MHV diagrams from an all-loop recursion relation

Bullimore, Mathew

Abstract

We derive an all-loop recursion relation for the rational integrands of scattering amplitudes in planar N=4 super Yang-Mills theory. The recursion relation is generated by an all-line shift of momentum twistors. We solve the recursion relation in detail for 1-loop and 2-loop integrands of MHV and NMHV amplitudes, and show that the general solution of the recursion relation is the MHV diagram formalism, thus proving its validity for all rational loop integrands.

Citation

Bullimore, M. (2011). MHV diagrams from an all-loop recursion relation. Journal of High Energy Physics, 2011(08), Article 107. https://doi.org/10.1007/jhep08%282011%29107

• Journal Article Type: Article
• Acceptance Date: Aug 1, 2011
• Online Publication Date: Aug 23, 2011
• Publication Date: Aug 23, 2011
• 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: 2011
• Issue: 08
• Article Number: 107
• DOI: https://doi.org/10.1007/jhep08%282011%29107