Exploring CP-even scalars of a Two Higgs-doublet model in future e ^- P colliders

In this proceeding we shall explore the potential of a future e ^- p collider to probe the CP-even scalars in a two Higgs doublet model. We consider Type-I in this study. The mass of the lighter scalar particle is considered to be the Higgs-boson, m_h = 125 GeV, and a heavy scalar m_H = 270 GeV. The centre of mass energy for the e ^- p collision is considered as in the Large Hadron Electron Collider and the Future Circular Hadron Electron Collider configurations, by fixing the proton beam energy to be E_p = 7 and 50 TeV, respectively, and an electron beam energy of E_e = 60 GeV. Production cross sections of these scalars are also shown at higher electron beam energies. Future prospects of these studies are also discussed.