Towards Higgs production at N3LO

Abstract

We report on the recent computation of the inclusive Higgs boson production cross section in gluon fusion to next-to-next-to-next-to-leading order in perturbative QCD in the soft-virtual approximation. We discuss the validity of the soft-virtual approximation at that order, and we give some outlook on the computation of the subleading terms in the threshold expansion.