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Related papers: Re $A_0$ and Re $A_2$ from Quenched Lattice QCD

200 papers

We explore the possibility for an evaluation of non-leptonic $\Delta S=1$ $K$ decay amplitudes through the calculation of $K\to\pi$ matrix elements using domain-wall QCD. The relation between the physical $K\to\pi\pi$ matrix elements and…

We explore application of the domain wall fermion formalism of lattice QCD to calculate the $K\to\pi\pi$ decay amplitudes in terms of the $K\to\pi$ and $K\to 0$ hadronic matrix elements through relations derived in chiral perturbation…

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 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…

High Energy Physics - Lattice · Physics 2008-11-26 D. Pekurovsky , G. Kilcup

We present a calculation of the standard model \Delta S=2 matrix element relevant to indirect CP violation in K->\pi\pi decays which uses Neuberger's chiral formulation of lattice fermions. The computation is performed in the quenched…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nicolas Garron , Leonardo Giusti , Christian Hoelbling , Laurent Lellouch , Claudio Rebbi

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

We present a calculation of the $K\to\pi\pi$ decay amplitudes from the $K\to\pi$ matrix elements using leading order relations derived in chiral perturbation theory. Numerical simulations are carried out in quenched QCD with the domain-wall…

We are using domain wall fermions to study $K \to \pi \pi$ matrix elements by measuring $K \to \pi$ and $K \to 0$ matrix elements on the lattice and employing chiral perturbation theory to relate these to the desired physical result. The…

High Energy Physics - Lattice · Physics 2009-10-31 Robert D. Mawhinney

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

Quenched QCD simulations on three volumes, $8^3 \times$, $12^3 \times$ and $16^3 \times 32$ and three couplings, $\beta=5.7$, 5.85 and 6.0 using domain wall fermions provide a consistent picture of quenched QCD. We demonstrate that the…

We 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…

High Energy Physics - Lattice · Physics 2008-11-26 T. Blum , P. Chen , N. Christ , C. Cristian , C. Dawson , G. Fleming , R. Mawhinney , S. Ohta , G. Siegert , A. Soni , P. Vranas , M. Wingate , L. Wu , Y. Zhestkov , RBC Collaboration

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

We present an exploratory calculation of the standard model Delta S=2 matrix element relevant for indirect CP violation in K -> pi pi decays. The computation is performed with overlap fermions in the quenched approximation at beta=6.0 on a…

High Energy Physics - Lattice · Physics 2015-06-25 N. Garron , L. Giusti , C. Hoelbling , L. Lellouch , C. Rebbi

We calculate results for K to pi and K to 0 matrix elements to next-to-leading order in 2+1 flavor partially quenched chiral perturbation theory. Results are presented for both the Delta I=1/2 and 3/2 channels, for chiral operators…

High Energy Physics - Lattice · Physics 2009-02-23 C. Aubin , J. Laiho , S. Li , M. F. Lin

We present a lattice QCD calculation of the $\Delta I=1/2$, $K\to\pi\pi$ decay amplitude $A_0$ and $\varepsilon'$, the measure of direct CP-violation in $K\to\pi\pi$ decay, improving our 2015 calculation of these quantities. Both…

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

We show that the application of twisted mass QCD (tmQCD) with four (Wilson) quark flavours to the computation of lattice weak matrix elements relevant to $\Delta I=1/2$ transitions has important advantages: the renormalisation of $K \to…

High Energy Physics - Lattice · Physics 2009-11-07 C. Pena , S. Sint , A. Vladikas

We calculate the logarithmic corrections to the matrix elements for $K^+\to\pi^+$ and $K\to$vacuum (which are used on the lattice to determine $K\to\pi\pi$ amplitudes), in one-loop quenched and unquenched Chiral Perturbation Theory. We find…

High Energy Physics - Lattice · Physics 2015-06-25 Maarten Golterman , Elisabetta Pallante

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

The domain wall fermion formulation exhibits full chiral symmetry for finite lattice spacing except for the effects of mixing between the domain walls. Close to the continuum limit these symmetry breaking effects should be described by a…

High Energy Physics - Lattice · Physics 2016-09-01 Lingling Wu
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