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

Abstract

We compute the one-loop QCD amplitude for the process gg-->Q\bar{Q} in dimensional regularization through order ε^2 in the dimensional regulator and for arbitrary quark mass values. This result is an ingredient of the NNLO cross-section for heavy quark production at hadron colliders. The calculation is performed in conventional dimensional regularization, using well known reduction techniques as well as a method based on recent ideas for the functional form of one-loop integrands in four dimensions.