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Related papers: Extraction of K-->pipi Matrix Elements with Wilson…

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We report a direct lattice calculation of the $K$ to $\pi\pi$ decay matrix elements for both $\Delta I=1/2$ and $3/2$ channels on 2+1 flavor, domain wall fermion, $16^3\times32$ lattices with zero $\pi\pi$ relative momentum and $m_\pi=420$…

High Energy Physics - Lattice · Physics 2011-02-18 Qi Liu , RBC , UKQCD collaborations

Delta I=3/2, K to Pi Pi matrix elements are calculated on 68 configurations of quenched 24^3 x 64 lattices using the DBW2 action, and domain wall fermions with L_s=16. The lattice spacing is a^(-1)=1.3 GeV, corresponding to a physical…

High Energy Physics - Lattice · Physics 2010-03-18 Matthew Lightman , Elaine Goode

We present a lattice calculation of the $K\to\pi$ and $K\to 0$ matrix elements of the $\Delta S=1$ effective weak Hamiltonian which can be used to determine $\epsilon^\prime/\epsilon$ and the $\Delta I=1/2$ rule for $K$ decays in the…

High Energy Physics - Lattice · Physics 2009-10-31 T. Blum

We present a numerical computation of matrix elements of DI=3/2 K-->pi pi decays by using Wilson fermions. In order to extrapolate to the physical point we work at unphysical kinematics and we resort to Chiral Perturbation Theory at the…

High Energy Physics - Lattice · Physics 2010-03-19 Ph. Boucaud , V. Gimenez , C. -J. D. Lin , V. Lubicz , G. Martinelli , M. Papinutto , C. T. Sachrajda

We present results of several numerical studies with Wilson fermions relevant for kaon physics. We compute the B_K parameter by using two different methods and extrapolate to the continuum limit. Our preliminary result is B_K(2…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , Ph. Boucaud , V. Gimenez , C. -J. D. Lin , V. Lubicz , G. Martinelli , M. Papinutto , C. T. Sachrajda

We test the recent proposal of using the Ward identities to compute the K0-K0bar mixing amplitude with Wilson fermions, without the problem of spurious lattice subtractions. From our simulations, we observe no difference between the results…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , Ph. Boucaud , V. Gimenez , V. Lubicz , G. Martinelli , M. Papinutto

We study the renormalization of the DeltaS=1 effective weak Hamiltonian with overlap fermions. The mixing coefficients among dimension-six operators are computed at one loop in perturbation theory. As a consequence of the chiral symmetry at…

High Energy Physics - Lattice · Physics 2009-10-31 S. Capitani , L. Giusti

K to pi pi matrix elements of the electroweak operator Q_(27,1)^Delta I=3/2 are calculated on the RBC/UKQCD 32^3 x 64, L_s=16 lattices, using 2+1 dynamical flavors and domain wall fermions, with an inverse lattice spacing of a^(-1)=2.42(4)…

High Energy Physics - Lattice · Physics 2019-08-14 Matthew Lightman

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We present results of a lattice simulation of quantum chromodynamics with two degenerate flavors of dynamic Wilson fermions at $6/g^2=5.3$ at each of two dynamical fermion hopping parameters, $\kappa=0.1670$ and 0.1675, corresponding to…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar

We present a new method for determining K --> pi pi matrix elements from lattice simulations that is less costly than direct simulations of K --> pi pi at physical kinematics. It improves, however, upon the traditional "indirect'' approach…

High Energy Physics - Lattice · Physics 2011-07-13 Jack Laiho , Ruth S. Van de Water

We report a direct lattice calculation of the $K$ to $\pi\pi$ decay matrix elements for both the $\Delta I=1/2$ and 3/2 amplitudes $A_0$ and $A_2$ on 2+1 flavor, domain wall fermion, $16^3\times32\times16$ lattices. This is a complete…

High Energy Physics - Lattice · Physics 2011-12-23 T. Blum , P. A. Boyle , N. H. Christ , N. Garron , E. Goode , T. Izubuchi , C. Lehner , Q. Liu , R. D. Mawhinney , C. T. Sachrajda , A. Soni , C. Sturm , H. Yin , R. Zhou

We present our result for the $K\to\pi\pi$ decay amplitudes for both the $\Delta I=1/2$ and $3/2$ processes with the improved Wilson fermion action. In order to realize the physical kinematics, where the pions in the final state have finite…

High Energy Physics - Lattice · Physics 2018-12-26 N. Ishizuka , K. -I. Ishikawa , A. Ukawa , T. Yoshié

The use of chiral perturbation theory in extracting physical K to pi pi matrix elements from matrix elements calculated at unphysical kinematics is outlined. In particular, the possibility of utilizing pions with non-zero momentum in the…

High Energy Physics - Lattice · Physics 2008-11-26 Matthew Lightman

We present a lattice calculation of the $K\to\pi\pi$ matrix elements and amplitudes with both the $\Delta I = 3/2$ and 1/2 channels and $\varepsilon'$, the measure of direct $CP$ violation. We use periodic boundary conditions (PBC), where…

This talk presents results of weak matrix elements calculated from simulations done on 170 $32^3 \times 64$ lattices at $\beta = 6.0$ using quenched Wilson fermions. We discuss the extraction of pseudoscalar decay constants $f_\pi$, $f_K$,…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta , Tanmoy Bhattacharya

We present our result for the $K\to\pi\pi$ decay amplitudes for both the $\Delta I=1/2$ and $3/2$ processes with the improved Wilson fermion action. Expanding on the earlier works by Bernard {\it et al.} and by Donini {\it et al.}, we show…

High Energy Physics - Lattice · Physics 2015-10-14 N. Ishizuka , K. -I. Ishikawa , A. Ukawa , T. Yoshié

Moments of generalised parton distributions can be related to off-forward matrix elements of local operators. We calculate a few of the leading twist matrix elements for the pion on the lattice. The simulations are performed using two…

High Energy Physics - Lattice · Physics 2008-11-26 D. Brömmel , M. Diehl , M. Göckeler , Ph. Hägler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , J. M. Zanotti

This thesis presents the setup and results of numerical calculation of hadronic matrix elements of Delta S=1 weak operators, with the aim of studying the Delta I=1/2 rule and direct CP violation. Such study provides a useful comparison of…

High Energy Physics - Lattice · Physics 2007-05-23 D. Pekurovsky

$K \to \pi$ and $K \to 0$ weak matrix elements of $\Delta S = 1$ 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…

High Energy Physics - Lattice · Physics 2009-04-14 Shu Li , Robert D. Mawhinney for RBC , UKQCD Collaborations
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