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Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders

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arxiv 1711.04850 v1 pith:BSVLQ4ZO submitted 2017-11-13 hep-ph hep-th

Simon Caron-Huot , Einan Gardi , Joscha Reichel , Leonardo Vernazza This is my paper · ORCID
classification hep-phhep-th
keywords limitamplitudesordersscatteringanomalousdimensionhigh-energyinfrared
verification ladder T0 review T1 audit T2 compute T3 formal

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Scattering amplitudes of partons in QCD contain infrared divergences which can be resummed to all orders in terms of an anomalous dimension. Independently, in the limit of high-energy forward scattering, large logarithms of the energy can be resummed using Balitsky-Fadin-Kuraev-Lipatov theory. We use the latter to analyze the infrared-singular part of amplitudes to all orders in perturbation theory and to next-to-leading-logarithm accuracy in the high-energy limit, resumming the two-Reggeon contribution. Remarkably, we find a closed form for the infrared-singular part, predicting the Regge limit of the soft anomalous dimension to any loop order.

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Cited by 6 Pith papers

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

  1. Collinear Factorization Violation and Reggeization

    hep-ph 2026-07 conditional novelty 7.0 of 10

    Collinear-factorization-violating contributions from a single Glauber gluon factor into collinear and soft subgraphs, and their leading rapidity logarithms exponentiate via the gluon Regge trajectory.

  2. 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.

  3. 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.

  4. Factorization of elastic, single, and double diffractive $pp$ scattering

    hep-ph 2026-07 conditional novelty 6.0 of 10

    SCET with Glauber operators factorizes elastic/single/double diffractive pp scattering, proving non-universality of hadronic functions versus ep while rapidity anomalous dimensions remain universal.

  5. 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.

  6. 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.

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