Inclusive production cross sections at N3LO

We present for the first time the inclusive cross section for associated Higgs boson production with a massive gauge boson at next-to-next-to-next-to-leading order in QCD. Furthermore, we introduce n3loxs, a public, numerical program for the evaluation of inclusive cross sections at the third order in the strong coupling constant. Our tool allows to derive predictions for charged- and neutral-current Drell-Yan production, gluon- and bottom-quark-fusion Higgs boson production and Higgs boson associated production with a heavy gauge boson. We discuss perturbative and parton distribution function (PDF) uncertainties of the aforementioned processes. We perform a comparison of global PDF sets for a variety of process including associated Higgs boson production and observe 1 sigma deviations among predictions for several processes.

Automated summary

In this paper, we present the inclusive cross section for the production of the Higgs boson associated with a massive gauge boson at the next-to-next-to-next-to-leading order in QCD for the first time. We also introduce n3loxs, a numerical program for calculating inclusive cross sections at the third order in the strong coupling constant. Our study discusses the perturbative and parton distribution function (PDF) uncertainties in the processes mentioned above.