Model-independent bounds probing on the electromagnetic dipole moments of the $\tau$-lepton at the CLIC

Abstract

We establish model independent bounds on the anomalous magnetic and electric dipole moments of the tau-lepton using the two-photon processes $\gamma \gamma \to {\tau }^{+}{\tau }^{-}$ and $\gamma \gamma \to {\tau }^{+}{\tau }^{-}\gamma$. We use $\mathcal{L}=10,50,100,300,500,1000,1500,2000,3000f{b}^{-1}$ of data collected with the future $e^{+}{e}^{-}$ linear collider such as the CLIC at $\sqrt{s}=380,1500,3000GeV$ and we consider systematic uncertainties of ${\delta }_{sys}=0,3,5\%$. Precise bounds at $95\%$ C. L. on the anomalous dipole moments to the tau-lepton $-0.00015\le {\tilde{a}}_{\tau }\le 0.00017$ and $|{\tilde{d}}_{\tau }(ecm)|=9.040\times 10^{-19}$ are set from our study. Our results show that the processes under consideration are a very good prospect for probing the dipole moments of the tau-lepton at the future $e^{+}{e}^{-}$ linear collider at the $\gamma \gamma$ mode.

38 pages, 26 figures