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

摘要

We consider Higgs boson production at hadron colliders in the gluon fusionchannel and compute higher order terms in the regularization parameter$\epsilon$. In particular, the next-to-next-to-leading order cross section isevaluated including order $\epsilon$ terms. These results are used to computeall convolutions with the splitting functions entering thenext-to-next-to-next-to-leading order cross section.