Five-loop static contribution to the gravitational interaction potential of two point masses

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=3−2ε space dimensions. We also reproduce the previous results including the 4th post-Newtonian order.