Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
General Relativity and Quantum Cosmology
2022-07-26 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
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 space dimensions. We also reproduce the previous results including the 4th post-Newtonian order.
Cite
@article{arxiv.1902.11180,
title = {Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses},
author = {J. Blümlein and A. Maier and P. Marquard},
journal= {arXiv preprint arXiv:1902.11180},
year = {2022}
}
Comments
15 pages, 4 figures. Journal version plus corrected typographical errors in formula for master integral M_{72}