Matrix elements relevant for Delta I=1/2 rule and epsilon-prime from Lattice QCD with staggered fermions

Abstract

We perform a study of matrix elements relevant for the Delta I=1/2 rule and the direct CP-violation parameter epsilon-prime from first principles by computer simulation in Lattice QCD. We use staggered (Kogut-Susskind) fermions, and employ the chiral perturbation theory method for studying K to 2 Pi decays. Having obtained a reasonable statistical accuracy, we observe an enhancement of the Delta I=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 epsilon-prime 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.

40 pages, 17 figures, LATEX with epsf, to be submitted to Phys. Rev. D. Minor errors are corrected, some wording and notation changed

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Cited by in corpus (19)

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• General CP Violation in Minimal Left-Right Symmetric Model and Constraints on the Right-Handed Scale
• Multichannel one-to-two transition amplitudes in a finite volume
• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• Improved bilinears in lattice QCD with non-degenerate quarks
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• K^0-\bar K^0 mixing beyond the standard model and CP-violating electroweak penguins in quenched QCD with exact chiral symmetry
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• Perturbative matching of staggered four-fermion operators with hypercubic fat links
• On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory
• Lattice extraction of $K\to \pi \pi$ amplitudes to NLO in partially quenched and in full chiral perturbation theory
• K-->pipi amplitudes from lattice QCD with a light charm quark
• Taste symmetry breaking with HYP-smeared staggered fermions
• Testing improved staggered fermions with $m_s$ and $B_K$
• Weak matrix elements for CP violation
• Systematic effects of the quenched approximation on the strong penguin contribution to epsilon'/epsilon
• Direct CP Violation in K-decay and Minimal Left-Right Symmetry Scale
• On-shell Delta I = 3/2 kaon weak matrix elements with non-zero total momentum