Love beyond Einstein: metric reconstruction and love number in quadratic gravity using WEFT

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dc.contributor.author Bhattacharyya, Arpan
dc.contributor.author Ghosh, Saptaswa
dc.contributor.author Kumar, Naman
dc.contributor.author Kumar, Shailesh
dc.contributor.author Pal, Sounak
dc.coverage.spatial United States of America
dc.date.accessioned 2025-08-18T07:09:25Z
dc.date.available 2025-08-18T07:09:25Z
dc.date.issued 2025-08
dc.identifier.citation Bhattacharyya, Arpan; Ghosh, Saptaswa; Kumar, Naman; Kumar, Shailesh and Pal, Sounak, "Love beyond Einstein: metric reconstruction and love number in quadratic gravity using WEFT", arXiv, Cornell University Library, DOI: arXiv:2508.02785, Aug. 2025.
dc.identifier.uri https://doi.org/10.48550/arXiv.2508.02785
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/11752
dc.description.abstract 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.
dc.description.statementofresponsibility by Arpan Bhattacharyya, Saptaswa Ghosh, Naman Kumar, Shailesh Kumar and Sounak Pal
dc.language.iso en_US
dc.publisher Cornell University Library
dc.title Love beyond Einstein: metric reconstruction and love number in quadratic gravity using WEFT
dc.type Article
dc.relation.journal arXiv


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