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PreprintCC BY 4.0arXiv

Inverse design of scalar-tensor EFT from odd-parity effective potentials

  • Kazufumi Takahashi
  • Yuki Watanabe
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Abstract

We develop an inverse-design approach to the effective field theory (EFT) of perturbations in scalar-tensor gravity around static and spherically symmetric backgrounds with a timelike scalar-field gradient, taking the odd-parity effective potential as input and reconstructing compatible background and EFT data. As analytically tractable examples, we construct explicit realizations of the Pöschl-Teller potential, for which the quasinormal-mode spectrum can be obtained in closed form. We then study the Regge-Wheeler potential of general relativity and its parametrized deformations, showing how both can be realized within the scalar-tensor EFT. In particular, the latter realizations provide a route to interpreting phenomenological constraints on potential deformations from black hole ringdown observations in terms of the underlying EFT data.

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Cite

BibTeXRIS
BibTeX
@misc{takahashi2026inverse,
  title = {{Inverse design of scalar-tensor EFT from odd-parity effective potentials}},
  author = {Kazufumi Takahashi and Yuki Watanabe},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37915},
  eprint = {2610.37915},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37915},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Inverse design of scalar-tensor EFT from odd-parity effective potentials
AU  - Kazufumi Takahashi
AU  - Yuki Watanabe
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37915
UR  - https://arxiv.org/abs/2610.37915
AB  - We develop an inverse-design approach to the effective field theory (EFT) of perturbations in scalar-tensor gravity around static and spherically symmetric backgrounds with a timelike scalar-field gradient, taking the odd-parity effective potential as input and reconstructing compatible background and EFT data. As analytically tractable examples, we construct explicit realizations of the Pöschl-Teller potential, for which the quasinormal-mode spectrum can be obtained in closed form. We then study the Regge-Wheeler potential of general relativity and its parametrized deformations, showing how both can be realized within the scalar-tensor EFT. In particular, the latter realizations provide a route to interpreting phenomenological constraints on potential deformations from black hole ringdown observations in terms of the underlying EFT data.
ER  -