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@ARTICLE{Riva:599934,
      author       = {Riva, Massimiliano Maria and Santoni, Luca and Savic,
                      Nikola and Vernizzi, Filippo},
      title        = {{V}anishing of {N}onlinear {T}idal {L}ove {N}umbers of
                      {S}chwarzschild {B}lack {H}oles},
      reportid     = {PUBDB-2023-07623, DESY-23-207. arXiv:2312.05065},
      year         = {2024},
      note         = {11 pages, 3 figures},
      abstract     = {It is well known that asymptotically flat Schwarzschild
                      black holes in general relativity in four spacetime di-
                      mensions have vanishing induced linear tidal response. We
                      extend this result beyond linear order for the polar sector,
                      by solving the static nonlinear Einstein equations for the
                      perturbations of the Schwarzschild metric and computing the
                      quadratic corrections to the electric-type tidal Love
                      numbers. After explicitly performing the matching with the
                      point-particle effective theory at leading order in the
                      derivative expansion, we show that the Love number couplings
                      remain zero at higher order in perturbation theory.},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / DFG
                      project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe
                      (390833306) / LHCtoLISA - Precision Gravity: From the LHC to
                      LISA (817791)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306 /
                      G:(EU-Grant)817791},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2312.05065},
      howpublished = {arXiv:2312.05065},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2312.05065;\%\%$},
      doi          = {10.3204/PUBDB-2023-07623},
      url          = {https://bib-pubdb1.desy.de/record/599934},
}