Five-loop anomalous dimension of twist-two operators

In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar, N = 4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the Ac/S-5 x S-5 sigma model to determine the wrapping correction. The anomalous dimension found in this way passes all known tests provided by the NLO BFKL equation and double-logarithmic constraints. This result thus furnishes an infinite number of experimental data for testing the veracity of the recently proposed spectral equations for planar AdS/CFT correspondence. (C) 2010 Elsevier B. V All rights reserved.