The 6th Post-Newtonian Potential Terms at $O(G_N^4)$

Abstract

We calculate the potential contributions of the Hamiltonian in harmonic coordinates up 6PN for binary mass systems to $O(G_N^4)$ and perform comparisons to recent results in the literature \cite{Bern:2021dqo} and \cite{Bini:2020nsb}.

16 pages Latex

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• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
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• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
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