Constraints on the anomalous Higgs boson couplings in Zγγ production at muon collider

We investigate the sensitivities on the Wilson coefficients of dimension-six operators associated with the anomalous Hγγ, HγZ and HZZ vertices through the process μ−μ+→Zγγ 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., 3σ and 5σ on the coefficients c‾HB and c‾HW are obtained without and with systematic uncertainty of 15% and compared with the present experimental and phenomenological limits.