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.

References in corpus (10)

• New Relations for Gauge-Theory Amplitudes
• Effective Field Theories from Soft Limits
• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• A Periodic Table of Effective Field Theories
• Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear Sigma Model
• Three Applications of a Bonus Relation for Gravity Amplitudes
• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• New Formulas for Amplitudes from Higher-Dimensional Operators
• Conformal Gravity from Gauge Theory
• Gravitons, Bose-symmetry, and Bonus-scaling