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 m bb-bar production (A_FB^b) is well consistent with the data of LEP Ⅰ at the Z-pole, but deviates from the data at √s = 89.55 and 92.95 GeV which are slightly away from the pole. This deviation implies that there is still room for new physics. We calculate the A_FB^b 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_FB^b and A_FB^t for tt-bar production at the International Linear Collider (ILC). (authors)