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CP violating effects in the decay Z -> mu^+mu^-gamma induced by ZZgamma and Zgammagamma couplings

We analyze possible CP-violating effects induced in the $Z$ decay with hard photon radiation by $γZZ$ and $γγZ$ anomalous vertices. We estimate the sensibility of future linear collider experiments on these couplings coming from CP-odd asymmetries associated to angular correlations of the three particle final state in $e^+e^- \to Z \to μ^+μ^-γ$. We find that a linear collider with an integrated luminosity of 500 $fb^{-1}$ and $\sqrt{s} = 0.05$ TeV can place the bound $|h_1^{γ,Z}| < 0.92$ at the 90% confidence level for these couplings.