Probing the anomalous triple $ZZ\gamma$ and $Z\gamma\gamma $ couplings at the FCC-$\mu p$ and SPPC-$\mu p$

Abstract

In this study, 24.5 TeV CoM energy FCC-$\mu p$ and 20.2 TeV CoM energy SPPC-$\mu p$ muon-proton colliders have been utilized to explore the anomalous $ZZ\gamma$ and $Z\gamma\gamma$ couplings corresponding to dim-8 operators through the process of $\mu^- \gamma \to Z l^{-} \to l^{-} \tilde{\nu_{l}} \nu_{l}$. A cut-based method has been applied to enhance the signal background ratio in the analysis. Coupling sensitivities, at a 95\% Confidence Level (C.L.), under the systematic uncertainties of 0\% and 5\%, were obtained with luminosities of ${\cal L}_{int}=5$ and 42.8 fb$^{-1}$ for FCC-$\mu p$ and SPPC-$\mu p$ colliders, respectively. The sensitivities for anomalous $C_{BB}/\Lambda^{4}$, $C_{\tilde{B}W}/\Lambda^{4}$, $C_{BW}/\Lambda^{4}$ and $C_{WW}/\Lambda^{4}$ couplings without systematic uncertainty for FCC-$\mu p$ and SPPC-$\mu p$ were found as follows, respectively: [0.068; 0.070] TeV-4, [-0.187; 0.184] TeV-4, [-0.236; 0.238] TeV-4, [-0.619; 0.621] TeV-4, and [-0.066; 0.051] TeV-4, [-0.158; 0.151] TeV-4, [-0.207; 0.192] TeV-4, [-0.514; 0.522] TeV-4.