Abstract
We apply the classical double copy to the calculation of self-energy of composite systems with multipolar coupling to gravitational field, obtaining next-to-leading order results in the gravitational coupling GN by generalizing color to kinematics replacement rules known in literature. When applied to the multipolar description of the two-body system, the self-energy diagrams studied in this work correspond to tail processes, whose physical interpretation is of radiation being emitted by the non-relativistic source, scattered by the curvature generated by the binary system and then re-absorbed by the same source. These processes contribute to the conservative two-body dynamics and the present work represents a decisive step towards the systematic use of double copy within the multipolar post-Minkowskian expansion.
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ArXiv ePrint: 2008.06195
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Almeida, G.L., Foffa, S. & Sturani, R. Classical gravitational self-energy from double copy. J. High Energ. Phys. 2020, 165 (2020). https://doi.org/10.1007/JHEP11(2020)165
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DOI: https://doi.org/10.1007/JHEP11(2020)165