{"paper":{"title":"Universal Closed Form for Dynamical Love Numbers of Black Holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Mikhail P. Solon (UCLA)","submitted_at":"2026-06-17T16:58:55Z","abstract_excerpt":"Black hole static Love numbers vanish, but their dynamical counterparts do not. We present the scheme-independent dynamical response $\\bar{F}_{\\ell,s}$ of a Schwarzschild black hole in closed form, to all orders, and for every spin $s$ and multipole $\\ell$. The result is $\\bar{F}_{\\ell,s}/4\\pi R_S^{2\\ell+1}=\\Phi_{\\ell,s}(\\bar{y})-\\tfrac12\\eta\\,\\Phi_{\\ell,s}'(\\bar{y})$ with $\\bar{y}=-\\tfrac12\\eta^2\\tau$ and $\\eta=i\\omega R_S$. Here $\\Phi_{\\ell,s}$ is simply the leading-log solution to the renormalization group equation, but lifting the running logarithm to $\\tau=\\log(R_S/R)-2\\sum_{k\\ge2}\\zeta_k"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19281","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.19281/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}