Folding Amplitudes into Form Factors: An Antipodal Duality

Dixon, Lance J., Gurdogan, Omer, McLeod, Andrew J. and Wilhelm, Matthias (2022) Folding Amplitudes into Form Factors: An Antipodal Duality. Phys.Rev.Lett., 128 (11), [111602]. (doi:10.1103/PhysRevLett.128.111602).

Record type: Article

Abstract

We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar N=4 super-Yang-Mills theory is dual to the six-gluon MHV amplitude on its parity-preserving surface. Up to a simple variable substitution, the map between these two quantities is given by the antipode operation defined on polylogarithms (as part of their Hopf algebra structure), which acts at symbol level by reversing the order of letters in each term. We provide evidence for this duality through seven loops.

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Accepted/In Press date: 12 December 2021

e-pub ahead of print date: 15 March 2022

Published date: 15 March 2022

Additional Information: Funding Information: We would like to thank Benjamin Basso, Francis Brown, Claude Duhr, Andy Liu, and Cristian Vergu for stimulating discussions. This research was supported by the U.S. Department of Energy under Contract No. DE–AC02–76SF00515. A. J. M. and M. W. were supported in part by the ERC starting Grants No. 757978 and No. 00015369 from Villum Fonden. M. W. was additionally supported by Grant No. 00025445 from Villum Fonden. Ö. G. is supported by the UKRI/EPSRC Stephen Hawking Fellowship EP/T016396/1. Publisher Copyright: © 2022 authors. Published by the American Physical Society.

Keywords: hep-ph, hep-th