2019/11/30 by Hjalte Frellesvig, Martijn Hidding, Leila Maestri +2
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep06(2020)093
32 pages, references added, minor revision
arxiv created 2020/06/26 · arxiv updated 2020/07/15
In this paper we complete the computation of the two-loop master integrals relevant for Higgs plus one jet production initiated in arXiv:1609.06685, arXiv:1907.13156, arXiv:1907.13234. We compute the integrals by defining differential equations along contours in the kinematic space, and by solving them in terms of one-dimensional generalized power series. This method allows for the efficient evaluation of the integrals in all kinematic regions, with high numerical precision. We show the generality of our approach by considering both the top- and the bottom-quark contributions. This work along with arXiv:1609.06685, arXiv:1907.13156, arXiv:1907.13234 provides the full set of master integrals relevant for the NLO corrections to Higgs plus one jet production, and for the real-virtual contributions to the NNLO corrections to inclusive Higgs production in QCD in the full theory.