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The integrable structures of N=4 super Yang-Mills theory in the planar limit manifest themselves at the level of scattering amplitudes through a nonlocal infinite dimensional symmetry structure known as the Yangian of psu(2,2|4). It results from the fusion of superconformal and dual superconformal symmetry of scattering amplitudes. I will give a review of the status of this symmetry at tree and also loop level, where the superconformal symmetry is broken due to infrared divergencies. I shall also report on some new results towards a nonlocal symmetry structure in the regulated theory.