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Physical Sciences › Mathematics › Geometry and Topology
A three-point form factor through five loops
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Conflicts of Interest
Identified Weaknesses
Rating Explanation
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Paper Summary
Paperzilla title
Five-Loop Symphony: New Math for Stressful Form Factors!
This paper bootstraps the three-point form factor of the chiral part of the stress-tensor supermultiplet in planar N=4 SYM theory to five loops. The authors utilize the recently developed form factor operator product expansion (FFOPE) for boundary data and discover new mathematical structures, including extended-Steinmann-like conditions and multiple-final-entry conditions, simplifying the form factor's structure.
Possible Conflicts of Interest
None identified
Identified Weaknesses
Reliance on conjectures and bootstrapping
The reliance on bootstrapping methods and extensive use of conjectures, while leading to interesting results, makes the work somewhat less robust than a derivation based on first principles.
Limited QCD connection
While connections to QCD are mentioned, the paper does not provide explicit calculations or comparisons within QCD.
Scalability of function space
The rapid growth of the function space M with transcendental weight poses a challenge for extending the bootstrap to even higher loop orders.
Rating Explanation
This paper presents a significant advance in the computation of a specific form factor in N=4 SYM theory, extending previous results by three loop orders. The use of novel mathematical structures and the connection to integrability are particularly noteworthy, making this a valuable contribution to the field. The limitations regarding conjectures and the computational challenges with higher weights prevent a rating of 5.
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File Information
Original Title:
A three-point form factor through five loops
File Name:
JHEP04(2021)147.pdf
[download]
File Size:
1.10 MB
Uploaded:
July 14, 2025 at 10:52 AM
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