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Related papers: A New Estimate of $\varepsilon '/\varepsilon$

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We construct several classes of hadronic matrix elements and relate them to the low-energy constants in Chiral Perturbation Theory that describe the electromagnetic effects in the semileptonic beta decay of the pion and the kaon. We propose…

High Energy Physics - Lattice · Physics 2020-10-29 Chien-Yeah Seng , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Ulf-G. Meißner

We review the theory of epsilon'/epsilon and present an updated phenomenological analysis using hadronic matrix elements from lattice QCD. The present status of the computation of epsilon'/epsilon, considering various approaches to the…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Ciuchini , G. Martinelli

There is no doubt that in the coming years we will witness the renaissance of kaon flavour physics with crucial measurements of the branching ratios for the rare decays $K^+\rightarrow\pi^+\nu\bar\nu$ and $K_{L}\rightarrow\pi^0\nu\bar\nu$…

High Energy Physics - Phenomenology · Physics 2016-07-18 Andrzej J. Buras

Recently the RBC-UKQCD lattice collaboration presented new results for the hadronic matrix elements relevant for the ratio $\varepsilon'/\varepsilon$ in the Standard Model (SM). With the present knowledge of the Wilson coefficients and…

High Energy Physics - Phenomenology · Physics 2020-12-30 Jason Aebischer , Andrzej J. Buras , Jacky Kumar

We calculate $\Delta I = 3/2$ kaon decay matrix elements using domain wall fermions and the DBW2 gauge action at one coarse lattice spacing corresponding to $a^{-1} = 1.3$ GeV. We employ the Lellouch and L\"uscher formula and its extention…

High Energy Physics - Lattice · Physics 2019-08-14 T. Yamazaki

I shortly review the present status of the theoretical calculations of eps'/eps and the comparison with the present experimental results. I discuss the role of higher order chiral corrections and in general of non-factorizable contributions…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Bertolini

The CKM matrix element $|V_{us}|$ can be extracted from the experimental measurement of semileptonic $K\to\pi$ decays. The determination depends on theory input for the corresponding vector form factor in QCD. We present a preliminary…

High Energy Physics - Lattice · Physics 2012-12-14 Peter A. Boyle , Jonathan M. Flynn , Andreas Jüttner , Christopher Sachrajda , Karthee Sivalingam , James M. Zanotti

We analyze long-distance contributions to the K --> pi pi amplitudes relevant for the Delta I = 1/2 selection rule in the framework of the 1/N_c expansion. We use a modified prescription for the identification of meson momenta in the chiral…

High Energy Physics - Phenomenology · Physics 2011-03-17 T. Hambye

We make an attempt to clarify the role of the annihilation or "penguin" mode in the description of the $K\rightarrow\pi\pi$ decay within the Standard Model. The attention is concentrated on new operators in the effective $\Delta S=1$…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. A. Penin , A. A. Pivovarov

In this short review, I present the recent lattice computations of kaon weak matrix elements relevant to $K \to \pi\pi$ decays and neutral kaon mixing. These matrix elements are key to the theoretical determination of the CP violation…

High Energy Physics - Lattice · Physics 2015-12-09 Nicolas Garron

We quantify the important effect of strong final state interactions in the weak $K\to 2\pi$ amplitudes, using the measured $\pi$-$\pi$ phase shifts with J=0 and $I=0,2$. The main results of this analysis, with their implications for…

High Energy Physics - Phenomenology · Physics 2014-11-17 Elisabetta Pallante , Antonio Pich

I give a short presentation of the theoretical prediction of epsilon-prime/epsilon. Short distance and especially long distance aspects of the computation is discussed. I consentrate on the general framework and the chiral quark model…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. O. Eeg

We use the recently calculated two--loop anomalous dimensions of current-current operators, QCD and electroweak penguin operators to construct the effective Hamiltonian for $\Delta S=1$ transitions beyond the leading logarithmic…

High Energy Physics - Phenomenology · Physics 2010-11-01 Andrzej J. Buras , Matthias Jamin , Markus E. Lautenbacher

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

A self-consistent analysis of K->2pi and K->3pi decays within a unique framework of chiral dynamics applied to the QCD-corrected weak nonleptonic quark lagrangian has been performed. The results on K->2pi amplitudes at O(p^6), including the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Bel'kov , G. Bohm , A. V. Lanyov , A. A. Moshkin

We consider the matrix elements of the left-handed flavor-conserving four-quark operators in the nucleon and pion states. Using chiral symmetry, we derive relationships among these matrix elements. We argue that the $\Delta I = 1/2$ rule of…

High Energy Physics - Phenomenology · Physics 2009-10-22 Xiangdong Ji

We review the latest calculations of the next-to-leading $\DSone$ effective Hamiltonian, relevant for $K\to \pi\pi$ transitions. Numerical results for the Wilson coefficients are given for different regularization schemes. Predictions of…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. Ciuchini , E. Franco , G. Martinelli , L. Reina

An improved update of the structure and decays of $\rho^0$, $\omega$ and $\phi$ mesons based on a chiral SU(3) Lagrangian, including anomaly terms is presented. We demonstrate that a consistent and quantitatively successful description of…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. Klingl , N. Kaiser , W. Weise

We evaluate the matrix elements for the radiative kaon decays $K^+ \to l^+\nu_l\gamma$, $l^+ \nu_l l'^+ l'^-$ and $K \to \pi l \nu_l\gamma$ \ ($l,\ l' = e,\mu$) to next-to-leading order in chiral perturbation theory. We calculate total…

High Energy Physics - Phenomenology · Physics 2011-09-29 J. Bijnens , G. Ecker , J. Gasser