  We analyse the OPE contribution of gluon bound states in the double scaling
limit of the hexagonal Wilson loop in planar N=4 super Yang-Mills theory. We
provide a systematic procedure for perturbatively resumming the contributions
from single-particle bound states of gluons and expressing the result order by
order in terms of two-variable polylogarithms. We also analyse certain
contributions from two-particle gluon bound states and find that, after
analytic continuation to the $2\to 4$ Mandelstam region and passing to
multi-Regge kinematics (MRK), only the single-particle gluon bound states
contribute. From this double-scaled version of MRK we are able to reconstruct
the full hexagon remainder function in MRK up to five loops by invoking
single-valuedness of the results.
