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SU(N) group-theory constraints on color-ordered five-point amplitudes at all loop orders

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arxiv 1111.3821 v2 pith:LIBLG6MO submitted 2011-11-16 hep-th hep-ph

classification hep-thhep-ph
keywords constraintstheoryamplitudescolor-orderedgrouploopordersadjoint
verification ladder T0 review T1 audit T2 compute T3 formal

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Color-ordered amplitudes for the scattering of n particles in the adjoint representation of SU(N) gauge theory satisfy constraints arising solely from group theory. We derive these constraints for n=5 at all loop orders using an iterative approach. These constraints generalize well-known tree-level and one-loop group theory relations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spacelike-Collinear Scattering by the Method of Regions

    hep-ph 2026-07 conditional novelty 8.0 of 10

    The kinematic factorisation-violating part of the two-loop spacelike-collinear splitting amplitude comes entirely from a single hidden region with soft and Glauber loop momenta.

  2. Multi-Quark Colour Decompositions from Unitarity

    hep-ph 2019-08 accept novelty 8.0 of 10

    New tree-level colour decompositions for multi-quark QCD amplitudes with arbitrary fixed pair of partons, derived from unitarity factorisation, with explicit closed-form colour factors.

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