Bhattacharyya, ArpanArpanBhattacharyyaGhosh, SaptaswaSaptaswaGhoshKumar, NamanNamanKumarKumar, ShaileshShaileshKumarPal, SounakSounakPal2025-12-102025-12-102025-11-0110.1007/JHEP11(2025)1552-s2.0-105023287717http://repository.iitgn.ac.in/handle/IITG2025/33610We 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.trueBlack Holes | Classical Theories of Gravity | Effective Field TheoriesArticlehttps://link.springer.com/content/pdf/10.1007/JHEP11(2025)155.pdf10298479November 202501550