Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2020)024
Keywords
Effective Field Theories; Scattering Amplitudes; Black Holes
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Funding
- European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant [764850]
- Danish Research Foundation [DNRF91]
- Carlsberg Foundation
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We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor. Such an extension of the action fully describes tidal effects arising from operators involving two powers of the curvature. As an application of this new action, we compute all spinless tidal effects at the leading post-Minkowskian order. This computation is greatly simplified by appealing to the heavy limit, where only a severely constrained set of operators can contribute classically at the one-loop level. Finally, we use this amplitude to derive the O(G(2)) tidal corrections to the Hamiltonian and the scattering angle.
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