The complete set of two-loop master integrals for Higgs + jet production in QCD
Hjalte Frellesvig, Martijn Hidding, Leila Maestri, Francesco Moriello,, Giulio Salvatori
TL;DR
This paper completes the calculation of two-loop master integrals for Higgs plus jet production in QCD, enabling precise NLO and NNLO theoretical predictions across all kinematic regions.
Contribution
It introduces a differential equations approach with generalized power series solutions to evaluate integrals efficiently in all kinematic regions, including top and bottom quark effects.
Findings
Provides the full set of master integrals for NLO Higgs+jet corrections.
Enables high-precision numerical evaluation across all kinematic regions.
Supports full-theory NNLO corrections for inclusive Higgs production.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.