Beyond cusp anomalous dimension from integrability in SYM${}_4$

Abstract

We study the first sub-leading correction $O((\ln s{)}^0)$ to the cusp anomalous dimension in the high spin expansion of finite twist operators in $\mathcal{N}=4$ SYM theory. This term is still governed by a linear integral equation which we study in the weak and strong coupling regimes. In the strong coupling regime we find agreement with the string theory computations

5 pages, contribution to the proceedings of the workshop Diffraction 2010, Otranto, 10th-15th September, talk given by M.Rossi; v2: references added

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