Heavy quark pair production in gluon fusion at next-to-next-to-leading $\mathcal{O}({\alpha }_s^4)$ order: One-loop squared contributions

Abstract

We calculate the next-to-next-to-leading order $\mathcal{O}({\alpha }_s^4)$ one-loop squared corrections to the production of heavy-quark pairs in the gluon-gluon fusion process. Together with the previously derived results on the $q\bar{q}$ production channel the results of this paper complete the calculation of the one-loop squared contributions of the next-to-next-to-leading order $\mathcal{O}({\alpha }_s^4)$ radiative QCD corrections to the hadroproduction of heavy flavors. Our results, with the full mass dependence retained, are presented in a closed and very compact form, in dimensional regularization.

16 pages, 4 figures, 4 electronic files, one reference added, matches published version

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• Inclusive Heavy Flavor Hadroproduction in NLO QCD: the Exact Analytic Result
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• On the Soft-Gluon Resummation in Top Quark Pair Production at Hadron Colliders
• Renormalization-group improved fully differential cross sections for top pair production
• Top quark theory review for the Tevatron, LHC, and ILC
• Recent theoretical progress in perturbative QCD
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• Perturbative QCD for the LHC