Journal Article

Bootstrapping a stress-tensor form factor through eight loops

McLeod, Andrew J., Gürdoğan, Ömer, Wilhelm, Matthias, Dixon, Lance J.

2022

Overview

A bstract 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.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,Springer Nature,SpringerOpen
• Subject: Amplitudes / Classical and Quantum Gravitation / Elementary Particles / Extended Supersymmetry / Fine structure / Form factors / Function space / High energy physics / Jhep 25th Anniversary Special Issue / JHEP ANNIVERSARY SPECIAL ISSUE / Mathematical analysis / Operators (mathematics) / Perturbation theory / Physics / Physics and Astronomy / PHYSICS OF ELEMENTARY PARTICLES AND FIELDS / Quantum chromodynamics / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Quantum theory / Relativity Theory / Scattering Amplitudes / String Theory / Tensors / Wilson, ’t Hooft and Polyakov loops / Yang-Mills theory