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We study the CP-conserving and CP-violating dimension-six operators ofHiggs-gauge boson couplings via $pp\to\gamma\gamma$+n-jet signal process in astrongly interacting light Higgs based effective field theory framework at thecenter of mass energy of 100 TeV. In order to perform a simulation whichincludes realistic detector effects, the signal events in the existence of$\bar{c}_{\gamma} $, $\tilde{c}_{\gamma}$, $\bar{c}_{g} $ and $\tilde{c}_{g}$Wilson coefficients and the relevant SM background events are generated inMadGraph, then passed through Pythia 8 for parton showering and finally runDelphes with FCC-hh detector card. In our analysis, we focus on the kinematicvariables of the two photons in the final states of signal and relevantbackground processes that can reconstruct Higgs boson. We obtain constraints onthe four Wilson coefficients of dimension-six operators using the transversemomentum distribution of reconstructed di-photon system with optimizedkinematic cuts. The obtained 95\% confidence level limits on these four Wilsoncoefficients including detector effects at $\sqrt s$=100 TeV with an integratedluminosity of 30 ab$^{-1}$ without systematic error are at least one order ormore better than current experimental limits reported by ATLAS experiment. Evenwith $\delta_{sys}=2 \%$ systematic error, we find comparable limits withcurrent experimental results.

Prospective constraints on anomalous Higgs boson interactions in an effective Lagrangian via diphoton production at FCC-hh