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We present a computation of NNLO QCD corrections to the production of a Higgsboson in association with a $W$ boson at the LHC followed by the decay of theHiggs boson to a $b\bar{b}$ pair. At variance with previous NNLO QCD studies ofthe same process, we treat $b$ quarks as massive. An important advantage ofworking with massive $b$ quarks is that it makes the use of flavor jetalgorithms unnecessary and allows us to employ conventional jet algorithms todefine $b$ jets. We compare NNLO QCD descriptions of the associated$WH(b\bar{b})$ production with massive and massless $b$ quarks and alsocontrast them with the results provided by parton showers. We find ${\calO}(5\%)$ differences in fiducial cross sections computed with massless andmassive $b$ quarks. We also observe that much larger differences betweenmassless and massive results, as well as between fixed-order and parton-showerresults, can arise in selected kinematic distributions.

Bottom quark mass effects in associated $WH$ production with $H \to b\bar{b}$ decay through NNLO QCD