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All-order amplitudes at any multiplicity in the multi-Regge limit

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arxiv 1912.00188 v2 pith:QA5TEPW5 submitted 2019-11-30 hep-th

V. Del Duca , S. Druc , J. M. Drummond , C. Duhr , F. Dulat , R. Marzucca , G. Papathanasiou , B. Verbeek This is my paper
classification hep-th
keywords all-orderamplitudesmulti-reggeaccuracyexpressionkinematicslimitlogarithmic
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configurations and arbitrary logarithmic accuracy. Our expression is arrived at from comparing explicit perturbative results with general expectations from the integrable structure of a closely related collinear limit. A crucial ingredient of the analysis is an all-order extension for the central emission vertex that we recently computed at next-to-leading logarithmic accuracy. As an application, we use our all-order formula to prove that all amplitudes in this theory in multi-Regge kinematics are single-valued multiple polylogarithms of uniform transcendental weight.

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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. 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. Double spacelike collinear limits from multi-Regge kinematics

    hep-th 2025-07 conditional novelty 7.0 of 10

    The double spacelike collinear limit of planar N=4 SYM is governed by a generalized splitting amplitude that equals the six-point BDS-subtracted amplitude in multi-Regge kinematics.

  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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