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We report on the complete OPE series for the 6-gluon MHV and NMHV amplitudesin planar $\mathcal{N}=4$ SYM theory. Namely, we provide a finite couplingprediction for all the terms in the expansion of these amplitudes around thecollinear limit. These furnish a non-perturbative representation of the fullamplitudes.

Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling