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MHV diagrams from an all-loop recursion relation

Bullimore, Mathew

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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.


Bullimore, M. (2011). MHV diagrams from an all-loop recursion relation. Journal of High Energy Physics, 2011(08), Article 107.

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


Accepted Journal Article (835 Kb)

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