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RESEARCH PRODUCT

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

C. StuderusRoberto BoncianiAndrea FerrogliaThomas Gehrmann

subject

QuarkNuclear and High Energy PhysicsParticle physics530 PhysicsHigh Energy Physics::LatticeFOS: Physical sciencesHarmonic (mathematics)10192 Physics Institute01 natural sciencesCross section (physics)High Energy Physics - Phenomenology (hep-ph)NLO Computations0103 physical sciencesHeavy Quark PhysicsLimit (mathematics)3106 Nuclear and High Energy Physics010306 general physicsPhysicsQuantum chromodynamicsAnnihilation010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyHigh Energy Physics - PhenomenologyPair productionAmplitude[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]High Energy Physics::Experiment

description

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.

10.1088/1126-6708/2009/08/067http://arxiv.org/abs/0906.3671