Abstract
In this paper, we develop a rather general way to reduce integrands with polarization involved in the Cachazo-He-Yuan formulae, such as the reduced Pfaffian, its compactification and its squeezing, as well as the new object for F 3 amplitude. We prove that the reduced Pfaffian vanishes unless evaluated on a certain set of solutions. It leads us to build up the 4d CHY formulae using spinors, which strains off many useless solutions. The supersymmetrization is straightforward and may provide a hint to understand ambitwistor string in 4d.
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Zhang, Y. CHY formulae in 4d. J. High Energ. Phys. 2017, 69 (2017). https://doi.org/10.1007/JHEP07(2017)069
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DOI: https://doi.org/10.1007/JHEP07(2017)069