MHV Diagrams in Momentum Twistor Space
arXiv:1009.1854 · doi:10.1007/JHEP12(2010)032
Abstract
We show that there are remarkable simplifications when the MHV diagram formalism for N=4 super Yang-Mills is reformulated in momentum twistor space. The vertices are replaced by unity while each propagator becomes a dual superconformal `R-invariant' whose arguments may be read off from the diagram. The momentum twistor MHV rules generate a formula for the full, all-loop planar integrand of the super Yang-Mills S-matrix that is manifestly dual superconformally invariant up to the choice of a reference twistor. We give a general proof of this reformulation and illustrate its use by computing the momentum twistor NMHV and NNMHV tree amplitudes and the integrands of the MHV and NMHV 1-loop and the MHV 2-loop planar amplitudes.
36 pages, 13 figures
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Cited by in corpus (7)
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- Notes on the scattering amplitude / Wilson loop duality
- Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
- Holomorphic Linking, Loop Equations and Scattering Amplitudes in Twistor Space
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