NNLO QCD corrections for Higgs boson production in association with a W boson at the LHC

We consider QCD corrections to Standard Model Higgs boson production in association with a iv boson in hadron collisions. We present a fully exclusive perturbative computation at next-to-next-to-leading order (NNLO) including the decay of the Higgs boson into a bb pair at next-to-leading order (NLO). We consider the selection cuts that are typically applied in the LHC experimental analysis, and we compare perturbative fixed-order results with NLO parton shower predictions. Vile comment on such a comparison and we show some illm;trative numerical results