{"paper":{"title":"Non-Abelian Dipole Radiation and the Heavy Quark Expansion","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andrzej Czarnecki, Kirill Melnikov, Nikolaj Uraltsev","submitted_at":"1997-08-15T18:58:41Z","abstract_excerpt":"Dipole radiation in QCD is derived to the second order in $\\alpha_s$. A power-like evolution of the spin-singlet heavy quark operators is obtained to the same accuracy. In particular, ${\\cal O}(\\alpha_s^2)$ relation between a short-distance low-scale running heavy quark mass and the $\\barMS$ mass is given. We discuss the properties of the effective QCD coupling $\\aw(E)$ which governs the dipole radiation. This coupling is advantageous for heavy quark physics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9708372","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9708372/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"}