Model-independent study on the anomalous $τ\barτγ$ couplings at the ILC
The potential of the process $γγ\rightarrow τ\barτγ$ is examined in a model-independent way using the effective Lagrangian approach for the ILC which is designed with standard configurations of 0.25 TeV/2000 fb$^{-1}$, 0.35 TeV/200 fb$^{-1}$ and 0.5 TeV/4000 fb$^{-1}$. The limits obtained for $\tilde{a}_τ$ and $\tilde{{d}_τ}$ parameters defining the anomalous $τ\barτγ$ couplings at $95\%$ confidence level and systematic uncertainties of $δ_{sys}=0,5,10 \%$ are compared with the experimental results. The best limits obtained without systematic error on the anomalous couplings are $-0.00082<\tilde{a}_τ<0.00050$ and $|\tilde{{d}_τ}|<3.5969 \times 10^{-18}$ $e\,cm$, respectively. Thus, our results show that $γγ$ collisions at the ILC lead to a remarkable improvement in the existing experimental limits on the anomalous magnetic and electric dipole moments of the tau lepton.