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The littlest Higgs model is the most economical one among various littleHiggs models. In the context of the littlest Higgs(LH) model, we study theprocess $e^{-}\gamma\to \nu_{e}W^{-}H$ and calculate the contributions of theLH model to the cross section of this process. The results show that, in mostof parameter spaces preferred by the electroweak precision data, the value ofthe relative correction is larger than 10%. Such correction to the process$e^{-}\gamma\to \nu_{e}W^{-}H$ is large enough to be detected via $e^{-}\gamma$collisions in the future high energy linear $e^{+}e^{-}$ collider($LC$)experiment with the c.m energy $\sqrt{s}$=500 GeV and a yearly integratedluminosity $\pounds=100fb^{-1}$, which will give an ideal way to test themodel.Comment: 13 pages, 4 figure

communications in theoretical physics/communications in theoretical physics

Correction of the Littlest Higgs Model to Higgs Production Process e − γ→ν e W − H in e − γ Collisions