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In the framework of the Littlest Higgs Model with T-parity (LHT), we studythe contributions of the new particles to $Zb\bar{b}$ couplings at one-looplevel. Based on these results, we further study the branching ratio $R_{b}$ andthe unpolarized forward-backward asymmetry ${A_{FB}^{b}}$. We find that thecorrection of the new particles to $Zb\bar{b}$ couplings is mainly on theleft-handed coupling and has small part of the parameter space to alleviate thedeviation between theoretical predictions and experimental values. Theprecision measurement value of $R_{b}$ can give severe constraints on therelevant parameters. The constraints from the precision measurement value of${A_{FB}^{b}}$ are very weak.

The Study of the contribution of the LHT model to $Zb\bar{b}$ coupling