Photoproduction of the charged top-pions at the LHeC

The top triangle moose $(TTM)$ model, which can be seen as the deconstructed version of the topcolor-assisted technicolor ($TC2$) model, predicts the existence of the charged top-pions $ \pi_{t}^{\pm}$ in low energy spectrum. In the context of this model, we consider photoproduction of $\pi^{\pm}_{t}$ via the subprocesses $\gamma b\to t \pi_{t}^{-}$ and $\gamma \bar{b}\to \bar{t} \pi_{t}^{+}$ at the large hadron-electron collider ($LHeC$), in which high energy photon beams are generated by using the Compton backscatting method. We find that, as long as the charged top-pions are not too heavy, they can be abundantly produced via $\gamma b$ collision.