One-loop amplitudes for four-point functions with two external massive quarks and two external massless partons up to O(epsilon^2)

Abstract

We present complete analytical $\mathcal{O}({\epsilon }^2)$ results on the one-loop amplitudes relevant for the NNLO quark-parton model description of the hadroproduction of heavy quarks as given by the so-called loop-by-loop contributions. All results of the perturbative calculation are given in the dimensional regularization scheme. These one-loop amplitudes can also be used as input in the determination of the corresponding NNLO cross sections for heavy flavor photoproduction, and in photon-photon reactions.

25 pages, 6 figures in the text, Revtex, one reference added, minor improvements in the text, to appear in Phys.Rev.D

References in corpus (7)

• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Inclusive D^{*+-} Production in p p-bar Collisions with Massive Charm Quarks
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Anomaly Contributions
• Reconciling open charm production at the Fermilab Tevatron with QCD
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions
• Joint resummation for heavy quark production
• Laurent series expansion of a class of massive scalar one-loop integrals to ${\cal O}(\ep^2)

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