Spin Dependent Gravitational Tail Memory in $D=4$

Abstract

We derive the leading spin-dependent gravitational tail memory, which appears at the second post-Minkowskian (2 PM) order and behaves as $u^{-2}$ for large retarded time $u$. This result follows from classical soft graviton theorem at order $\omega \ln \omega$ as a low-frequency expansion of gravitational waveform with frequency $\omega$. First, we conjecture the result from the classical limit of quantum soft graviton theorem up to sub-subleading order in soft expansion and then we derive it for a classical scattering process without any reference to the soft graviton theorem. The final result of the gravitational waveform in the direct derivation completely agrees with the conjectured result.

arXiv comment42 pages, 2 figures. The discrepancy between conjectured result and the result of direct derivation has been resolved

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Cited by in corpus (6)

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• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
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