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Three-Loop Four-Point Correlator in N=4 SYM

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arxiv hep-th/0003096 v1 pith:T7S5VZBM submitted 2000-03-13 hep-th

classification hep-th
keywords four-pointthree-loopachievedactionamplitudeapplicationargumentsbecomes
verification ladder T0 review T1 audit T2 compute T3 formal
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We explicitly compute the complete three-loop (O(g^4)) contribution to the four-point function of chiral primary current-like operators <(q)^2 q^2 (q)^2 q^2> in any finite N=2 SYM theory. The computation uses N=2 harmonic supergraphs in coordinate space. Dramatic simplifications are achieved by a double insertion of the N=2 SYM linearized action, and application of superconformal covariance arguments to the resulting nilpotent six-point amplitude. The result involves polylogarithms up to fourth order of the conformal cross ratios. It becomes particularly simple in the N=4 special case.

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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. Graph Neural Networks for the Graphical Bootstrap

    hep-th 2026-07 conditional novelty 6.0 of 10

    GNNs and graph transformers classify vanishing coefficients on millions of N=4 SYM f-graphs, generalizing to larger n with 99.996% ROC AUC and pruning up to 85.5% of redundant d-graphs.

  2. Tracing Transcendentality in Protected Correlators of N=4 SYM

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Explicit two-loop computations of protected correlators in N=4 SYM yield a universal one-loop term and a planar extrapolation at arbitrary dimension controlled by stress-tensor multiplet count.

  3. Energy Correlators: A Journey From Theory to Experiment

    hep-ph 2025-06 unverdicted novelty 1.0 of 10

    A review of energy correlators and their role in QCD, collider experiments, and formal quantum field theory.

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