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The search of the light Higgsino {in the Minimal Supersymmetric StandardModel (MSSM)} is a crucial test for the criteria of the naturalness insupersymmetry. On the other hand, the direct production of light Higgsino isalso known as one of the most challenging SUSY searches at the current CERNLarge Hadron collider (LHC). The lack of visible leptons due to the compressedspectrum and their small production rates limits their discovery potential inboth mono-jet plus MET as well as the weak boson fusion (WBF) production. Thesignal $S/B$ ratio prediction is usually within the background systematicuncertainties at the LHC. Without color exchange between the beams, the $e-p$colliders are well-known to have the WBF feature. Therefore, we study thesearch of the light Higgsinos at two future $e-p$ colliders at CERN, LHeC andFCC-eh.~The light Higgsinos will be produced in pair through weak boson fusionwith controlled background at these colliders. We find the Higgsino of95/145~GeV can be reached at 2$\sigma$ level at the future LHeC/FCC-eh with aluminosity $3 ~\text{ab}^{-1}$ respectively.

Searching for the light Higgsinos in MSSM at the future e-p colliders