{"paper":{"title":"$K$ to $\\pi\\pi$ Decay amplitudes from Lattice QCD","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"A. Soni, C. Lehner, C. Sturm, C.T. Sachrajda, E. Goode, H. Yin, N. Garron, N.H. Christ, P.A. Boyle, Q. Liu, R.D. Mawhinney, R. Zhou, T. Blum, T. Izubuchi","submitted_at":"2011-06-14T13:54:58Z","abstract_excerpt":"We report a direct lattice calculation of the $K$ to $\\pi\\pi$ decay matrix elements for both the $\\Delta I=1/2$ and 3/2 amplitudes $A_0$ and $A_2$ on 2+1 flavor, domain wall fermion, $16^3\\times32\\times16$ lattices. This is a complete calculation in which all contractions for the required ten, four-quark operators are evaluated, including the disconnected graphs in which no quark line connects the initial kaon and final two-pion states. These lattice operators are non-perturbatively renormalized using the Rome-Southampton method and the quadratic divergences are studied and removed. This is an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2714","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":""},"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"}