{"paper":{"title":"Enhancement of the $K_L$ -- $K_S$ Mass Difference by Short Distance QCD Corrections Beyond Leading Logarithms","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"S. Herrlich, U. Nierste","submitted_at":"1993-10-19T14:30:05Z","abstract_excerpt":"We calculate the next-to-leading order short distance QCD corrections to the coefficient $\\eta_1$ of the effective $\\Delta S = 2$ hamiltonian in the standard model. This part dominates the short distance contribution $(\\Delta m_K)^{\\rm SD}$ to the $K_L$ -- $K_S$ mass difference. The next-to-leading order result enhances $\\eta_1$ and $(\\Delta m_K)^{\\rm SD}$ by 20\\% compared to the leading order estimate. Taking $0.200 \\gev \\le \\laMSb \\le 0.350 \\gev$ and $1.35 \\gev \\le m_c(m_c) \\le 1.45 \\gev$ we obtain $0.922 \\le \\eta_1^{\\rm NLO} \\le 1.419$ compared to $0.834 \\le \\eta_1^{\\rm LO} \\le 1.138$. For "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9310311","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/9310311/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"}