Bootstrapping a stress-tensor form factor through eight loops

Lance J. Dixon*, Omer Gurdogan, Andrew J. McLeod, Matthias Wilhelm

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

26 Citations (Scopus)
17 Downloads (Pure)

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.

Original languageEnglish
Article number153
JournalJournal of High Energy Physics
Volume2022
Issue number7
Number of pages43
ISSN1029-8479
DOIs
Publication statusPublished - 26 Jul 2022

Keywords

  • Scattering Amplitudes
  • Extended Supersymmetry
  • Wilson
  • 't Hooft and Polyakov loops
  • GALOIS COACTION
  • YANG-MILLS
  • AMPLITUDES
  • PENTAGONS

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