Pith. sign in

REVIEW 5 cited by

Six-Gluon Amplitudes in Planar {cal N}=4 Super-Yang-Mills Theory at Six and Seven Loops

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1903.10890 v2 pith:3H3ZPRGU submitted 2019-03-26 hep-th hep-ph

Six-Gluon Amplitudes in Planar {cal N}=4 Super-Yang-Mills Theory at Six and Seven Loops

Simon Caron-Huot , Lance J. Dixon , Falko Dulat , Matt von Hippel , Andrew J. McLeod , Georgios Papathanasiou This is my paper
classification hep-th hep-ph
keywords loopsamplitudesamplitudecollinearexpansionfivekinematiclimit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended Steinmann relations and using the cosmic Galois coaction principle. Starting from a minimal space of functions constructed using these principles, we identify the amplitude by matching its symmetries and predicted behavior in various kinematic limits. Through five loops, the MHV and NMHV amplitudes are uniquely determined using only the multi-Regge and leading collinear limits. Beyond five loops, the MHV amplitude requires additional data from the kinematic expansion around the collinear limit, which we obtain from the Pentagon Operator Product Expansion, and in particular from its single-gluon bound state contribution. We study the MHV amplitude in the self-crossing limit, where its singular terms agree with previous predictions. Analyzing and plotting the amplitudes along various kinematical lines, we continue to find remarkable stability between loop orders.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 5 Pith papers

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

  1. Landau Analysis of One-Cycle Negative Geometries

    hep-th 2026-04 unverdicted novelty 7.0

    One-cycle negative geometries in N=4 SYM have singularities only at z=-1, 0, and infinity to all loop orders.

  2. Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap

    hep-th 2026-04 conditional novelty 7.0

    The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.

  3. Kinematics, cluster algebras and Feynman integrals

    hep-th 2021-12 unverdicted novelty 7.0

    Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.

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

    hep-th 2026-06 unverdicted novelty 5.0

    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.

  5. Multi-Loop Negative Geometries

    hep-th 2026-05 unverdicted novelty 5.0

    Explicit three-loop computation of negative geometries for F(g,z) with all-loop resummation of one-cycle diagrams and extraction of the cusp anomalous dimension via z-integration.