In the framework of the littlest Higgs($LH$) model, we study single production of the standard model($SM$) gauge boson $W_{ s}^{ -}$ and the heavy gauge boson $W_{ H}^{ -}$ via polarized $e^{ -}\gamma$ collisions. We find that the corrections of the $LH$ model to the cross section $\sigma(W_{ s}^{ -})$ might be observed only for the scale parameter $f\leq 1.5TeV$ and the mixing parameter $c'\geq 0.4$ in future high energy linear $e^{ +}e^{ -}$ collider($LC$) experiment with the center-of-mass($CM$) energy $\sqrt{ S}=500GeV$ and a yearly integrated luminosity $\pounds=100fb^{ -1}$. However, with a suitably chosen polarization of the initial electron and position beams, the possible signals of the heavy gauge boson $W_{ H}^{ -}$ can be easily detected via $e^{ -}\gamma$ collisions in future $LC$ experiment with $\sqrt{ S}=3TeV$ and $\pounds=500fb^{ -1}$.
Categories: hep-ph