MHV Diagrams in Momentum Twistor Space

Details MHV Diagrams in Momentum Twistor Space MHV Diagrams in Momentum Twistor Space

2010-09-09

arxiv.org/abs/1009.1854v1

JHEP 1012:032,2010

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 13 figures

Scientific paper

10.1007/JHEP12(2010)032

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.

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