Citation

Bullimore M, Mason L, Skinner D. J. High Energ. Phys. 2010; 2010(12): 1-33.

Copyright

(Copyright © 2010)

DOI

10.1007/JHEP12(2010)032

PMID

unavailable

Abstract

We show that there are remarkable simplifications when the MHV diagram formalism for ( mathcal{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, and include an arbitrarily chosen reference twistor. The momentum twistor MHV rules generate a formula for the full, all-loop planar integrand for 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 N2MHV tree amplitudes and the integrands of the MHV and NMHV 1-loop and the MHV 2-loop planar amplitudes.

Language: en