Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case

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dc.creatorBlum, T.
dc.creatorChen, P.
dc.creatorChrist, N.
dc.creatorCristian, C.
dc.creatorDawson, C.
dc.creatorFleming, G.
dc.creatorMawhinney, R.
dc.creatorOhta, S.
dc.creatorSiegert, G.
dc.creatorSoni, A.
dc.creatorVranas, P.
dc.creatorWingate, M.
dc.creatorWu, L.
dc.creatorZhestkov, Y.
dc.creatorCollaboration, RBC
dc.date2001-10-14
dc.date2002-07-19
dc.date.accessioned2026-07-07T10:32:30Z
dc.date.available2026-07-07T10:32:30Z
dc.descriptionWe report the results of a calculation of the K --> pi pi matrix elements relevant for the $\DIhalf$ rule and $\epe$ in quenched lattice QCD using domain wall fermions at a fixed lattice spacing $a^{-1} \sim 2$ GeV. Working in the three-quark effective theory, where only the u, d and s quarks enter and which is known perturbatively to next-to-leading order, we calculate the lattice K --> pi and K --> |0> matrix elements of dimension six, four-fermion operators. Through lowest order chiral perturbation theory these yield K --> pi pi matrix elements, which we then normalize to continuum values through a non-perturbative renormalization technique. For the ratio of isospin amplitudes |A_0|/|A_2| we find a value of $25.3 \pm 1.8$ (statistical error only) compared to the experimental value of 22.2, with individual isospin amplitudes 10-20% below the experimental values. For $\epe$, using known central values for standard model parameters, we calculate $(-4.0 \pm 2.3) \times 10^{-4}$ (statistical error only) compared to the current experimental average of $(17.2 \pm 1.8) \times 10^{-4}$. Because we find a large cancellation between the I = 0 and I = 2 contributions to $\epe$, the result may be very sensitive to the approximations employed. Among these are the use of: quenched QCD, lowest order chiral perturbation theory and continuum perturbation theory below 1.3 GeV. We have also calculated the kaon B parameter, B_K and find $B_{K,\bar{MS}}(2 {\rm GeV}) = 0.532(11)$. Although currently unable to give a reliable systematic error, we have control over statistical errors and more simulations will yield information about the effects of the approximations on this first-principles determination of these important quantities.
dc.description158 pages, 51 tables, 41 figures. No numerical data or results changed in this revision, except for an improved analysis of B_K. Many improvements and modifications to the text and explanations. Table XLVII changed to include improved values for B_K. Submitted to Physical Review D
dc.identifierhttps://arxiv.org/abs/hep-lat/0110075
dc.identifierhttp://arxiv.org/abs/hep-lat/0110075
dc.identifierPhys.Rev.D68:114506,2003
dc.identifierdoi:10.1103/PhysRevD.68.114506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178775
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleKaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
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