  In the framework of the littlest Higgs model with T parity, we study the
$W_H/Z_H$ production in association with a T-odd (anti)quark of the first two
generations at the CERN Large Hadron Collider up to the QCD next-to-leading
order. The kinematic distributions of final decay products and the theoretical
dependence of the cross section on the factorization/renormalization scale are
discussed. We apply three schemes in considering the QCD NLO contributions and
find that the QCD NLO corrections by adopting the (II) and (III) subtraction
schemes can keep the convergence of the perturbative QCD description and reduce
the scale uncertainty of the leading order cross section. By using these two
subtraction schemes, the QCD NLO corrections to the $W_H(Z_H) q_-$ production
process enhance the leading order cross section with a K-factor in the range of
$1.00 \sim 1.43$.
