Analyticity for multi-Regge limits of the Bern-Dixon-Smirnov amplitudes

As a consequence of the AdS/CFT correspondence, planar N = 4 super-Yang-Mills SU(N) theory is expected to exhibit stringy behavior and multi-Regge asymptotic. fit this paper we extend our recent investigation to consider issues of analyticity, a central feature of Regge asymptotics. We contrast flat-space open string theory in the planar limit with the N = 4 super-Yang-Mills theory, as represented by the Bern, Dixon and Smirnov (2005) [1] (BIDS) conjecture for n-gluon scattering, believed to be exact for it = 4, 5 and modified only by a function of cross-ratios for n >= 6. It is emphasized that multi-Regge factorization should be applied to trajectories with definite signature. A variety of analyticity and factorization constraints realized in flat space string theory are not satisfied by the BIDS conjecture. at least when the exponential factors are truncate in the infra-red regulator below O(epsilon). (C) 2009 Elsevier B.V. All rights reserved.