We analyse CP-violating effects in Z to 4 jet decays, assuming the presence of CP-violating effective $Z b bar{b} G$ and $Z b bar{b} G G$ couplings. We discuss the influence of these couplings on the decay width. Furthermore, we propose various strategies of a direct search for such CP-violating couplings by using different CP-odd observables. The present data of LEP 1 should give significant information on the couplings.
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