Next-to-leading order QCD corrections to $HW^{\pm}\gamma$ production at the LHC

The Higgs boson production associated with a $W$-boson and a photon at the Large Hadron Collider (LHC) can be used to probe the coupling between Higgs boson and vector gauge bosons and discover a signature of new physics. We present the precision predictions up to the QCD next-to-leading-order (NLO) in the standard model for this process involving the subsequential weak decays of the final Higgs and $W$-boson. The dependence of the leading order (LO) and the QCD NLO corrected integrated cross sections on the factorization/renormalization energy scale is studied. We provide the LO and QCD NLO corrected distributions of the transverse momenta and rapidities of final products. We find that the LO cross section is significantly enhanced by the QCD NLO correction, and the $K$-factor value is obviously related to the physical observables and the phase space regions.