Higgs boson production at the LHC: NNLO partonic cross sections through order $ε$ and convolutions with splitting functions to N$^3$LO

Maik Höschele; Jens Hoff; Alexey Pak; Matthias Steinhauser; Takahiro Ueda

Paper

Higgs boson production at the LHC: NNLO partonic cross sections through order $ε$ and convolutions with splitting functions to N$^3$LO

Abstract

We consider Higgs boson production at hadron colliders in the gluon fusion channel and compute higher order terms in the regularization parameter

. In particular, the next-to-next-to-leading order cross section is evaluated including order

terms. These results are used to compute all convolutions with the splitting functions entering the next-to-next-to-next-to-leading order cross section.