Kaon Weak Matrix Elements in 2+1 flavor DWF QCD

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dc.creatorLi, Shu
dc.creatorRBC, Robert D. Mawhinney for
dc.creatorCollaborations, UKQCD
dc.date2007-10-17
dc.date.accessioned2026-07-07T13:02:53Z
dc.date.available2026-07-07T13:02:53Z
dc.description$K \to π$ and $K \to 0$ weak matrix elements of $ΔS = 1$ operators have been measured in 2+1 flavor domain wall fermion (DWF) QCD on (3 fm)$^3$ lattices with $a^{-1} = 1.73(3)$ GeV. As is well known, using these matrix elements and chiral perturbation theory allows a determination of the $K \to ππ$ matrix elements that enter in the quantitative value for the $ΔI = 1/2$ rule and $ε^\prime/ε$. Two light dynamical sea quark masses have been used, along with six valence quark masses, with the lightest valence quark mass $\approx 1/10$ the physical strange quark mass. We report our results for lattice matrix elements in the $SU(3)_L \times SU(3)_R$ (27,1), (8,1), and (8,8) representations, paying particular attention to the statistical errors achieved after measurements on 75 configurations. We also report on our calculation of the non-perturbative renormalization coefficients for these $ΔS=1$ weak operators, using the Rome-Southampton method.
dc.description14 pages, 10 figures, joint proceedings for talks presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
dc.identifierhttps://arxiv.org/abs/0710.3414
dc.identifierhttp://arxiv.org/abs/0710.3414
dc.identifierPoSLAT2007:359,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226606
dc.subjectHigh Energy Physics - Lattice
dc.titleKaon Weak Matrix Elements in 2+1 flavor DWF QCD
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