Abstract
In the context of the littlest Higgs (LH) model, we consider the Higgsstrahlung process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\mathrm{ZH}.$ We find that the correction effects on this process mainly come from the heavy photon ${B}^{\ensuremath{'}}.$ If we take the mixing angle parameter c in the range of 0.75--1, the contributions of the heavy gauge boson ${W}_{3}^{\ensuremath{'}}$ are larger than 6%. In most of the parameter space, the deviation of the total production cross section ${\ensuremath{\sigma}}^{\mathrm{tot}}$ from its SM value is larger than 5%, which may be detected in future high energy ${e}^{+}{e}^{\ensuremath{-}}$ collider (LC) experiments. The future LC experiments could test the LH model by measuring the cross section of the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\mathrm{ZH}.$
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