Projections for model-independent sensitivity estimates on top-quark anomalous electromagnetic couplings at the FCC-he

The measurement of the top-quark anomalous electromagnetic couplings is one of the most important goals of the top-quark physics program in the present and future collider experiments. This would provide direct information on the non-standard interactions of the top-quark. We study a top-quark pair production scenario at the Future Circular Collider Hadron-Electron (FCC-he) through $e^{-}p\to e^{-}{\gamma }^{\ast }{\gamma }^{\ast }p\to e^{-}t\bar{t}p$ collisions, which will provide information about sensitivities on anomalous ${\widehat{a}}_V$ and ${\widehat{a}}_A$ couplings at $95\mathrm{\%}C\mathrm{.}L\mathrm{.}$, and the possibility of probing new physics. Energy of the $e^{-}$ beams is taken to be $E_e=250GeV$ and $500GeV$ and the energy of the $p$ beams is taken to be $E_p=50TeV$, with these energies the FCC-he may sensitivity estimates on top-quark electromagnetic dipole moments ${\widehat{a}}_V$ and ${\widehat{a}}_A$ of the order $\mathcal{O}({10}^{-2}-{10}^{-1})$.