{"paper":{"title":"Amplitude analysis of the $D^+\\to\\pi^- \\pi^+\\pi^+$ decay and measurement of the $\\pi^-\\pi^+$ S-wave amplitude","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ex","authors_text":"LHCb Collaboration","submitted_at":"2022-08-05T17:39:49Z","abstract_excerpt":"An amplitude analysis of the $D^+ \\to \\pi^- \\pi^+ \\pi^+$ decay is performed with a sample corresponding to $1.5\\rm fb^{-1}$ of integrated luminosity of $pp$ collisions at a centre-of-mass energy $\\sqrt{s}=8$ TeV collected by the LHCb detector in 2012. The sample contains approximately six hundred thousand candidates with a signal purity of $95\\%$. The resonant structure is studied through a fit to the Dalitz plot where the $\\pi^- \\pi^+$ S-wave amplitude is extracted as a function of $\\pi^-\\pi^+$ mass, and spin-1 and spin-2 resonances are included coherently through an isobar model. The S-wave "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.03300","kind":"arxiv","version":3},"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/2208.03300/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"}