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On the ABJM four-point amplitude at three loops and BDS exponentiation

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arxiv 1403.3398 v1 pith:YXQPL5KQ submitted 2014-03-13 hep-th

Marco S. Bianchi , Matias Leoni This is my paper
classification hep-th
keywords amplitudeabjmexponentiationfour-pointintegralstermsthree-loopaddition
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence for exponentiation of the amplitude, including the finite terms. In addition we show that the three-loop amplitude can be expressed in terms of classical polylogarithms of uniform degree of transcendentality.

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Cited by 2 Pith papers

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

  1. Loops and legs: ABJM amplitudes from $f$-graphs

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    ABJM amplitudes of arbitrary multiplicity and loop order can be reconstructed from squared amplitudes encoded in a permutation-symmetric generating function of planar f-graphs.

  2. A Hidden Permutation Symmetry of Squared Amplitudes in ABJM Theory

    hep-th 2025-08 conditional novelty 7.0 of 10

    Squared ABJM amplitude integrands with fixed n+L are unified in a permutation-symmetric generating function, and a bipartite f-graph bootstrap yields new N=10 tree and loop results.

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