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Antipodal self-duality for a four-particle form factor

Antipodal self-duality for a four-particle form factor
Antipodal self-duality for a four-particle form factor
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar N=4 super-Yang-Mills theory at two loops. When minimally normalized, this symbol involves only 34 letters and obeys the extended Steinmann relations in all partially-overlapping three-particle momentum channels. In addition, the remainder function for this form factor exhibits an antipodal self-duality: it is invariant under the combined operation of the antipodal map defined on multiple polylogarithms -- which reverses the order of the symbol letters -- and a simple kinematic map. This self-duality holds on a four-dimensional parity-preserving kinematic hypersurface. It implies the antipodal duality recently noticed between the three-particle form factor and the six-particle amplitude in this theory.
1079-7114
Dixon, Lance J.
15a864dc-90a4-44fc-894a-0710572f495c
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Liu, Yu-Ting
daa76f68-cee9-4b56-87dc-05f094f06c25
McLeod, Andrew J.
822e2024-9f9a-4c77-a214-845fe6f057c9
Wilhelm, Matthias
9ba2dd4e-9eaa-42ae-a343-9a7501268c94
Dixon, Lance J.
15a864dc-90a4-44fc-894a-0710572f495c
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Liu, Yu-Ting
daa76f68-cee9-4b56-87dc-05f094f06c25
McLeod, Andrew J.
822e2024-9f9a-4c77-a214-845fe6f057c9
Wilhelm, Matthias
9ba2dd4e-9eaa-42ae-a343-9a7501268c94

Dixon, Lance J., Gürdoğan, Ömer, Liu, Yu-Ting, McLeod, Andrew J. and Wilhelm, Matthias (2023) Antipodal self-duality for a four-particle form factor. Physical Review Letters, 130, [111601]. (doi:10.48550/arXiv.2212.02410).

Record type: Article

Abstract

We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar N=4 super-Yang-Mills theory at two loops. When minimally normalized, this symbol involves only 34 letters and obeys the extended Steinmann relations in all partially-overlapping three-particle momentum channels. In addition, the remainder function for this form factor exhibits an antipodal self-duality: it is invariant under the combined operation of the antipodal map defined on multiple polylogarithms -- which reverses the order of the symbol letters -- and a simple kinematic map. This self-duality holds on a four-dimensional parity-preserving kinematic hypersurface. It implies the antipodal duality recently noticed between the three-particle form factor and the six-particle amplitude in this theory.

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Accepted/In Press date: 21 February 2023
Published date: 16 March 2023
Additional Information: This research was supported by the U.S. Department of Energy under Contract No. DE-AC02- 76SF00515, by the National Science Foundation under Grant No. NSF PHY-1748958, and by the Munich Institute for Astro-, Particle and BioPhysics (MIAPbP) which is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2094–390783311. L. J. D. and Y. L. thank the Kavli Institute for Theoretical Physics, and L. J. D., A. J. M., and M. W. thank MIAPbP, for support and hospitality. Y. L. was also supported in part by the Heising-Simons Foundation and the Simons Foundation. M. W. was supported in part by the ERC Starting Grant No. 757978 and Grant No. 00025445 from Villum Fonden. Ö. G. is supported by the UKRI/EPSRC Stephen Hawking Fellowship No. EP/T016396/1.

Identifiers

Local EPrints ID: 474479
URI: http://eprints.soton.ac.uk/id/eprint/474479
ISSN: 1079-7114
PURE UUID: 44ada20f-dab7-4ce9-851c-9c5e9725c0ed

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Date deposited: 22 Feb 2023 21:36
Last modified: 17 Mar 2024 02:40

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Contributors

Author: Lance J. Dixon
Author: Yu-Ting Liu
Author: Andrew J. McLeod
Author: Matthias Wilhelm

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