Projections for neutral Di-Boson and Di-Higgs interactions at FCC-he collider

As a high energy e–p collider, FCC-he, has been recently proposed with sufficient energy options to investigate Higgs couplings. To analyze the sensitivity on Higgs boson couplings, we focus specifically on the CP-even and CP-odd Wilson coefficients with $hhZZ$ and $hh\gamma \gamma $ four-point interactions of Higgs boson with Effective Lagrangian Model through the process ${e}^{-}p\to hhj{e}^{-}$. We simulate the related processes in FCC-he, with 60 GeV and 120 GeV ${e}^{-}$ beams and 50 TeV proton beam collisions. We present the exclusion limits on these couplings both for 68% and 95% C.L. in terms of integrated luminosities.