{"paper":{"title":"Preliminary results of $\\Delta I=1/2$ and $3/2$, $K$ to $\\pi\\pi$ Decay Amplitudes from Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Qi Liu, RBC, UKQCD Collaborations","submitted_at":"2010-10-19T01:06:17Z","abstract_excerpt":"We report a direct lattice calculation of the $K$ to $\\pi\\pi$ decay matrix elements for both $\\Delta I=1/2$ and $3/2$ channels on 2+1 flavor, domain wall fermion, $16^3\\times32$ lattices with zero $\\pi\\pi$ relative momentum and $m_\\pi=420$ MeV. All $K^0$ to $\\pi\\pi$ contractions are carefully listed and calculated. The decay into the isospin zero $\\pi\\pi$ final state, which receives contributions from the disconnected graphs, is very difficult to calculate, but a clear signal in the similar disconnected $\\pi\\pi$ correlator can be seen. Preliminary results, some with large errors, will be prese"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3768","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"}