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
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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