{"paper":{"title":"Heavy Quark Vacuum Polarization Function at O(alpha_s^2) and O(alpha_s^3)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andre H. Hoang, S. Mohammad Zebarjad, Vicent Mateu","submitted_at":"2008-07-28T19:48:50Z","abstract_excerpt":"We determine the full mass and $q^2$ dependence of the heavy quark vacuum polarization function $\\Pi(q^2)$ and its contribution to the total $e^+e^-$ cross section at ${\\cal O}(\\alpha_s^2)$ and ${\\cal O}(\\alpha_s^3)$ in perturbative QCD. We use known results for the expansions of $\\Pi(q^2)$ at high energies, in the threshold region and around $q^2=0$, conformal mapping and the Pad\\'e approximation method. From our results for $\\Pi(q^2)$ we determine numerically at ${\\cal O}(\\alpha_s^3)$ the previously unknown non-logarithmic contributions in the high-energy expansion at order $(m^2/q^2)^i$ for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.4173","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/0807.4173/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"}