Constraints on the anomalous Higgs boson couplings in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si37.svg"> <mml:mrow> <mml:mi>Z</mml:mi> <mml:mi>γ</mml:mi> <mml:mi>γ</mml:mi> </mml:mrow> </mml:math> production at muon collider

We investigate the sensitivities on the Wilson coefficients of dimension-six operators associated with the anomalous H γ γ , H γ Z and H Z Z vertices through the process μ − μ + → Z γ γ 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 σ and 5 σ on the coefficients c ‾ H B and c ‾ H W are obtained without and with systematic uncertainty of 15% and compared with the present experimental and phenomenological limits.