Abstract
We analyse the OPE contribution of gluon bound states in the double scaling limit of the hexagonal Wilson loop in planar \( \mathcal{N}=4 \) 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 → 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.
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Drummond, J.M., Papathanasiou, G. Hexagon OPE resummation and multi-Regge kinematics. J. High Energ. Phys. 2016, 185 (2016). https://doi.org/10.1007/JHEP02(2016)185
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DOI: https://doi.org/10.1007/JHEP02(2016)185