Single Production of Vector-Like Top Quark in the Littlest Higgs Model at TeV Energy e-γ Colliders

The existence of a new coloured vector-like heavy fermion T is a crucial prediction in little Higgs models, which play a key role in breaking the electroweak symmetry. The littlest Higgs model is the most economical one among various little Higgs models. In the context of the littlest Higgs model, we study single production of the new heavy vector-like quark and discuss the possibility of detecting this new particle in the future LC experiment. It is found that the production cross section is in the range of 1.7×10^-3-30fb at TeV energy electron--photon collider with √s=3TeV and a yearly integrated luminosity of £=500fb^-1.