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In this paper, we systematically study the contribution of the TC2 model tothe single t-quark production at the Hadron colliders, specially at the LHC.The TC2 model can contribute to the cross section of the single t-quarkproduction in two different ways. First, the existence of the top-pions andtop-higgs can modify the $Wtb$ coupling via their loop contributions, and suchmodification can cause the correction to the cross sections of all threeproduction modes. Our study shows that this kind of correction is negative andvery small in all cases. Thus it is difficult to observe such correction evenat the LHC. On the other hand, there exist the tree-level FC couplings in theTC2 model which can also contribute to the cross sections of the $tq$ and$t\bar{b}$ production processes. The resonant effect can greatly enhance thecross sections of the $tq$ and $t\bar{b}$ productions. The first evidence ofthe single t-quark production has been reported by the $D0$ collaboration andthe measured cross section for the single t-quark production of$\sigma(p\bar{p}\to tb+X,tqb+X)$ is compatible at the 10% level with thestandard model prediction. Because the light top-pion can make greatcontribution to the $t\bar{b}$ production, the top-pion mass should be verylarge in order to make the predicted cross section in the TC2 model beconsistent with the Tevatron experiments. More detailed information about thetop-pion mass and the FC couplings in the TC2 model should be obtained with therunning of the LHC.

Probing the topcolor-assisted technicolor model via the single t-quark production at Hadron colliders