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MHV diagrams in momentum twistor space

Bullimore, Mathew; Mason, Lionel; Skinner, David

MHV diagrams in momentum twistor space Thumbnail


Lionel Mason

David Skinner


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.


Bullimore, M., Mason, L., & Skinner, D. (2010). MHV diagrams in momentum twistor space. Journal of High Energy Physics, 2010(12), Article 032.

Journal Article Type Article
Acceptance Date Sep 27, 2010
Online Publication Date Dec 6, 2010
Publication Date Dec 6, 2010
Deposit Date Jun 7, 2018
Publicly Available Date Jul 2, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2010
Issue 12
Article Number 032


Accepted Journal Article (1.2 Mb)

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