Three-Loop Leading Singularities and BDS Ansatz for Five Particles

Details Three-Loop Leading Singularities and BDS Ansatz for Five Particles Three-Loop Leading Singularities and BDS Ansatz for Five Particles

2008-08-07

arxiv.org/abs/0808.1054v2

Phys.Rev.D78:085025,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures, v2: very minor changes

Scientific paper

10.1103/PhysRevD.78.085025

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.

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