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On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM

MPS-Authors
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He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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McLoughlin,  Tristan
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1010.6256
(Preprint), 370KB

JHEP02_2011_116.pdf
(Any fulltext), 490KB

Supplementary Material (public)
There is no public supplementary material available
Citation

He, S., & McLoughlin, T. (2011). On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM. Journal of High Energy Physics, 2011(02): 116. doi:10.1007/JHEP02(2011)116.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-CE72-4
Abstract
We study the relationship between the momentum twistor MHV vertex expansion of planar amplitudes in N=4 super-Yang-Mills and the all-loop generalization of the BCFW recursion relations. We demonstrate explicitly in several examples that for tree-level amplitudes and loop integrands the MHV vertex expressions satisfy the recursion relations. Furthermore, we introduce a rewriting of the MHV expansion in terms of sums over non-crossing partitions and show that this cyclic invariant formula satisfies the recursion relations for all numbers of legs and all loop orders.