Springer, Journal of High Energy Physics, 03(2009), p. 144-144, 2009
DOI: 10.1088/1126-6708/2009/03/144
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Starting from the integrable two-loop spin-chain Hamiltonian describing the anomalous dimensions of scalar operators in the planar Script N = 6 superconformal Chern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatz computation of the corresponding two-loop S-matrix. The result matches with the weak-coupling limit of the scalar sector of the all-loop S-matrix which we have recently proposed. In particular, we confirm that the scattering of Script A and Script B particles is reflectionless. As a warm up, we first review the analogous computation of the one-loop S-matrix from the one-loop dilatation operator for the scalar sector of planar Script N = 4 superconformal Yang-Mills theory, and compare the result with the all-loop SU(2|2)2 S-matrix.