Littlest Higgs Model and Higgs Boson Associated Production with Top Quark Pair at High Energy Linear e+e- Collider

In the parameter space allowed by the electroweak precision measurement data, we consider the contributions of the newparticles predicted by the littlest Higgs 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 andB_H. For reasonable values of the free parameters, theabsolute value of the relative correction parameterδσ/σ^SM can be significanly large, which mightbe observed in the future ILC experiment with √{S}=800 GeV.