Top Quark Polarization and Spin Correlation in the Littlest Higgs Model with T-Parity at the ILC

In the framework of the littlest Higgs model with T-parity (LHT), we study the top quark spin correlation and polarization at the International Linear Collider (ILC). We find that the top quark polarization asymmetry δ P_t and the left-right asymmetry δ A_LR can respectively reach -35% and -37.5% for √s=500 GeV and √s=1000 GeV via e⁺e^- collision, which can reach the observable level at the ILC. By contrast, the spin correlation δC is smaller. The correlation behaviors of these observables at the e⁺e^- collision and the γγ collision will be helpful to distinguish different models and test the LHT model at the ILC.