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An Eight Loop Amplitude via Antipodal Duality

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arxiv 2308.08199 v1 pith:BMINT3AE submitted 2023-08-16 hep-th hep-ph

Lance J. Dixon , Yu-Ting Liu This is my paper · ORCID
classification hep-thhep-ph
keywords amplitudeantipodaldualityeightsymbolfactorformloops
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the six-particle maximally-helicity-violating (MHV) amplitude in planar ${\cal N}=4$ super-Yang-Mills theory at eight loops, using antipodal duality and the recently computed eight-loop three-point form factor for the chiral stress energy tensor multiplet. Antipodal duality maps the form factor symbol to the amplitude symbol on a two-dimensional parity-preserving surface in the three-dimensional amplitude kinematics. There are remarkably few ambiguities in lifting from two to three dimensions, nor in promoting the symbol to a function. The amplitude passes many tests, including near-collinear, multi-Regge, factorization, self-crossing and origin limits. These checks also constitute a validation of antipodal duality at eight loops.

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Cited by 4 Pith papers

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

  1. Antipodal self-duality of square fishnet graphs

    hep-th 2025-02 accept novelty 8.0 of 10

    Square fishnet integrals are invariant under the twisted antipode map for every grid size m, proven at function level.

  2. QCD Scattering Amplitudes and Prescriptive Unitarity

    hep-th 2026-02 conditional novelty 7.0 of 10

    The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.

  3. Geometric Landau Analysis and Symbol Bootstrap

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    Boundary structure of negative geometries, combined with Landau analysis, determines physical singularities and yields symbol alphabets for six-point two-loop and five-point three-loop ladder integrals in planar N=4 s...

  4. 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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