Folding Amplitudes into Form Factors: An Antipodal Duality

Research output: Contribution to journal › Letter › Research › peer-review

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Folding Amplitudes into Form Factors : An Antipodal Duality. / Dixon, Lance J.; Gurdogan, Omer; McLeod, Andrew J.; Wilhelm, Matthias.

In: Physical Review Letters, Vol. 128, No. 11, 111602, 15.03.2022.

Research output: Contribution to journal › Letter › Research › peer-review

Harvard

Dixon, LJ, Gurdogan, O, McLeod, AJ & Wilhelm, M 2022, 'Folding Amplitudes into Form Factors: An Antipodal Duality', Physical Review Letters, vol. 128, no. 11, 111602. https://doi.org/10.1103/PhysRevLett.128.111602

APA

Dixon, L. J., Gurdogan, O., McLeod, A. J., & Wilhelm, M. (2022). Folding Amplitudes into Form Factors: An Antipodal Duality. Physical Review Letters, 128(11), [111602]. https://doi.org/10.1103/PhysRevLett.128.111602

Vancouver

Dixon LJ, Gurdogan O, McLeod AJ, Wilhelm M. Folding Amplitudes into Form Factors: An Antipodal Duality. Physical Review Letters. 2022 Mar 15;128(11). 111602. https://doi.org/10.1103/PhysRevLett.128.111602

Author

Dixon, Lance J. ; Gurdogan, Omer ; McLeod, Andrew J. ; Wilhelm, Matthias. / Folding Amplitudes into Form Factors : An Antipodal Duality. In: Physical Review Letters. 2022 ; Vol. 128, No. 11.

Bibtex

@article{b668882ee50c47c0a01ae3cffbd50279,
title = "Folding Amplitudes into Form Factors: An Antipodal Duality",
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.",
keywords = "YANG-MILLS, PENTAGONS, LOOPS",
author = "Dixon, {Lance J.} and Omer Gurdogan and McLeod, {Andrew J.} and Matthias Wilhelm",
year = "2022",
month = mar,
day = "15",
doi = "10.1103/PhysRevLett.128.111602",
language = "English",
volume = "128",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "11",

}

RIS

TY - JOUR

T1 - Folding Amplitudes into Form Factors

T2 - An Antipodal Duality

AU - Dixon, Lance J.

AU - Gurdogan, Omer

AU - McLeod, Andrew J.

AU - Wilhelm, Matthias

PY - 2022/3/15

Y1 - 2022/3/15

N2 - 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.

AB - 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.

KW - YANG-MILLS

KW - PENTAGONS

KW - LOOPS

U2 - 10.1103/PhysRevLett.128.111602

DO - 10.1103/PhysRevLett.128.111602

M3 - Letter

C2 - 35363002

VL - 128

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 11

M1 - 111602

ER -

ID: 302378964