An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM

Details An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM

2009-11-27

arxiv.org/abs/0911.5332v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages. Extended discussion on how the QMRK limit is taken. Version accepted by JHEP. A text file containing the Mathematica

Scientific paper

In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be basically given in terms of the one-loop n-edged Wilson loop, augmented, for n greater than 6, by a function of conformally invariant cross ratios. We identify a class of kinematics for which the Wilson loop exhibits exact Regge factorisation and which leave invariant the analytic form of the multi-loop n-edged Wilson loop. In those kinematics, the analytic result for the Wilson loop is the same as in general kinematics, although the computation is remarkably simplified with respect to general kinematics. Using the simplest of those kinematics, we have performed the first analytic computation of the two-loop six-edged Wilson loop in general kinematics.

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