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We compute a subset of three, velocity-independent four-loop (and fourth post-Newtonian) contributions to the harmonic-coordinates effective action of a gravitationally interacting system of two point-masses.
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L. Blanchet, T. Damour, and G. Esposito-Farèse, “Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates,” Phys. Rev. D 69
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