MHV Diagrams in Momentum Twistor Space

Journal article

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.

Authors: Bullimore, M; Mason, L; Skinner, D

• Publication status: Published
• Journal: JHEP
• Volume: 1012
• Issue: 12
• Pages: 032
• Publication date: 2010-09-09
• DOI: 10.1007/JHEP12(2010)032
• EISSN: 1029-8479
• ISSN: 1126-6708
• Keywords: hep-th