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The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order

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arxiv hep-ph/9903516 v2 pith:V6YEWXWW submitted 1999-03-30 hep-ph

classification hep-ph
keywords amplitudesbehaviorinfrarednext-to-next-to-leadingone-looporderassociatedbecome
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present universal factorization formulas describing the behavior of one-loop QCD amplitudes as external momenta become either soft or collinear. Our results are valid to all orders in the dimensional regularization parameter, $\eps$. Terms through $\Ord(\eps^2)$ can contribute in infrared divergent phase space integrals associated with next-to-next-to-leading order jet cross-sections.

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Cited by 3 Pith papers

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

  1. Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints

    hep-ph 2025-11 unverdicted novelty 7.0 of 10

    Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.

  2. Non-abelian soft radiation data for a celestial theory

    hep-th 2025-12 conditional novelty 6.0 of 10

    Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...

  3. Infrared singularities and the collinear limits of multi-leg scattering amplitudes

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...

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