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Abstract
We listed all possible dimension-six CP-violating \(SU_c(3)\times SU_L(2)\times U_Y(1)\)
invariant operators involving the third-family quarks, which can be generated by new
physics at a higher energy scale. The expressions of these operators after electroweak
symmetry breaking and the induced effective couplings \(Wt\bar b\), \(Xb\bar b\) and \(Xt\bar
t\) \((X=Z,\gamma,g,H)\) are also presented. We have evaluated sample contributions of
these operators to CP-odd asymmetries of transverse polarization of top quark in single
top production at the upgraded Tevatron, the similar effect in top-antitop pair production
at the NLC, and the CP-odd observables of momentum correlations among the top quark
decay products at the NLC. The energy and luminosity sensitivity in probing these
CP-violating new physics has also been studied.