Bootstrapping a stress-tensor form factor through eight loops
Bootstrapping a stress-tensor form factor through eight loops
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.
Extended Supersymmetry, Scattering Amplitudes, Wilson, ’t Hooft and Polyakov loops
Dixon, Lance J.
771aff61-aeac-479c-b3eb-e701b88e664b
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
McLeod, Andrew J.
9e943513-29be-4efe-9a93-87f96afd071a
Wilhelm, Matthias
79808605-9a18-46ed-bad3-848349235708
26 July 2022
Dixon, Lance J.
771aff61-aeac-479c-b3eb-e701b88e664b
Gurdogan, Omer
841de8b6-4eb2-407f-a4c4-c8136403794d
McLeod, Andrew J.
9e943513-29be-4efe-9a93-87f96afd071a
Wilhelm, Matthias
79808605-9a18-46ed-bad3-848349235708
Dixon, Lance J., Gurdogan, Omer, McLeod, Andrew J. and Wilhelm, Matthias
(2022)
Bootstrapping a stress-tensor form factor through eight loops.
JHEP, 2022 (7), [153].
(doi:10.1007/JHEP07(2022)153).
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.
Text
2204.11901v1
- Author's Original
Text
JHEP07(2022)153
- Version of Record
More information
Accepted/In Press date: 21 June 2022
Published date: 26 July 2022
Additional Information:
Publisher Copyright:
© 2022, The Author(s).
Keywords:
Extended Supersymmetry, Scattering Amplitudes, Wilson, ’t Hooft and Polyakov loops
Identifiers
Local EPrints ID: 472307
URI: http://eprints.soton.ac.uk/id/eprint/472307
ISSN: 1126-6708
PURE UUID: 42f20cd3-b49a-49c1-933d-17e03311e116
Catalogue record
Date deposited: 30 Nov 2022 18:05
Last modified: 16 Mar 2024 23:05
Export record
Altmetrics
Contributors
Author:
Lance J. Dixon
Author:
Andrew J. McLeod
Author:
Matthias Wilhelm
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics