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A Two-Loop Four-Gluon Helicity Amplitude in QCD

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arxiv hep-ph/0001001 v2 pith:FG4PR3MK submitted 2000-01-01 hep-ph hep-th

classification hep-phhep-th
keywords amplitudeepsilonhelicitytwo-loopanalyticappearingconstructioncontribution
verification ladder T0 review T1 audit T2 compute T3 formal

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We present the two-loop pure gauge contribution to the gluon-gluon scattering amplitude with maximal helicity violation. Our construction of the amplitude does not rely directly on Feynman diagrams, but instead uses its analytic properties in 4 - 2 epsilon dimensions. We evaluate the loop integrals appearing in the amplitude through O(epsilon^0) in terms of polylogarithms.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 158 citations worldwide. Full citation record

  1. Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality

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    Two-loop Yang-Mills and gravity integrands are constructed from tree-level trivalent diagrams via a double-forward limit, with multiplicity factors that make the loop-level colour-kinematics duality manifest.

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    Associativity and symmetry determine the all-loop 2d chiral algebra OPEs for twistorial self-dual Yang-Mills, with one coefficient, c, left only as an order-by-order solution.

  3. On the spanning cuts consistency problem in the IBP reductions of Feynman integrals

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    Inconsistency in spanning cuts for IBP reductions arises because cuts can make hidden terms in IBP relations finite via pinch singularities that cancel vanishing parameters, linked to hidden linear relations between p...

  4. Perturbative QCD as a quantitative tool in the years 1976-2000

    physics.hist-ph 2026-06 unverdicted novelty 3.0 of 10

    Historical review tracing the evolution of precision perturbative QCD calculations and tools between 1976 and 2000.

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