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Related papers: Kaon mixing and the charm mass

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We present a method to non-perturbatively determine the long-distance contribution to the $K_{L}$-$K_{S}$ mass difference. The calculation is performed on 2+1 flavor, domain wall fermion, $16^3\times32$ configurations with a 421 MeV pion…

High Energy Physics - Lattice · Physics 2012-12-04 Jianglei Yu

We develop and demonstrate techniques needed to compute the long distance contribution to the $K_{L}$-$K_{S}$ mass difference, $\Delta M_K$, in lattice QCD and carry out a first, exploratory calculation of this fundamental quantity. The…

High Energy Physics - Lattice · Physics 2013-12-24 N. H. Christ , T. Izubuchi , C. T. Sachrajda , A. Soni , J. Yu

The real and imaginary parts of the $K_L-K_S$ mixing matrix receive contributions from all three charge-2/3 quarks: up, charm and top. These give both short- and long-distance contributions which are accessible through a combination of…

High Energy Physics - Lattice · Physics 2014-02-12 Norman Christ , Taku Izubuchi , Christopher T. Sachrajda , Amarjit Soni , Jianglei Yu

Long distance contribution to the $K^0-\bar K^0$ mixing is taken into account consistently and the corrections to the naive duality result represented by the famous box diagram are found to be small. Estimates are given in the leading order…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Penin , A. A. Pivovarov

We estimate the long distance contribution to the $K^+ \rightarrow \pi^+ \nu \bar\nu$ decay amplitude using chiral perturbation theory. We find that it is likely to be less than a few percent of the part of the short distance contribution…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ming Lu , Mark B. Wise

The calculation of the long-distance contribution to the $K^0-\bar{K}^0$ mass matrix is divided into three parts: First, the calculation of the matrix element between kaon states of the product of two space-time integrated, $\Delta S=1$,…

High Energy Physics - Lattice · Physics 2010-12-30 Norman H. Christ

The largest contribution to the CP violating K_L-K_S mixing parameter \epsilon_K comes from second order weak interactions at short distances and can be accurately determined by a combination of electroweak perturbation theory and the…

High Energy Physics - Lattice · Physics 2012-01-11 Norman H. Christ

The electromagnetic contribution to the $K^+ - K^0$ mass difference is calculated in the $1/N_c$ approach including the $SU(3)$ breaking contributions due to a non-zero strange quark mass. The short-distance contribution can be…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Bijnens

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Hernandez , M. Laine

I review a recent analytic method for computing matrix elements of electroweak operators based on the large-Nc expansion. In particular, I give a rather detailed description of the matching of the quark Lagrangian onto the meson chiral…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Peris

Neutral Kaon mixing plays an important role in the phenomenology of the standard model and its extensions because of its sensitivity to high-energy scales. In particular epsilon_K, parameterising indirect CP violation in the neutral Kaon…

High Energy Physics - Phenomenology · Physics 2011-11-08 Joachim Brod

The chiral Lagrangian describing the low-energy behavior of N_f=2+1+1 twisted mass lattice QCD is constructed through O(a^2). In contrast to existing results the effects of a heavy charm quark are consistently removed, leaving behind a…

High Energy Physics - Lattice · Physics 2014-09-05 Oliver Baer , Ben Horz

The parameter $\epsilon_K$ describes CP violation in the neutral kaon system and is one of the most sensitive probes of new physics. The large uncertainties related to the charm-quark contribution to $\epsilon_K$ have so far prevented a…

High Energy Physics - Phenomenology · Physics 2020-10-28 Joachim Brod , Martin Gorbahn , Emmanuel Stamou

We calculate the complete NNLO QCD corrections to the charm contribution of the rare decay K+ -> pi+ nu nu-bar. We encounter several new features, which were absent in lower orders. We discuss them in detail and present the results for the…

High Energy Physics - Phenomenology · Physics 2016-06-29 Andrzej J. Buras , Martin Gorbahn , Ulrich Haisch , Ulrich Nierste

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…

High Energy Physics - Lattice · Physics 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…

High Energy Physics - Lattice · Physics 2008-11-26 P. Hernandez

A lattice QCD approach to the calculation of the long-distance contributions to $\epsilon_K$ is presented. This parameter describes indirect CP violation in $K\to\pi\pi$ decay. While the short-distance contribution to $\epsilon_K$ can be…

High Energy Physics - Lattice · Physics 2023-09-06 Ziyuan Bai , Norman H. Christ , Joseph M. Karpie , Christopher T. Sachrajda , Amarjit Soni , Bigeng Wang

We compute the $\widehat B_K$ parameter and the mass difference $\Delta M_{LS}$ of the $K^0-\bar K^0$ system by means of the chiral quark model. The chiral coefficients of the relevant $\Delta S=2$ and $\Delta S=1$ chiral lagrangians are…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Antonelli , S. Bertolini , M. Fabbrichesi , E. I. Lashin

We report on the first complete calculation of the $K_L-K_S$ mass difference, $\Delta M_K$, using lattice QCD. The calculation is performed on a 2+1 flavor, domain wall fermion ensemble with a 330MeV pion mass and a 575 MeV kaon mass. We…

High Energy Physics - Lattice · Physics 2014-09-25 Z. Bai , N. H. Christ , T. Izubuchi , C. T. Sachrajda , A. Soni , J. Yu

We report on the results of a calculation of next-to leading order short distance QCD corrections to the coefficient $\eta_1$ of the effective $\Delta S = 2$ Lagrangian in the standard model and discuss the uncertainties inherent in such a…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Herrlich
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