All Split Helicity Tree-Level Gluon Amplitudes

Authors:
  • RBRuth Britto
    Ruth Britto
  • BFBo Feng
    Bo Feng
  • RRRadu Roiban
    Radu Roiban
  • MSMarcus Spradlin
    Marcus Spradlin
  • AVAnastasia Volovich
    Anastasia Volovich
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Abstract
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.