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|a Elvang, Henriette
|e author
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|a Massachusetts Institute of Technology. Center for Theoretical Physics
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Freedman, Daniel Z.
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|a Freedman, Daniel Z.
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|a Kiermaier, Michael
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|a Elvang, Henriette
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|a Freedman, Daniel Z.
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|a Kiermaier, Michael
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|a Recursion relations, generating functions, and unitarity sums in N=4 SYM theory
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|b Institute of Physics,
|c 2011-06-21T16:56:48Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/64630
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|a We prove that the MHV vertex expansion is valid for any NMHV tree amplitude of Script N = 4 SYM. The proof uses induction to show that there always exists a complex deformation of three external momenta such that the amplitude falls off at least as fast as 1/z for large z. This validates the generating function for n-point NMHV tree amplitudes. We also develop generating functions for anti-MHV and anti-NMHV amplitudes. As an application, we use these generating functions to evaluate several examples of intermediate state sums on unitarity cuts of 1-, 2-, 3- and 4-loop amplitudes. In a separate analysis, we extend the recent results of arXiv:0808.0504 to prove that there exists a valid 2-line shift for any n-point tree amplitude of Script N = 4 SYM. This implies that there is a BCFW recursion relation for any tree amplitude of the theory.
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|a en_US
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|a Article
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|t Journal of High Energy Physics
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