MHV diagrams in momentum twistor space

Bullimore, Mathew; Mason, Lionel; Skinner, David

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.

Citation

Bullimore, M., Mason, L., & Skinner, D. (2010). MHV diagrams in momentum twistor space. Journal of High Energy Physics, 2010(12), Article 032. https://doi.org/10.1007/jhep12%282010%29032

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2010
• Issue: 12
• Article Number: 032
• DOI: https://doi.org/10.1007/jhep12%282010%29032
• Public URL: https://durham-repository.worktribe.com/output/1324770