{"paper":{"title":"Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"J. H. K\\\"uhn, J. Rittinger, K. G. Chetyrkin, P. A. Baikov","submitted_at":"2012-06-06T17:40:51Z","abstract_excerpt":"We present a concise summary of recent results for the vector correlator in massless QCD at order ${\\cal O}(\\alpha_s^4)$, with all colour factors being given for a generic colour group. As a direct consequence we arrive at: (i) the full QCD contribution to the QED $\\beta$--function of order $\\alpha^2\\, \\alpha_s^4$ in the MSbar- and MOM-schemes; (ii) the full five-loop result of order $\\alpha^6$ for the $\\beta$-function of QED with a generic number of single-charged fermions, again for the MSbar- and MOM-schemes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1284","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":""},"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"}