@article{ref1,
title="MHV diagrams in momentum twistor space",
journal="J. High Energ. Phys.",
year="2010",
author="Bullimore, Mathew and Mason, Lionel and Skinner, David",
volume="2010",
number="12",
pages="1-33",
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.<p /><p>Language: en</p>",
language="en",
issn="1029-8479",
doi="10.1007/JHEP12(2010)032",
url="http://dx.doi.org/10.1007/JHEP12(2010)032"
}