{"paper":{"title":"Comment on the Dispersion Relations used to Calculate $\\Delta\\rho$","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Aaron K. Grant, Mihir P. Worah, Tatsu Takeuchi","submitted_at":"1994-03-15T21:32:23Z","abstract_excerpt":"We use the operator product expansion (OPE) to show that non-perturbative QCD corrections to $\\Delta\\rho$ can be calculated using unsubtracted dispersion relations for either the transverse or the longitudinal vacuum polarization functions. Recent calculations of the non-perturbative contribution to $\\Delta\\rho$ based on a non-relativistic calculation of corrections to the $\\ttbar$ threshold are inconsistent with this result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9403294","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":""},"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"}