Feasibility at the LHC, FCC-he and CLIC for sensitivity estimates on anomalous $\tau$-lepton couplings

Abstract

In this paper, we present detailed studies on the feasibility at $pp$, $e^{-}p$ and $e^{+}{e}^{-}$ colliders for model-independent sensitivity estimates on the total cross-section and on the anomalous ${\tau }^{+}{\tau }^{-}\gamma$ interaction through the tau pair production channels $pp\to p\tau \bar{\tau }\gamma p$, $e^{-}p\to e^{-}\tau \bar{\tau }\gamma p$ and $e^{+}{e}^{-}\to e^{+}\tau \bar{\tau }\gamma e^{-}$ at the ${\gamma }^{\ast }{\gamma }^{\ast }\to {\tau }^{+}{\tau }^{-}\gamma$ mode. Measurements of the anomalous couplings of the $\tau$-lepton ${\tilde{a}}_{\tau }$ and ${\tilde{d}}_{\tau }$ provide an excellent opportunity to probing extensions of the Standard Model. We estimate the sensitivity at the $95\%$ Confidence Level, and we consider that the $\tau$-lepton decays leptonically or semi-leptonically. We found that of the three considered colliders, the future CLIC at high energy and high luminosity should provide the best sensitivity on the dipole moments of the $\tau$-lepton ${\tilde{a}}_{\tau }=[-0.00128,0.00105]$ and $|{\tilde{d}}_{\tau }(\mathrm{ecm})|=6.4394\times 10^{-18}$, which show a potential advantage compared to those from LHC and FCC-he.

Comments: 36 pages, 20 Figures, and 5 Tables