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In this work we calculate the leading electroweak (EW) corrections to theanomalous $gt\bar{t}$ coupling in the Littlest Higgs model with T-parity (LHT),by applying the Goldstone boson equivalence theorem. In the LHT model, suchelectroweak corrections arise from the loop diagrams of heavy fermions and the``would-be'' Goldstone bosons. We further examine the EW corrections in the topquark pair production via the quark annihilation process at the LHC. Thenegative EW corrections in the Standard Model are partially canceled by thepositive EW corrections from the loops of the new heavy particles, and thelatter dominates in the large invariant mass of the top quark pair.

Anomalous gtt couplings in the Littlest Higgs Model with T-parity