Precise calculation for heavy gauge boson production in the LHT model

In the framework of the littlest Higgs model with $T$ parity, we study the $W_H\mathrm{/}{Z}_H+q_{-}$ and $W_H$-pair productions at the CERN Large Hadron Collider up to the QCD next-to-leading order (NLO). The kinematic distributions of final decay products and the theoretical dependence of the cross section on the factorization/renormalization scale are analyzed. We adopt the PROSPINO scheme in the QCD NLO calculations to avoid double counting and keep the convergence of the perturbative QCD description. By using the subtraction scheme, the QCD NLO corrections enhance the leading order cross section with a K-factor in the range of $1.00\sim 1.43$ for $W_H(Z_H)q_{-}$ production process, and in the range of $1.09\sim 1.22$ for the $W_H$ pair production process.