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In this whitepaper, I describe modern applications of effective field theory(EFT) techniques to classical and quantum gravity, with relevance to problemsin astrophysics and cosmology. As in applications of EFT to high-energy,nuclear, or condensed matter physics, the Wilsonian paradigm based ondecoupling of short distance scales via renormalization group evolution remainsa powerful organizing principle in the context of gravity. However, thepresence of spacetime geometry brings in new elements ( non-trivialtime-dependence, cosmological or black hole event horizons) which necessitatethe introduction of novel field theoretic methods not usually encountered inapplications of EFTs to physics at the energy and intensity frontiers. After abrief overview of recent developments in the application of EFT methods togravity, I will focus on the EFT description of compact binary dynamics,including an overview of some of its applications to the experimental programin gravitational wave detection at LIGO/VIRGO and other observatories.

Effective field theories of gravity and compact binary dynamics: A Snowmass 2021 whitepaper