Tree-level split helicity amplitudes in ambitwistor space

@article{Chen2009TreelevelSH,
  title={Tree-level split helicity amplitudes in ambitwistor space},
  author={Bin Chen and Jun-bao Wu},
  journal={Physical Review D},
  year={2009},
  volume={80},
  pages={125031}
}
We study all tree-level split helicity gluon amplitudes by using the recently proposed Britto-Cachazo-Feng-Witten recursion relation and Hodges diagrams in ambitwistor space. We pick out the contributing diagrams and find that all of them can be divided into triangles in a suitable way. We give the explicit expressions for all of these amplitudes. As an example, we reproduce the six-gluon split next-to-maximally-helicity-violating amplitudes in momentum space. 

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