Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
May, 2008
28 pages
Published in:
- Phys.Rev.D 78 (2008) 105022
e-Print:
- 0805.4832 [hep-th]
Report number:
- BROWN-HET-1551
View in:
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Abstract: (arXiv)
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.- 12.60.Jv
- 11.25.Tq
- 11.15.Bt
- 11.25.Db
- gauge field theory: Yang-Mills
- supersymmetry: 4
- n-point function: 6
- perturbation theory: higher-order
- higher-order: 2
- field theory: planar
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