Tree-level Split Helicity Amplitudes in Ambitwistor Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, 16 figures; minor changes; clarifications added, 22 pages, 16 figures

Scientific paper

10.1103/PhysRevD.80.125031

We study all tree-level split helicity gluon amplitudes by using the recently proposed BCFW 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 NMHV amplitudes in momentum space.

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