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All Split Helicity Tree-Level Gluon Amplitudes

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arxiv hep-th/0503198 v2 pith:SSIJO7NF submitted 2005-03-25 hep-th hep-ph

All Split Helicity Tree-Level Gluon Amplitudes

classification hep-th hep-ph
keywords amplitudeshelicitygluonrecursionsplittree-leveladmitsarbitrarily
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with arbitrarily many positive and negative helicity gluons in a split helicity configuration. The solution admits a simple diagrammatic expansion in terms of zigzag diagrams. We comment on generalizations of this result.

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