{"paper":{"title":"A Systematic Expansion of Running Couplings and Masses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"D.G.C. McKeon, F.A. Chishtie, T.N. Sherry","submitted_at":"2018-06-07T07:04:37Z","abstract_excerpt":"As an alternative to directly integrating their defining equations to find the running coupling $a(\\mu)$ and the running mass $m(\\mu)$, we expand these quantities in powers of $\\ln\\left(\\frac{\\mu}{\\mu^\\prime}\\right)$ and their boundary values $a(\\mu^\\prime)$ and $m(\\mu^\\prime)$. Renormalization group summation is used to partially sum these logarithms. We consider this approach using both the $\\overline{MS}$ and 't Hooft renormalization schemes. We also show how the couplings and masses in any two mass independent renormalization schemes are related."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02534","kind":"arxiv","version":4},"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"}