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Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour

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arxiv 2012.00613 v1 pith:UY6EN2TG submitted 2020-12-01 hep-ph hep-th

Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza This is my paper · ORCID
classification hep-phhep-th
keywords colourfullamplitudesanomalousdeterminedimensionfourfour-loop
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Using an iterative solution of rapidity evolution equations, we compute partonic $2\to 2$ gauge theory amplitudes at four loops in full colour up to the Next-to-Next-to-Leading Logarithms (NNLL) in the Regge limit. By contrasting the resulting amplitude with the exponentiation properties of soft singularities we determine the four-loop correction to the soft anomalous dimension at this logarithmic accuracy, which universally holds in any gauge theory. We find that the latter features quartic Casimir contributions beyond those appearing in the cusp anomalous dimension. Finally, in the case of ${\cal N}=4$ super Yang-Mills, we also determine the finite hard function at four loops through NNLL in full colour.

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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. 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. 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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