2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205375In the framework of the little Higgs models and the three-site Higgsless model, we discuss the contributions of the new charged gauge boson $W'$ to the process $eq\toνq'$ and the possibility of detecting $W'$ via this process in future high energy linear $e^{+}e^{-}$ collider $(ILC)$ and $ep$ collider $(THERA)$ experiments. Our numerical results show that the process $eq\toνq'$ is rather sensitive to the coupling $W'ff'$ and one can use this process to distinguish different new physics models in future $ILC$ and $THERA$ experiments.18 pages, 6 figures, typos corrected, references addedHigh Energy Physics - PhenomenologyThe new charged gauge boson $W'$ and the subprocess $eq\toνq'$ at $e^{+}e^{-}$ and $ep$ colliderstext