Henriette Elvang et al JHEP06(2009)068 doi:10.1088/1126-6708/2009/06/068
Proof of the MHV vertex expansion for all tree amplitudes in 
= 4 SYM theory
Henriette Elvanga, Daniel Z. Freedmanb,c and Michael Kiermaierb
Show affiliations = 4 SYM theory. The proof uses a shift acting on all external momenta, and we show that every NkMHV tree amplitude falls off as 1/zk, or faster, for large z under this shift. The MHV vertex expansion allows us to derive compact and efficient generating functions for all NkMHV tree amplitudes of the theory. We also derive an improved form of the anti-NMHV generating function. The proof leads to a curious set of sum rules for the diagrams of the MHV vertex expansion.
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E-print Number: 0811.3624
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Issue 06 (June 2009)
Received 11 March 2009, accepted for publication 1 June 2009
Published 22 June 2009
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Proof of the MHV vertex expansion for all tree amplitudes in = 4 SYM theory
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