Higgs production in bottom-quark fusion to third order in the strong coupling

Understand

We present the inclusive cross section at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD for the production of a Higgs boson via bottom-quark fusion.

• We employ the five-flavour scheme, treating the bottom quark as a massless parton while retaining a non-vanishing Yukawa coupling to the Higgs boson.
• We find that the dependence of the hadronic cross section on the renormalisation and factorisation scales is substantially reduced.
• For judicious choices of the scales the perturbative expansion of the cross section shows a convergent behaviour.