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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

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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    Nonlocal-in-time conservative tail contributions to gravitational scattering are derived at 5PM and 10SF orders, expressed via polylogarithms up to weight three and agreeing with prior results through 6PN.

  2. The gravitational Compton amplitude at third post-Minkowskian order

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    Gravitational Compton amplitude computed to third post-Minkowskian order via worldline EFT with infrared and forward divergences regulated to connect to black hole perturbation theory.

  3. N-body next-to-leading order gravitational spin-orbit interaction via effective field theory

    gr-qc 2026-05 conditional novelty 6.0 of 10

    The NLO gravitational spin-orbit Hamiltonian for N spinning bodies is computed via PN-EFT, with only three-body diagrams new beyond the binary case, and the result matches the known ADM Hamiltonian up to canonical tra...

  4. All-order structure of static gravitational interactions and the seventh post-Newtonian potential

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    A closed formula computes static post-Newtonian corrections at arbitrary odd orders in gravity, yielding the explicit seventh post-Newtonian potential that matches an independent diagrammatic method.

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