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Gravitational Wave Scattering via the Born Series: Scalar Tidal Matching to $\mathcal{O}(G^7)$ and Beyond
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abstract
We introduce a novel method to compute gravitational wave amplitudes within the framework of effective field theory. By reinterpreting the Feynman diagram expansion as a Born series, our method offers several key advantages. It directly yields partial wave amplitudes, streamlining the matching with black hole perturbation theory. Long-distance gravitational interactions are unambiguously factorized from short-distance tidal effects, including dissipation, which are systematically incorporated via an in-in worldline effective action. Crucially, at every order in perturbation theory, integrals are expressed in terms of harmonic polylogarithms, enabling an end-to-end computation scalable to arbitrary orders. We illustrate the method with new predictions for scalar black hole Love numbers and their Renormalization Group equations to $\mathcal{O}(G^7)$.
Forward citations
Cited by 6 Pith papers
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