Love beyond Einstein: Metric reconstruction and Love number in quadratic gravity using WEFT
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915634236882944 |
|---|---|
| author | Bhattacharyya, Arpan Ghosh, Saptaswa Kumar, Naman Kumar, Shailesh Pal, Sounak |
| author_facet | Bhattacharyya, Arpan Ghosh, Saptaswa Kumar, Naman Kumar, Shailesh Pal, Sounak |
| contents | We study tidal Love numbers of static black holes in four-dimensional quadratic theory of gravity, extending the result of GR. We use worldline effective field theory (WEFT) methods to compute metric perturbations from one-point functions, treating the higher-derivative terms perturbatively. We show that insertions of scalar fields on the worldline induce non-zero tidal tails, and the corresponding Love number displays no RG running. The same conclusion holds for the insertions of tensor fields. Furthermore, for scalar dipole perturbations, we derive a Yukawa-deformed Frobenius solution and match the asymptotic behavior to fix the UV charge, finding agreement with EFT predictions of Wilson coefficients. Our work demonstrates that quadratic higher-curvature corrections induce non-zero but scale-independent tidal responses, offering a robust EFT framework to test deviations from GR in gravitational wave observations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Love beyond Einstein: Metric reconstruction and Love number in quadratic gravity using WEFT Bhattacharyya, Arpan Ghosh, Saptaswa Kumar, Naman Kumar, Shailesh Pal, Sounak High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We study tidal Love numbers of static black holes in four-dimensional quadratic theory of gravity, extending the result of GR. We use worldline effective field theory (WEFT) methods to compute metric perturbations from one-point functions, treating the higher-derivative terms perturbatively. We show that insertions of scalar fields on the worldline induce non-zero tidal tails, and the corresponding Love number displays no RG running. The same conclusion holds for the insertions of tensor fields. Furthermore, for scalar dipole perturbations, we derive a Yukawa-deformed Frobenius solution and match the asymptotic behavior to fix the UV charge, finding agreement with EFT predictions of Wilson coefficients. Our work demonstrates that quadratic higher-curvature corrections induce non-zero but scale-independent tidal responses, offering a robust EFT framework to test deviations from GR in gravitational wave observations. |
| title | Love beyond Einstein: Metric reconstruction and Love number in quadratic gravity using WEFT |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.02785 |