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arXiv · 1010.6256

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

Song He·Tristan McLoughlin
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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 the MHV vertex expressions for tree-level amplitudes and loop integrands 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 cyclically invariant formula satisfies the recursion relations for all numbers of legs and all loop orders.

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Song He, Tristan McLoughlin. 2010-10-29. On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM. https://doi.org/10.1007/jhep02(2011)116

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