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

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

2009-06-19

arxiv.org/abs/0906.3671v2

JHEP 0908:067,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 5 figures. Version accepted by JHEP

Scientific paper

10.1088/1126-6708/2009/08/067

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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