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We study the strong coupling behaviour of null polygonal Wilson loops/gluonamplitudes in $\mathcal{N} = 4$ SYM, by using the OPE series and itsintegrability features. For the hexagon we disentangle the $SU(4)$ matrixstructure of the form factors for fermions, organising them in a patternsimilar to the Young diagrams used previously for the scalar sector\cite{BFPR2,BFPR3}. Then, we complete and extend the discussion of \cite{BFPR1}by showing, at strong coupling, the appearance of a new effective particle inthe series: the fermion-antifermion bound state, the so-called meson. Wediscuss its interactions in the OPE series with itself by forming (effective)bound states and with the gluons and bound states of them. These lead the OPEseries to the known $AdS_5$ minimal area result for the Wls, described in termsof a set of TBA-like equations. This approach allows us to detect all theone-loop contributions and, once the meson has formed, applies to$\mathcal{N}=2$ Nekrasov partition function via the parallel meson/instanton(in particular, they share the mechanism by which their bound states emerge andform the TBA node). Finally, to complete the strong coupling analysis, weconsider the scalar sector for any polygon, confirming the emergence of aleading contribution from the non-perturbative theory on the sphere $S^5$.

Fermions and scalars in $\mathcal{N} = 4$ Wilson loops at strong coupling and beyond