Investigation of anomalous triple gauge couplings in $\mu \gamma$ 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 $WW\gamma$ couplings via the process ${\mu }^{+}{\mu }^{-}\to {\mu }^{+}{\gamma }^{\ast }{\mu }^{-}\to {\mu }^{+}{\ell }^{-}{\nu }_{\ell }{\bar{\nu }}_{\ell }$ using a model-independent analysis in the effective field theory framework at multi-TeV muon colliders. The sensitivity estimates obtained for the anomalous $WW\gamma$ couplings at systematic uncertainties of ${\delta }_{sys}=0$, $3$, $5\%$ are compared with the experimental results. Our best sensitivity limits at 95$\%$ confidence level for $c_{WWW}/{\Lambda }^2$, $c_{\tilde{W}WW}/{\Lambda }^2$, $c_B/{\Lambda }^2$, $c_W/{\Lambda }^2$ and $c_{\tilde{W}}/{\Lambda }^2$ 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.

23 pages, 5 figures, 9 tables

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