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Wilson Loops @ 3-Loops in Special Kinematics | | Paul Heslop
; Valentin V. Khoze
; | | Date: |
1 Sep 2011 | | Abstract: | We obtain a compact expression for the octagon MHV amplitude / Wilson loop at
3 loops in planar $cN$=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. | | Source: | arXiv, 1109.0058 | | Services: | Forum | Review | PDF | Favorites | |
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