Gravitational Sommerfeld Effects: Framework and Applications
par
Amphithéâtre Léon Motchane
IHES
Séminaire Amplitudes et Gravitation sur l'Yvette (IHES/IPhT)
Sommerfeld effects describe long-distance corrections to radiation emitted by a short-distance source. They play an important role in atomic physics and dark matter phenomenology, but the same mechanism also arises in gravitational-wave radiation from compact binaries. In this talk, I will develop a systematic framework for gravitational Sommerfeld effects by combining worldline effective field theory with black hole perturbation theory. A key advantage of this framework is that it organizes high-order perturbative calculations without requiring any nontrivial loop integration, allowing us to compute the waveform to tenth order in the perturbative expansion and beyond. The formulation also reveals an exact connection between the radiation waveform and Compton scattering, as well as the underlying structures of the classical renormalization group of the multipoles and tidal Love numbers. I will conclude by discussing how these results can be incorporated into waveform resummation models for gravitational-wave signals. This talk is based on arXiv:2604.14112 with Chih-Hao Chang and Zihan Zhou, and work in progress.
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