Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses

preprint2022arXivOpen access

Abstract

We compute the static contribution to the gravitational interaction potential of two point masses in the velocity-independent five-loop (and 5th post-Newtonian) approximation to the harmonic coordinates effective action in a direct calculation. The computation is performed using effective field methods based on Feynman diagrams in momentum-space in d=3−2εd = 3 - 2\varepsilon space dimensions. We also reproduce the previous results including the 4th post-Newtonian order.

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