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We report on the progress of our ongoing project to quantify the role of the charm quark in the non-leptonic decay of a kaon into two pions. The effect of its associated mass scale in the dynamics underlying the \Delta I = 1/2 rule can be…

高能物理 - 格点 · 物理学 2012-12-20 Eric Endress , Carlos Pena

We study the dependence on the charm quark mass of the leading-order low-energy constants of the $\Delta S=1$ effective Hamiltonian, with the aim of elucidating the role of the charm mass scale in the $\Delta I=1/2$ rule for $K\to\pi\pi$…

高能物理 - 格点 · 物理学 2016-07-08 Eric Endress , Carlos Pena

We present a strategy designed to separate several possible origins of the well-known enhancement of the Delta{I}=1/2 amplitude in non-leptonic kaon decays. In particular, we seek to disentangle the contribution of physics at the typical…

高能物理 - 格点 · 物理学 2008-11-26 L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig

A recently proposed strategy to quantify the role of the charm quark mass in the $\Delta I=1/2$ rule is reviewed. Results for the low-energy couplings of the $\Delta S=1$ chiral effective Hamiltonian in a theory with a light charm quark…

高能物理 - 格点 · 物理学 2008-11-26 P. Hernandez

We compute the leading-order low-energy constants of the DeltaS=1 effective weak Hamiltonian in the quenched approximation of QCD with up, down, strange, and charm quarks degenerate and light. They are extracted by comparing the predictions…

高能物理 - 唯象学 · 物理学 2008-11-26 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

We present our preliminary results for three-point correlation functions involving the operators entering the $\Delta{S}=1$ effective Hamiltonian with an active charm quark, obtained using overlap fermions in the quenched approximation.…

高能物理 - 格点 · 物理学 2016-09-01 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

The $K\to\pi\pi$ decay amplitudes are studied within the framework of generalized factorization in which the effective Wilson coefficients are gauge-invariant, renormalization-scale and -scheme independent while factorization is applied to…

高能物理 - 唯象学 · 物理学 2007-05-23 Hai-Yang Cheng

We report on recent work on the determination of low-energy constants describing Delta{S}=1 weak transitions, in order to investigate the origins of the Delta{I}=1/2 rule. We focus on numerical techniques designed to enhance the statistical…

高能物理 - 格点 · 物理学 2009-11-10 L. Giusti , P. Hernandez , M. Laine , C. Pena , P. Weisz , J. Wennekers , H. Wittig

Non-leptonic kaon decays are often described through an effective chiral weak Hamiltonian, whose couplings ("low-energy constants") encode all non-perturbative QCD physics. It has recently been suggested that these low-energy constants…

高能物理 - 格点 · 物理学 2010-02-03 P. Hernandez , M. Laine

Suppose that the weak interaction Hamiltonian of four-flavour SU(4) chiral effective theory is known, for a small charm quark mass m_c. We study how the weak Hamiltonian changes as the charm quark mass increases, by integrating it out…

高能物理 - 唯象学 · 物理学 2008-11-26 P. Hernandez , M. Laine

I summarize the status of the $\Delta I=1/2$ rule in $K\to\pi\pi$ decays within an {\it analytic} approach based on the dual representation of QCD as a theory of weakly interacting mesons for large $N$, where $N$ is the number of colours.…

高能物理 - 唯象学 · 物理学 2014-10-08 Andrzej J. Buras

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…

高能物理 - 格点 · 物理学 2009-10-31 S. Capitani , L. Giusti

We report on the status of our dynamical simulations of a $SU (N_c )$ gauge theory with $N_c=3-6$ and $N_f =4$ fundamental fermions. These ensembles can be used to study the Large $N_c$ scaling of weak matrix elements in the GIM limit…

高能物理 - 格点 · 物理学 2018-10-16 Fernando Romero-López , Andrea Donini , Pilar Hernández , Carlos Pena

The $\Delta I=1/2$ rule and direct CP violation $\epsilon'/\epsilon$ in kaon decays are studied within the framework of the effective Hamiltonian approach in conjunction with generalized factorization for hadronic matrix elements. We…

高能物理 - 唯象学 · 物理学 2007-05-23 Hai-Yang Cheng

Second-generation theoretical technologies -- heavy quark expansions, QCD sum rules and QCD simulations on the lattice -- are arriving on the scene, allowing a treatment of charm decays that is genuinely based on QCD. The availability of…

高能物理 - 唯象学 · 物理学 2007-05-23 I. I. Bigi

We compute the isospin $I= 0$ and 2 amplitudes for the decay of a kaon into two pions by estimating the relevant hadronic matrix elements in the chiral quark model. The results are parametrized in terms of the quark and gluon condensates…

高能物理 - 唯象学 · 物理学 2009-10-28 V. Antonelli , S. Bertolini , M. Fabbrichesi , E. I. Lashin

We review and update our results for K-> pipi decays and K^0-\bar K^0 mixing obtained by us in the 1980s within an approach based on the dual representation of QCD as a theory of weakly interacting mesons for large N colours. In our…

高能物理 - 唯象学 · 物理学 2014-04-29 Andrzej J. Buras , Jean-Marc Gerard , William A. Bardeen

I : Chiral Perturbation Theory is introduced and its applications to semileptonic and nonleptonic kaon decays are discussed. II: The method of large $N_c$ is used to calculate $K\to\pi\pi$ nonleptonic matrix elements, in particular the…

高能物理 - 唯象学 · 物理学 2007-05-23 Johan Bijnens

I review a recent attempt to reproduce the isospin $I= 0$ and 2 amplitudes for the decay of a kaon into two pions by estimating the relevant hadronic matrix elements in the chiral quark model. The results are parametrized in terms of the…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Fabbrichesi

We present a new analysis of the Delta I = 1/2 rule in K --> pi pi decays and the B_K parameter. We use the 1/N_c expansion within the effective chiral lagrangian for pseudoscalar mesons and compute the hadronic matrix elements at leading…

高能物理 - 唯象学 · 物理学 2011-09-13 T. Hambye , G. O. Koehler , P. H. Soldan
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