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We compute the two-loop QCD helicity amplitudes for the production of a Higgsboson in association with a bottom-quark pair at a hadron collider. We take theapproximations of leading colour and work in the five flavour scheme, where thebottom quarks are massless while the Yukawa coupling is non-zero. We extractanalytic expressions from multiple numerical evaluations over finite fields andpresent the results in terms of an independent set of special functions thatcan be reliably evaluated over the full phase space.

Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC