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We complete the derivation of the conservative dynamics of binary systems to fourth Post-Newtonian (4PN) order in the effective field theory (EFT) approach.
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V. Vaidya, “Gravitational spin Hamiltonians from the S matrix,” Phys. Rev
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A. Ross, “Multipole Expansion at the Level of the Action,” Phys. Rev. D
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B. Kol and M. Smolkin, “Black Hole Stereotyping: Induced Gravito-Static Polarization,” JHEP
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R. A. Porto, “Lamb Shift and the Gravitational Binding Energy for Binary Black Holes,” Phys. Rev. D
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