# NNNLO gravitational spin-orbit coupling at the quartic order in G.

@article{Levi2020NNNLOGS, title={NNNLO gravitational spin-orbit coupling at the quartic order in G.}, author={Mich{\`e}le Levi and Andrew J. McLeod and Matthew von Hippel}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

In this paper we derive for the first time the NNNLO gravitational spin-orbit coupling at the quartic order in G in the post-Newtonian (PN) approximation. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation, which is carried out within the effective field theory (EFT) of gravitating spinning objects. Our computation makes use of the publicly-available… CONTINUE READING

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