Next-to-next-to-leading order $\mathcal{O}({\alpha }_s^4)$ results for heavy quark pair production in quark--antiquark collisions: The 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 quark-antiquark annihilations. These are part of the next-to-next-to-leading order $\mathcal{O}({\alpha }_s^4)$ radiative QCD corrections to this process. Our results, with the full mass dependence retained, are presented in a closed and very compact form, in the dimensional regularization scheme. We have found very intriguing factorization properties for the finite part of the amplitudes.

12 pages, 2 figures, electronic results file, abbreviation NNLO in Title and Abstract expanded, Summary expanded, reference updated, version to appear in Phys.Rev.D

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• NLO QCD corrections to t tbar + jet production at hadron colliders
• Finite-Mass Effects on Inclusive B-Meson Hadroproduction
• Heavy-quark production in massless quark scattering at two loops in QCD
• Next-to-next-to-leading order $\mathcal{O}({\alpha }^2{\alpha }_s^2)$ results for top quark pair production in photon--photon collisions: The one-loop squared contributions

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• The one-loop gluon amplitude for heavy-quark production at NNLO
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