Investigation of anomalous triple gauge couplings in $μγ$ collision at multi-TeV muon colliders

Abstract

The pursuit of discovery in particle physics has always required study at the highest possible energies. Multi-TeV muon colliders, which have important advantages, offer unprecedented potential for investigating new physics beyond the Standard Model. We extensively assume a range of center-of-mass energies from 3 to 30 TeV and a range of integrated luminosities from 1 to 90 ab$^{-1}$ for future multi-TeV muon colliders. We perform a phenomenological study of the anomalous $WWγ$ couplings via the process $μ^+ μ^-\,\rightarrow\,μ^+γ^* μ^-\,\rightarrow\,μ^+\ell^-ν_\ell \barν_\ell$ using a model-independent analysis in the effective field theory framework at multi-TeV muon colliders. The sensitivity estimates obtained for the anomalous $WWγ$ couplings at systematic uncertainties of $δ_{sys}=0$, $3$, $5\%$ are compared with the experimental results. Our best sensitivity limits at 95$\%$ confidence level for $c_{WWW}/{Λ^2}$, $c_{\widetilde{W}WW}/Λ^2$, $c_{B}/{Λ^2}$, $c_{W}/{Λ^2}$ and $c_{\widetilde{W}}/Λ^2$ couplings are $[-0.030; 0.025]\,\text{TeV}^{-2}$, $[-0.014; 0.014]\,\text{TeV}^{-2}$, $[-0.185; 0.187]\,\text{TeV}^{-2}$, $[-0.187; 0.189]\,\text{TeV}^{-2}$ and $[-1.177; 1.097]\,\text{TeV}^{-2}$ at the multi-TeV muon collider with center-of-mass energy of 30 TeV and integrated luminosity of 90 ab$^{-1}$, respectively.