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The high energy limit of QCD at two loops

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arxiv hep-ph/0109028 v2 pith:UFHNSE4E submitted 2001-09-04 hep-ph

classification hep-ph
keywords limitansatzfoundhigh-energyparton-partonscatteringtwo-loopaccuracy
verification ladder T0 review T1 audit T2 compute T3 formal

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By taking the high-energy limit of the two-loop amplitudes for parton-parton scattering, we have tested the validity of Fadin-Lipatov's ansatz for parton-parton scattering in the high-energy limit. As expected, we have found that it holds at LL and NLL accuracy, and hence we have independently re-evaluated the two-loop Regge trajectory, finding full agreement with the previous results by Fadin and collaborators. We have found, though, that the universality implied by the ansatz is violated at the next-to-next-to-leading logarithmic level.

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Cited by 8 Pith papers

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

  1. Investigating the universality of five-point QCD scattering amplitudes at high energy

    hep-ph 2024-11 conditional novelty 8.0 of 10

    First extraction of the two-loop universal central-emission vertex in QCD and in N=4 super Yang-Mills from the multi-Regge limit of five-point amplitudes.

  2. Relating amplitude and PDF factorisation through Wilson-line geometries

    hep-ph 2019-09 conditional novelty 8.0 of 10

    The difference between form-factor and large-x PDF single-pole anomalous dimensions equals one quarter of the lightlike parallelogram Wilson-loop anomalous dimension, verified at two loops.

  3. The Two-Loop Lipatov Vertex in QCD

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The two-loop Reggeon-gluon-Reggeon (Lipatov) vertex in QCD is determined in dimensional regularization through finite terms and expressed in single-valued polylogarithms.

  4. Reggeization in Color

    hep-ph 2024-11 conditional novelty 7.0 of 10

    The authors derive closed rapidity evolution equations for triple-gluon exchange in the odderon, 10⊕10, 35⊕35, and 64 color channels, including new matrix equations that account for color-irrep multiplicity.

  5. Quark Reggeization in QCD from the Wilson line formalism

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    Derives Reggeized quark operator from Wilson lines and its nonlinear rapidity RG evolution in QCD, recovering known Regge trajectories in dilute and large-Nc limits after signature projection.

  6. Regge factorization of tree-level QCD amplitudes using a minimal set of lightcone variables

    hep-ph 2025-06 conditional novelty 6.0 of 10

    All tree-level QCD multi-Regge emission vertices with up to four final-state partons are extracted in a minimal lightcone-variable frame and collected in the MREV Mathematica library.

  7. Regge poles and cuts and the Lipatov vertex

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A two-loop multi-Reggeon exchange contribution to 2->3 amplitudes is computed for the first time, enabling extraction of the two-loop Lipatov vertex.

  8. QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions

    hep-th 2025-07 accept novelty 3.0 of 10

    A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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