Bootstrapping a stress-tensor form factor through eight loops

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Bootstrapping a stress-tensor form factor through eight loops. / Dixon, Lance J.; Gurdogan, Omer; McLeod, Andrew J.; Wilhelm, Matthias.

In: Journal of High Energy Physics, Vol. 2022, No. 7, 153, 26.07.2022.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Dixon, LJ, Gurdogan, O, McLeod, AJ & Wilhelm, M 2022, 'Bootstrapping a stress-tensor form factor through eight loops', Journal of High Energy Physics, vol. 2022, no. 7, 153. https://doi.org/10.1007/JHEP07(2022)153

APA

Dixon, L. J., Gurdogan, O., McLeod, A. J., & Wilhelm, M. (2022). Bootstrapping a stress-tensor form factor through eight loops. Journal of High Energy Physics, 2022(7), [153]. https://doi.org/10.1007/JHEP07(2022)153

Vancouver

Dixon LJ, Gurdogan O, McLeod AJ, Wilhelm M. Bootstrapping a stress-tensor form factor through eight loops. Journal of High Energy Physics. 2022 Jul 26;2022(7). 153. https://doi.org/10.1007/JHEP07(2022)153

Author

Dixon, Lance J. ; Gurdogan, Omer ; McLeod, Andrew J. ; Wilhelm, Matthias. / Bootstrapping a stress-tensor form factor through eight loops. In: Journal of High Energy Physics. 2022 ; Vol. 2022, No. 7.

Bibtex

@article{d1bfa5ec5aed4d85b459264a62eaa0bc,
title = "Bootstrapping a stress-tensor form factor through eight loops",
abstract = "We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar N = 4 supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion. This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. We provide details about the function space required to describe the form factor through eight loops. Plotting the results on various lines provides striking numerical evidence for a finite radius of convergence of perturbation theory. By the principle of maximal transcendentality, our results are expected to give the highest weight part of the gg -> Hg and H -> ggg amplitudes in the heavy-top limit of QCD through eight loops. These results were also recently used to discover a new antipodal duality between this form factor and a six-point amplitude in the same theory.",
keywords = "Scattering Amplitudes, Extended Supersymmetry, Wilson, 't Hooft and Polyakov loops, GALOIS COACTION, YANG-MILLS, AMPLITUDES, PENTAGONS",
author = "Dixon, {Lance J.} and Omer Gurdogan and McLeod, {Andrew J.} and Matthias Wilhelm",
year = "2022",
month = jul,
day = "26",
doi = "10.1007/JHEP07(2022)153",
language = "English",
volume = "2022",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "7",

}

RIS

TY - JOUR

T1 - Bootstrapping a stress-tensor form factor through eight loops

AU - Dixon, Lance J.

AU - Gurdogan, Omer

AU - McLeod, Andrew J.

AU - Wilhelm, Matthias

PY - 2022/7/26

Y1 - 2022/7/26

N2 - We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar N = 4 supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion. This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. We provide details about the function space required to describe the form factor through eight loops. Plotting the results on various lines provides striking numerical evidence for a finite radius of convergence of perturbation theory. By the principle of maximal transcendentality, our results are expected to give the highest weight part of the gg -> Hg and H -> ggg amplitudes in the heavy-top limit of QCD through eight loops. These results were also recently used to discover a new antipodal duality between this form factor and a six-point amplitude in the same theory.

AB - We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar N = 4 supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion. This may represent the highest perturbative order to which multi-variate quantities in a unitary four-dimensional quantum field theory have been computed. In computing this form factor, we observe and employ new restrictions on pairs and triples of adjacent letters in the symbol. We provide details about the function space required to describe the form factor through eight loops. Plotting the results on various lines provides striking numerical evidence for a finite radius of convergence of perturbation theory. By the principle of maximal transcendentality, our results are expected to give the highest weight part of the gg -> Hg and H -> ggg amplitudes in the heavy-top limit of QCD through eight loops. These results were also recently used to discover a new antipodal duality between this form factor and a six-point amplitude in the same theory.

KW - Scattering Amplitudes

KW - Extended Supersymmetry

KW - Wilson

KW - 't Hooft and Polyakov loops

KW - GALOIS COACTION

KW - YANG-MILLS

KW - AMPLITUDES

KW - PENTAGONS

U2 - 10.1007/JHEP07(2022)153

DO - 10.1007/JHEP07(2022)153

M3 - Journal article

VL - 2022

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 7

M1 - 153

ER -

ID: 315759616