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

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arxiv 1902.11180 v2 pith:V26IY5WN submitted 2019-02-28 gr-qc hep-phhep-th

J. Blümlein , A. Maier , P. Marquard This is my paper · ORCID
classification gr-qchep-phhep-th
keywords contributioneffectivefive-loopgravitationalinteractionmassespointpost-newtonian
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $d = 3 - 2\varepsilon$ space dimensions. We also reproduce the previous results including the 4th post-Newtonian order.

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Cited by 1 Pith paper

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  1. Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders

    hep-th 2025-06 conditional novelty 7.0 of 10

    The authors isolate the nonlocal tail part of the 5PM/1SF scattering angle and reconstruct a local-in-time Hamiltonian for generic bound orbits.

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