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Maximal helicity-violating scattering amplitudes in N=4 supersymmetricYang-Mills theory are dual to Wilson loops on closed null polygons. We performtheir operator product expansion analysis in two-dimensional kinematics in thesoft-collinear approximation which corresponds to the case when some light-conedistances vanish. We construct the expansion in terms of multi-particle"heavy"-light operators, where the "heavy" fields are identified with theWilson lines defining the OPE channel and the light fields emerge from thecurvature of the contour. The correlation function of these define theremainder function. We study the dilatation operator for these operators at oneloop order and find that it corresponds to a non-compact open spin chain. Thisprovides an alternative view on elementary excitations propagating on the GKPstring at weak coupling, which now correspond to particles traveling along anopen spin chain. The factorized structure of the Wilson loop in the soft limitallows one to represent the two-loop correction to the octagon Wilson loop as aconvolution formula and find the corresponding remainder function.

OPE for null Wilson loops and open spin chains