Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory

Basso, Benjamin; Dixon, Lance J.; Papathanasiou, Georgios

doi:10.1103/PhysRevLett.124.161603

Title: Origin of the Six-Gluon Amplitude in Planar $N = 4$ Supersymmetric Yang-Mills Theory

Journal Article · Wed Apr 22 00:00:00 EDT 2020 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.124.161603· OSTI ID:1615708

Basso, Benjamin;

;

We study the maximally-helicity-violating six-gluon scattering amplitude in planar $N = 4$ super-Yang-Mills theory at finite coupling when all three cross ratios are small. It exhibits a double logarithmic scaling in the cross ratios, controlled by a handful of “anomalous dimensions” that are functions of the coupling constant alone. Inspired by known seven-loop results at weak coupling and the integrability-based pentagon operator product expansion, we present conjectures for the all-order resummation of these anomalous dimensions. At strong coupling, our predictions agree perfectly with the string theory analysis. Intriguingly, the simplest of these anomalous dimensions coincides with one describing the lightlike limit of the octagon, namely, the four-point function of large-charge Bogomol’nyi–Prasad–Sommerfield (BPS) operators.

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); French National Agency for Research

Grant/Contract Number:: AC02-76SF00515; ANR-17-CE31-0001-02

OSTI ID:: 1615708

Alternate ID(s):: OSTI ID: 1616294

Report Number(s):: SLAC-PUB-17501; PRLTAO; 161603

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 124 Journal Issue: 16; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM Basso, Benjamin; Dixon, Lance J.; Papathanasiou, Georgios Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01802	text	January 2020

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Title: Origin of the Six-Gluon Amplitude in Planar $N = 4$ Supersymmetric Yang-Mills Theory