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The complete set of two-loop master integrals for Higgs + jet production in QCD

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arxiv 1911.06308 v2 pith:LZ26SWLN submitted 2019-11-14 hep-ph hep-th

Hjalte Frellesvig , Martijn Hidding , Leila Maestri , Francesco Moriello , Giulio Salvatori This is my paper · ORCID
classification hep-phhep-th
keywords arxivintegralshiggsproductionmasteralongcompletecontributions
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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