Constraining parameter space of the little Higgs model using data from tera-Z factory and ILC

The Standard Model(SM) prediction on the forward-backward asymmetry for bˉb production(A b FB) is well consistent with the data of LEP at the Z-pole, but deviates from the data at√s =89.55 and 92.95 Ge V which are slightly away from the pole. This deviation implies that there is still room for new physics. We calculate the A b FB at the vicinity of the Z-pole in the little Higgs model as well as other measurable parameters such as R b and R c,by which we may constrain the parameter space of the little Higgs model. This can be further tested in the newly proposed tera-Z factory. With the fitted parameters we further make predictions on A b FB and A t FB for tˉt production at the International Linear Collider(ILC).