UV consistency conditions for CHY integrands

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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• Hidden Conformal Invariance of Scalar Effective Field Theories
• Emergence of Unitarity and Locality from Hidden Zeros at One-Loop Order