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2020

The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM

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

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We study the maximally-helicity-violating (MHV) six-gluon scattering amplitude in planar $\mathcal{N} = 4$ 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 OPE, we present conjectures for the all-order resummation of these anomalous dimensions.
At strong coupling, our predictions agree perfectly with the string theory analysis.

The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM · Around

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