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We use improved staggered valence and sea fermions, the latter generated by the MILC collaboration with $N_f=2+1$ light flavors. To control discretization errors, we use four different lattice spacings ranging down to $a\\approx 0.045\\;$fm. The chiral and continuum extrapolations are done using SU(2) staggered chiral perturbation theory. Our final result is $\\hat{B}_K = 0.727 \\pm 0.004 (\\text{stat}) \\pm 0.038 (\\text{sys})$, where the dominant systematic error is from our use of truncated (one-loop) matching factors."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1111.5698","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-11-24T09:05:57Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"1559e40035edae628ca5ea3ad48ef587ed8945f52740392a1608db744ae4f64c","abstract_canon_sha256":"bc0ed51f87e5d6ec0a73c10f03e03c9c9e1b2ca6020ed75eca9502e203a3d899"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:54.652262Z","signature_b64":"zZpw5wZoBYtaNuZRaDeTMmQCI1R4psGcgRVC5kh0/gWijVg854yXAdKnn6mju6W3FlUW+8Hwu5kFkVWsbVSwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59db6195088078a8ff6945c000c003e07eb2cdca21148d34a02d82df6262be9e","last_reissued_at":"2026-05-18T03:22:54.651425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:54.651425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kaon $B$-parameter from improved staggered fermions in $N_f=2+1$ QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-lat","authors_text":"Boram Yoon, Chulwoo Jung, Hyung-Jin Kim, Jangho Kim, Jongjeong Kim, Kwangwoo Kim, Stephen R. Sharpe, Sunghee Kim, SWME Collaboration, Taegil Bae, Weonjong Lee, Yong-Chull Jang","submitted_at":"2011-11-24T09:05:57Z","abstract_excerpt":"We present a calculation of the kaon $B$-parameter, $B_K$, using lattice QCD. We use improved staggered valence and sea fermions, the latter generated by the MILC collaboration with $N_f=2+1$ light flavors. To control discretization errors, we use four different lattice spacings ranging down to $a\\approx 0.045\\;$fm. The chiral and continuum extrapolations are done using SU(2) staggered chiral perturbation theory. 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