{"paper":{"title":"QCD condensates and $\\alpha_s$ from $\\tau$-decay: Summary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-lat"],"primary_cat":"hep-ph","authors_text":"Fr), iHEPMAD (Univ. Antananarivo, LUPM (CNRS, MG), S. Narison, Univ. Montpellier","submitted_at":"2025-01-14T18:24:21Z","abstract_excerpt":"In this talk, I summarize the recent determinations in Ref.[1] of the QCD condensates and $\\alpha_s$ within the SVZ expansion using the ratio of Laplace sum rule (LSR) ${\\cal R}_{10}^A(\\tau)$ and $\\tau$-like moments ${\\cal R}_{n,A},\\, {\\cal R}_{n,V-A}$within stability criteria in the axial-vector (A) and V-A channels of the $\\tau$- semi-hadronic decays. The factorization of the four-quark condensate is violated by a factor 6 like in the case of the $e^+e^-\\to$ Hadrons data. There is no exponential growth of the size of higher dimension condensates which does not favour (by duality) a significa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08369","kind":"arxiv","version":2},"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/2501.08369/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"}