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MHV diagrams in momentum twistor space.

Bullimore, Mathew and Mason, Lionel and Skinner, David (2010) 'MHV diagrams in momentum twistor space.', Journal of high energy physics., 2010 (12). 032.

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, 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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP12(2010)032
Publisher statement:The final publication is available at Springer via https://doi.org/10.1007/JHEP12(2010)032.
Date accepted:27 September 2010
Date deposited:02 July 2018
Date of first online publication:06 December 2010
Date first made open access:No date available

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