Local integrals for planar scattering amplitudes

  title={Local integrals for planar scattering amplitudes},
  author={Nima Arkani-Hamed and Jacob L. Bourjaily and Freddy Cachazo and Jaroslav Trnka},
  journal={Journal of High Energy Physics},
A bstractRecently, an explicit, recursive formula for the all-loop integrand of planar scattering amplitudes in $ \mathcal{N} = {4} $ SYM has been described, generalizing the BCFW formula for tree amplitudes, and making manifest the Yangian symmetry of the theory. This has made it possible to easily study the structure of multi-loop amplitudes in the theory. In this paper we describe a remarkable fact revealed by these investigations: the integrand can be expressed in an amazingly simple and… 

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