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Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel

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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http://hal.in2p3.fr/in2p3-00410311
Contributor : Emmanuelle Vernay <>
Submitted on : Wednesday, August 19, 2009 - 4:47:37 PM
Last modification on : Monday, July 20, 2020 - 9:18:18 AM

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R. Bonciani, A. Ferroglia, T. Gehrmann, C. Studerus. Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel. Journal of High Energy Physics, Springer, 2009, 08, pp.067. ⟨10.1088/1126-6708/2009/08/067⟩. ⟨in2p3-00410311⟩

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