MHV Diagrams in Momentum Twistor Space
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.
Keywords
Cite
@article{arxiv.1009.1854,
title = {MHV Diagrams in Momentum Twistor Space},
author = {Mathew Bullimore and Lionel Mason and David Skinner},
journal= {arXiv preprint arXiv:1009.1854},
year = {2010}
}
Comments
36 pages, 13 figures