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UV consistency conditions for CHY integrands

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arxiv 2005.06446 v1 pith:WHUQN75D submitted 2020-05-13 hep-th

classification hep-th
keywords findintegrandsscalingspacetimetheoryamplitudesassumptionsback
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We extend on-shell bootstrap methods from spacetime amplitudes to the worldsheet objects of the CHY formalism. We find that the integrands corresponding to tree-level non-linear sigma model, Yang-Mills and $(DF)^2$ theory are determined by demanding enhanced UV scaling under BCFW shifts. Back in spacetime, we also find that $(DF)^2$ theory is fixed by gauge invariance/UV scaling and simple locality assumptions.

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