Probing anomalous couplings using di-Higgs production in electron-proton collisions

Abstract

A proposed high energy Future Circular Hadron-Electron Collider would provide sufficient energy in a clean environment to probe di-Higgs production. Using this channel we show that the azimuthal angle correlation between the missing transverse energy and the forward jet is a very good probe for the non-standard $hhh$ and $hhWW$ couplings. We give the exclusion limits on these couplings as a function of integrated luminosity at a $95$\% C.L. using the fiducial cross sections. With appropriate error fitting methodology we find that the Higgs boson self coupling could be measured to be $g_{hhh}^{(1)}=1.00_{-0.17(0.12)}^{+0.24(0.14)}$ of its expected Standard Model value at $\sqrt{s}=3.5(5.0)$ TeV for an ultimate 10 ab${}^{-1}$ of integrated luminosity.

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