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Cluster adjacency and the four-loop NMHV heptagon

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arxiv 1812.04640 v2 pith:WSUTCOBB submitted 2018-12-11 hep-th

James Drummond , Jack Foster , Ömer Gürdoğan , Georgios Papathanasiou This is my paper · ORCID
classification hep-th
keywords clusteradjacencyamplitudeansatzfour-loopheptagonnmhvaccuracy
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We exploit the recently described property of cluster adjacency for scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory to construct the symbol of the four-loop NMHV heptagon amplitude. We use a manifestly cluster adjacent ansatz and describe how the parameters of this ansatz are determined using simple physical consistency requirements. We then specialise our answer for the amplitude to the multi-Regge limit, finding agreement with previously available results up to the next-to-leading logarithm, and obtaining new predictions up to (next-to)$^3$-leading-logarithmic accuracy.

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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. 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.

  2. 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...

  3. 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.

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