# Projections for Neutral Di-Boson and Di-Higgs Interactions at FCC-he Collider

## TL;DR

This paper investigates the potential of the FCC-he collider to probe Higgs boson couplings, specifically CP-even and CP-odd Wilson coefficients, through simulated di-Higgs production processes.

## Contribution

It introduces a detailed analysis of Higgs couplings at FCC-he using effective Lagrangian models and provides projected exclusion limits for these couplings.

## Key findings

- Projected exclusion limits at 68% and 95% C.L.
- Sensitivity analysis for different electron beam energies.
- Simulation results for di-Higgs production at FCC-he.

## Abstract

As a high energy e-p collider, FCC-he, has been recently proposed with sufficient energy options to investigate Higgs couplings. To analyse the sensitivity on the Higgs boson couplings, we focus spesifically 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 $e^{-}p\to hhje^{-}$ . 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.