Leading Singularities of the Two-Loop Six-Particle MHV Amplitude

Details Leading Singularities of the Two-Loop Six-Particle MHV Amplitude Leading Singularities of the Two-Loop Six-Particle MHV Amplitude

2008-05-30

arxiv.org/abs/0805.4832v2

Phys.Rev.D78:105022,2008

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.78.105022

We use the leading singularity technique to determine the planar six-particle two-loop MHV amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. Our result for the parity even part of the amplitude agrees with the one recently presented in arXiv:0803.1465. The parity-odd part of the amplitude is a new result. The leading singularity technique reduces the determination of the amplitude to finding the solution to a system of linear equations. The system of equations is easily found by computing residues. We present the complete system of equations which determines the whole amplitude, and solve the two-by-two blocks analytically. Larger blocks are solved numerically in order to test the ABDK/BDS iterative structure.

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