branching fraction of the B\to X_s γdecay. Furthermore, we analyze the formation of 1 P_1 resonance of the (\bar{b}b) system in e^+ e^- annihilation, and show that the CP-violating transition amplitude, induced solely by the b-quark EDM, is significantly larger than the CP-conserving ones. Therefore, observation of this CP-odd resonance in e^+ e^- annihilation will be a direct probe of the CP-violating phases in SUSY. In case experiment cannot establish the existence of such a CP-odd (\bar{b}b) state, then either sparticle masses of all three generations will be pushed well above TeV, weakening the possibility of weak-scale SUSY, or the sparticle mass spectrum will be tuned so as to cancel different contributions to EDMs.