2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188077Gamma-proton collisions allow unprecedented investigations of the low x and high $Q^{2}$ regions in quantum chromodynamics. In this paper, we investigate the luminosity for "ILC"$\times$LHC ($\sqrt{s_{ep}}=1.3$ TeV) and "CLIC"$\times$LHC ($\sqrt{s_{ep}}=1.45$ TeV) based $γp$ colliders. Also we determine the laser properties required for high conversion efficiency.16, 6 figuresHigh Energy Physics - ExperimentAstrophysicsAccelerator Physicstext