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

## TL;DR

This paper calculates the static gravitational potential between two point masses at five-loop order, advancing the precision of post-Newtonian approximations using effective field theory and Feynman diagrams.

## Contribution

It provides the first five-loop (5th post-Newtonian) static contribution to the gravitational potential using a direct effective field theory approach.

## Key findings

- Computed the five-loop static gravitational potential.
- Reproduced previous 4th post-Newtonian results.
- Enhanced the accuracy of gravitational interaction models.

## 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.