We consider the momentum-space 3-point correlators of currents, stress tensors and marginal scalar operators in general odd-dimensional conformal field theories. We show that the flat space limit of these correlators is spanned by gauge and gravitational scattering amplitudes in one higher dimension which are related by a double copy. Moreover, we recast three-dimensional CFT correlators in terms of tree-level Feynman diagrams without energy conservation, suggesting double copy structure beyond the flat space limit.
Farrow, J. A., Lipstein, A. E., & McFadden, P. (2019). Double copy structure of CFT correlators. Journal of High Energy Physics, 2019(02), Article 130. https://doi.org/10.1007/jhep02%282019%29130