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Two-loop planar corrections to heavy-quark pair production in the quark-antiquark channel


Bonciani, R; Ferroglia, A; Gehrmann, T; Studerus, C (2009). Two-loop planar corrections to heavy-quark pair production in the quark-antiquark channel. Journal of High Energy Physics, (8):067.

Abstract

We evaluate the planar two-loop QCD diagrams contributing to the leading color coefficient of the heavy-quark pair production cross section, in the quark-antiquark annihilation channel. We obtain the leading color coefficient in an analytic form, in terms of one- and two-dimensional harmonic polylogarithms of maximal weight 4. The result is valid for arbitrary values 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 numerical results for the exact amplitude.

Abstract

We evaluate the planar two-loop QCD diagrams contributing to the leading color coefficient of the heavy-quark pair production cross section, in the quark-antiquark annihilation channel. We obtain the leading color coefficient in an analytic form, in terms of one- and two-dimensional harmonic polylogarithms of maximal weight 4. The result is valid for arbitrary values 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 numerical results for the exact amplitude.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Uncontrolled Keywords:NLO Computations; Heavy Quark Physics
Language:English
Date:2009
Deposited On:22 Feb 2010 11:37
Last Modified:07 Mar 2017 08:21
Publisher:Institute of Physics Publishing
ISSN:1029-8479
Publisher DOI:https://doi.org/10.1088/1126-6708/2009/08/067
Related URLs:http://arxiv.org/abs/0906.3671

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