Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
High Energy Physics - Theory
2009-02-05 v2
Abstract
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.
Cite
@article{arxiv.0805.4832,
title = {Leading Singularities of the Two-Loop Six-Particle MHV Amplitude},
author = {Freddy Cachazo and Marcus Spradlin and Anastasia Volovich},
journal= {arXiv preprint arXiv:0805.4832},
year = {2009}
}