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• W2997121460 abstract "We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of general relativity. The logarithms come from the conservative part of nonlinear gravitational-wave tails and their iterations. Explicit, original expressions are found for conservative dynamics logarithmic tail terms up to 6PN order by adopting both traditional PN calculations and effective field theory methods. We also determine all logarithmic terms at 7PN order, fixing a subleading logarithm from a tail-of-tail-of-tail process by comparison with self-force results. Moreover, we use renormalization group techniques to obtain the leading logarithmic terms to generic power $n$, appearing at $(3n+1)mathrm{PN}$ order, and we resum the infinite series in a closed form. Half-integer PN orders enter the conservative dynamics starting at 5.5PN, but they do not generate logarithmic contributions up to next-to-next-to-leading order included. We nevertheless present their contribution at leading order in the small mass ratio limit." @default.
• W2997121460 created "2020-01-10" @default.
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• W2997121460 date "2020-04-22" @default.
• W2997121460 modified "2023-10-16" @default.
• W2997121460 title "Logarithmic tail contributions to the energy function of circular compact binaries" @default.
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• W2997121460 doi "https://doi.org/10.1103/physrevd.101.084045" @default.
• W2997121460 hasPublicationYear "2020" @default.
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