CP violating couplings in Z -> 3 jet decays revisited

Abstract

Possible CP violating effects in $Z\rightarrow$ 3 jet decays are investigated. The analysis assumes the presence of CP violating $Zq\bar qG$ couplings. The contribution of these couplings to the $Z\rightarrow q\bar qG$ decay width is calculated for different cut algorithms, including nonzero quark masses. Various CP--odd observables are discussed and it is shown that their sensitivity can change significantly if one uses normalized or unnormalized momentum vectors for their construction. Optimal observables are proposed which allow to measure the new couplings simultaneously.