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arXiv · 0808.1054

Three-Loop Leading Singularities and BDS Ansatz for Five Particles

Marcus Spradlin·Anastasia Volovich·Congkao Wen
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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.

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Marcus Spradlin, Anastasia Volovich, Congkao Wen. 2008-10-15. Three-Loop Leading Singularities and BDS Ansatz for Five Particles. https://doi.org/10.1103/physrevd.78.085025

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