Wilson Loops @ 3-Loops in Special Kinematics
High Energy Physics - Theory
2015-05-30 v2 High Energy Physics - Phenomenology
Abstract
We obtain a compact expression for the octagon MHV amplitude / Wilson loop at 3 loops in planar N=4 SYM and in special 2d kinematics in terms of 7 unfixed coefficients. We do this by making use of the cyclic and parity symmetry of the amplitude/Wilson loop and its behaviour in the soft/collinear limits as well as in the leading term in the expansion away from this limit. We also make a natural and quite general assumption about the functional form of the result, namely that it should consist of weight 6 polylogarithms whose symbol consists of basic cross-ratios only (and not functions thereof). We also describe the uplift of this result to 10 points.
Cite
@article{arxiv.1109.0058,
title = {Wilson Loops @ 3-Loops in Special Kinematics},
author = {Paul Heslop and Valentin V. Khoze},
journal= {arXiv preprint arXiv:1109.0058},
year = {2015}
}
Comments
26 pages. Typos corrected