{"paper":{"title":"Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"One-loop soft amplitudes extract the conservative two-body dynamics of charged black holes in EMD theory after IR subtraction.","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Ankit Mishra, Arpan Bhattacharyya, Saptaswa Ghosh, Sounak Pal","submitted_at":"2025-10-08T18:00:06Z","abstract_excerpt":"We study classical scattering of charged black holes in Einstein-Maxwell-Dilaton (EMD) theory. Working in the classical (Post-Minkowskian) regime, we extract the conservative two-body potential by expanding the one loop amplitudes in the soft regime. We show explicitly that, as in GR, the relevant soft amplitudes are infrared (IR) finite once the long-range interactions are consistently treated via Lippmann-Schwinger equation and the associated IR subtraction. The scattering angle is then obtained from the eikonal exponentiation of the soft amplitude. Our results track the separate roles of el"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show explicitly that, as in GR, the relevant soft amplitudes are infrared (IR) finite once the long-range interactions are consistently treated via Lippmann-Schwinger equation and the associated IR subtraction. The scattering angle is then obtained from the eikonal exponentiation of the soft amplitude.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the soft expansion of one-loop amplitudes in EMD theory fully captures the classical conservative two-body dynamics at the order considered, without contamination from radiation or higher-loop effects that would require additional subtractions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"One-loop soft amplitudes extract the conservative two-body dynamics of charged black holes in EMD theory after IR subtraction.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"67d93c5f889bd63603215a975b2634a342c251c808a554b0db37b526f00d309f"},"source":{"id":"2510.07390","kind":"arxiv","version":3},"verdict":{"id":"a5952665-7579-4ac9-9c5a-fb7431797c4e","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T09:15:10.592581Z","strongest_claim":"We show explicitly that, as in GR, the relevant soft amplitudes are infrared (IR) finite once the long-range interactions are consistently treated via Lippmann-Schwinger equation and the associated IR subtraction. The scattering angle is then obtained from the eikonal exponentiation of the soft amplitude.","one_line_summary":"Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the soft expansion of one-loop amplitudes in EMD theory fully captures the classical conservative two-body dynamics at the order considered, without contamination from radiation or higher-loop effects that would require additional subtractions.","pith_extraction_headline":"One-loop soft amplitudes extract the conservative two-body dynamics of charged black holes in EMD theory after IR subtraction."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.07390/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":147,"sample":[{"doi":"","year":2020,"title":"P¨ urrer and C.-J","work_id":"c554b94c-6642-4922-a027-6a0c975066b0","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1965,"title":"Weinberg,Photons and Gravitons in Perturbation Theory: Derivation of Maxwell’s and Einstein’s Equations, Phys","work_id":"d6686106-1974-4aa6-9756-1826f2a985ee","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1992,"title":"T. Damour and G. Esposito-Farese,Tensor multiscalar theories of gravitation, Class. Quant. Grav.9(1992) 2093–2176","work_id":"afd3be64-ca70-4400-8ebc-7ff194710a33","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"Tensor-multi-scalar theories: relativistic stars and 3+1 decomposition","work_id":"4a806fef-c8db-459f-ae7c-a964cebecf1a","ref_index":4,"cited_arxiv_id":"1505.07462","is_internal_anchor":true},{"doi":"","year":2022,"title":"Sch¨ on and D","work_id":"42e0c15e-5dc4-4db5-b822-6ce35da55412","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":147,"snapshot_sha256":"549225b710f64889579c1eb65dc9d3e495cf949eb6ff9d36f09840628ebe32c1","internal_anchors":46},"formal_canon":{"evidence_count":2,"snapshot_sha256":"1cbab208e66547b08f28367113b7902e76e9d4e4b3f54dcf837574ef565189d3"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}