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In the framework of the littlest Higgs model with $T$ parity, we study the$W_H$-pair production at the CERN Large Hadron Collider up to the QCDnext-to-leading order (NLO). The kinematic distributions of final decayproducts and the theoretical dependence of the cross section on thefactorization/renormalization scale are analyzed. We adopt the PROSPINO schemein the QCD NLO calculations to avoid double counting and keep the convergenceof the perturbative QCD description. Our numerical results show that the QCDNLO corrections significantly reduce the scale uncertainty, and enhance theleading order integrated cross section with a $K$-factor in the range of$1.10-1.22$ ($1.09-1.17$) with the symmetry breaking scale $f$ varying from$400 GeV$ ($400 GeV$) to $1.5 TeV$ ($1.0 TeV$) at the $14 TeV$ $(8 TeV)$ LHC.We find that it is possible to select the signal events of the $W_H$-pairproduction from the $pp\to W^+ W^- \to e^+ \mu^-\nu_{e}\bar{\nu}_{\mu}+X$background with high ratio of signature over background by taking proper lowerlimits on transverse momenta, invariant mass of the final charged leptons andthe missing transverse momentum.

$W_H$-pair Production in the Littlest Higgs Model with T parity in next-to-leading order QCD at LHC