Pith. sign in

REVIEW 3 cited by

Analytic evaluation of the three-loop three-point form factor of operatorname{tr}φ³ in mathcal{N}=4 sYM

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 2410.22465 v1 pith:3VIRUZXI submitted 2024-10-29 hep-th hep-ph

Analytic evaluation of the three-loop three-point form factor of operatorname{tr}φ³ in mathcal{N}=4 sYM

Johannes M. Henn , Jungwon Lim , William J. Torres Bobadilla This is my paper
classification hep-th hep-ph
keywords resultintegralstextthree-loopadjacencyagreementanalyticanalytically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We compute analytically the three-loop correlation function of the local operator $\text{tr} \, \phi^3$ inserted into three on-shell states, in maximally supersymmetric Yang-Mills theory. The result is expressed in terms of Chen iterated integrals. We also present our result using generalised polylogarithms, and evaluate them numerically, finding agreement with a previous numerical result in the literature. We observe that the result depends on fewer kinematic singularities compared to individual Feynman integrals. Furthermore, upon choosing a suitable definition of the finite part, we find that the latter satisfies powerful symbol adjacency relations similar to those previously observed for the $\text{tr} \, \phi^2$ case.

discussion (0)

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

Forward citations

Cited by 3 Pith papers

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

  1. Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

    hep-th 2026-05 unverdicted novelty 7.0

    Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.

  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. All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders

    hep-ph 2025-12 accept novelty 6.0

    All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...