We demonstrate that a recently proposed classical double-copy procedure to construct the effective action of two massive particles in dilaton-gravity from the analogous problem of two color-charged particles in Yang-Mills gauge theory fails at next-to-next-to-leading order perturbative expansions, i.e., in the third order of the post-Minkowskian and the second order in the post-Newtonian expansions.

• Received 7 August 2019

DOI:https://doi.org/10.1103/PhysRevD.100.086006

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Published by the American Physical Society