1998/12/31 by D. Pekurovsky, Dmitry Pekurovsky, G. Kilcup +1 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1103/physrevd.64.074502
published as Phys.Rev.D64:074502,2001 · 40 pages, 17 figures, LATEX with epsf, to be submitted to Phys. Rev. D. Minor errors are corrected, some wording and notation changed
arxiv created 1999/01/21 · openalex publication_date 2001/09/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We perform a study of matrix elements relevant for the \ensuremathΔI=1/2 rule and the direct CP violation parameter \ensuremathε^\ensuremath'/\ensuremathε from first principles by computer simulation in lattice QCD. We use staggered (Kogut-Susskind) fermions, and employ chiral perturbation theory to study K0\ensuremath→\ensuremathπ\ensuremathπ decays. Having obtained a reasonable statistical accuracy, we observe an enhancement of the \ensuremathΔI=1/2 amplitude, consistent with experiment within our large systematic errors. Finite volume and quenching effects have been studied and were found small compared to noise. The estimates of \ensuremathε^\ensuremath'/\ensuremathε are hindered by large uncertainties associated with operator matching. In this paper we explain the simulation method, present the results and address the systematic uncertainties.