Abstract
In our previous work [Phys. Rev. D 70, 037503 (2004)] for the ${e}^{+}p\ensuremath{\rightarrow}t\overline{\ensuremath{\nu}}+X$ process, we have shown that the top quark possesses a high degree of spin polarization when its spin decomposition axis is along the incoming lepton beam. In this work, the potential of $ep$ collisions to probe an anomalous $Wtb$ vertex is investigated via the polarized single top quark production process for $\mathrm{TESLA}+\mathrm{HERAp}$ energy. The effects of the top quark polarization to $Wtb$ couplings ${F}_{2L}$ and ${F}_{2R}$ are discussed. It is possible to define a polarization axis for the top quark that is more sensitive to new physics than the unpolarized case.
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