Three-Loop Leading Singularities and BDS Ansatz for Five Particles
High Energy Physics - Theory
2008-11-26 v2
Abstract
We use the leading singularity technique to determine the planar three-loop five-particle amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. We analytically compute the integral coefficients for both the parity-even and the parity-odd parts of the amplitude. The parity-even part involves only dual conformally invariant integrals. Using the method of obstructions we numerically evaluate two previously unfixed coefficients which appear in the three-loop BDS ansatz.
Cite
@article{arxiv.0808.1054,
title = {Three-Loop Leading Singularities and BDS Ansatz for Five Particles},
author = {Marcus Spradlin and Anastasia Volovich and Congkao Wen},
journal= {arXiv preprint arXiv:0808.1054},
year = {2008}
}
Comments
20 pages, 2 figures, v2: very minor changes