2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/206270In the parameter space allowed by the electroweak precision measurement data, we consider the contributions of the new particles predicted by the littlest Higgs($LH$) model to the Higgs boson associated production with top quark pair in the future high energy linear $e^{+}e^{-}$ collider($ILC$). We find that the contributions mainly come from the new gauge bosons $Z_{H}$ and $B_{H}$. For reasonable values of the free parameters, the absolute value of the relative correction parameter $δσ/σ^{SM}$ can be significanly large, which might be observed in the future $ILC$ experiment with $\sqrt{S}=800GeV$.latex files, 13 pages, 3 figuresHigh Energy Physics - PhenomenologyThe littlest Higgs model and Higgs boson associated production with top quark pair at high energy linear $e^{+}e^{-}$ collidertext