In this note, we analyze black holes solutions under R3 corrections, which is the leading correction induced by quantum corrections in four-dimensions. We showed that perturbations around this black hole background will lead to non-zero tidal Love number (TLN). This further accentuates the \unnaturalness" of the vanishing TLN for Schwarzschild black hole under Einstein-Hilbert action.
@article{arxiv.1906.06850,
title = {Non-vanishing of tidal Love numbers},
author = {Shengsheng Cai and Kai-Der Wang},
journal= {arXiv preprint arXiv:1906.06850},
year = {2019}
}