Two-Loop Leading Color Corrections to Heavy-Quark Pair Production in the Gluon Fusion Channel

Abstract

We evaluate the two-loop QCD diagrams contributing to the leading color coefficient of the heavy-quark pair production cross section in the gluon fusion channel. We obtain an analytic expression, which is valid for any value of the Mandelstam invariants s and t and of the heavy-quark mass m. Our findings agree with previous analytic results in the small-mass limit and with recent results for the coefficients of the IR poles.

15 pages, 3 figures, additional files with results and numerical program

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• Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel
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• One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}({\epsilon }^2)$