Constraints on the anomalous Higgs boson couplings in $Z\gamma \gamma$ production at muon collider

We investigate the sensitivities on the Wilson coefficients of dimension-six operators associated with the anomalous $H\gamma \gamma$, $H\gamma Z$ and $HZZ$ vertices through the process ${\mu }^{-}{\mu }^{+}\to Z\gamma \gamma$ at future muon collider. Signal events involving Higgs-gauge boson interactions and relevant backgrounds events at the muon collider designed with a center-of-mass energy of 10 TeV and an integrated luminosity of 10 ab${}^{-1}$ are generated in Madgraph within the framework of the model-independent Standard Model effective field theory. Realistic detector effects of the muon collider detector are simulated by Delphes. The limits at 95% C.L., $3\sigma$ and $5\sigma$ on the coefficients ${\bar{c}}_{HB}$ and ${\bar{c}}_{HW}$ are obtained without and with systematic uncertainty of 15% and compared with the present experimental and phenomenological limits.