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

Authors:
Open Access
Publisher website
Google Scholar
Abstract
A bstract: 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.
Funding Information
  • Government of India (1702711)
  • Government of India (1703278)
  • ANRF (formerly SERB), Department of Science and Technology (DST), Government of India (PDF/2023/000369)
  • DST-ANRF of India Govt. (CRG/2023/005112)

This publication has 71 references indexed in Scilit: