Updated Higgs cross section at approximate N3LO

Abstract

We update our estimate of the cross section for Higgs production in gluon fusion at next-to-next-to-next-to-leading order in ás in view of the recent full computation of the result in the soft limit for infinite top mass, which determines a previously unknown constant. We briefly discuss the phenomenological implications. Results are available through the updated version of the ggHiggs code.