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Related papers: epsilon'/epsilon in the Chiral Limit

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We present the first direct evaluation of DI = 3/2 K -> pi pi matrix elements with the aim of determining all the low-energy constants at NLO in the chiral expansion. Our numerical investigation demonstrates that it is indeed possible to…

High Energy Physics - Lattice · Physics 2008-11-26 P. Boucaud , V. Gimenez , C-J. D. Lin , V. Lubicz , G. Martinelli , M. Papinutto , C. T. Sachrajda

I calculate the leading logarithmic contributions up to two-loop order of the octet part of the K -> pi pi amplitude. This sector of the weak chiral Lagrangian is believed to be the main source of the enhancement of the I=0 relative to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthias Buchler

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

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 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

The CP-violating parameter eps'/eps is estimated in a novel way by including the explicit computation of eps in the ratio as opposed to the usual procedure of taking its value from the experiments. This approach has the advantage of being…

High Energy Physics - Phenomenology · Physics 2011-08-17 Marco Fabbrichesi

We report on recent advances at understanding the $\Delta I= 1/2$ rule for kaons. We get reasonable matching between short-- and long--distances for scales between between 0.6 and 1.0 GeV and reproduce the $\Delta I=1/2$ rule huge…

High Energy Physics - Phenomenology · Physics 2009-10-31 Joaquim Prades

The theoretical status of direct CP violation $\epsilon'/\epsilon$ is briefly reviewed. Special attention is paid to the recent new consistent predictions for both the ratio $\epsilon'/\epsilon$ and the $\Delta I = 1/2$ rule within the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yue-Liang Wu

We present a new analysis of the ratio epsilon'/epsilon within the Standard Model (SM) using a formalism that is manifestly independent of the values of leading (V-A)x(V-A) QCD penguin, and EW penguin hadronic matrix elements of the…

High Energy Physics - Phenomenology · Physics 2016-01-27 Andrzej J. Buras , Martin Gorbahn , Sebastian Jäger , Matthias Jamin

Estimates of the CP violating observable $\varepsilon'/\varepsilon$ have gained some attention in the past few years. Depending on the long-distance treatment used, they exhibit up to $2.9\sigma$ deviation from the experimentally measured…

High Energy Physics - Phenomenology · Physics 2018-12-11 Jason Aebischer

Because of the small size of the ratio A_2/A_0 of the I=2 to I=0 K -> pipi decay amplitudes (the Delta I=1/2 rule) the effects of electromagnetism on A_2 may be a factor of 20 larger than given by a naive O(alpha) estimate. Thus, if future…

High Energy Physics - Lattice · Physics 2018-04-18 Norman Christ , Xu Feng

We study the reactions $K \rightarrow \pi \pi \nu \overline{\nu}$ within the minimal standard model. We use isospin symmetry to relate the matrix elements to the form factors measured in $K_{\ell 4}$. We argue that these modes are short…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. S. Littenberg , G. Valencia

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 report on recent advances on the computation of the matrix elements of the electroweak penguins Q_7 and Q_8 which are relevant for the Delta I=3/2 contribution to epsilon'_K in the chiral limit. The matching of scale and scheme…

High Energy Physics - Phenomenology · Physics 2015-06-25 Elvira Gamiz , Joaquim Prades , Johan Bijnens

We reconsider the dispersive evaluation of the weak matrix elements <2pi_{I=2}|Q_{7,8}|K0> in the chiral limit. The perturbative matching is accomplished fully within the scheme dependence used in the two loop weak OPE calculations. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vincenzo Cirigliano , John F. Donoghue , Eugene Golowich , Kim Maltman

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

After updating the determination of the combination of Kobayashi-Maskawa elements $ \Im V_{td}V^*_{ts}$ according to our new estimate of the parameter $\hat B_K$, we study the CP-violating ratio $\epsilon'/\epsilon$ by means of hadronic…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Bertolini , J. O. Eeg , M. Fabbrichesi , E. I. Lashin

The low lying spectrum of QCD in the delta-regime is calculated here in chiral perturbation theory up to NNL order. The spectrum has a simple form in terms of the pion decay constant F and a combination of the low energy constants Lambda1…

High Energy Physics - Theory · Physics 2010-03-25 P. Hasenfratz

Isospin breaking correction to the $\Delta I = {1/2}$ decay of $K\to\pi\pi$ generates a large enough contribution to $\epsilon'$ through an induced $\Delta I = {3/2}$ amplitude in $K_L$ decay. Aside from the $\pi$-$\eta$ and $\pi$-$\eta'$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mahiko Suzuki

It is shown that the low energy coefficients of the next-to-leading order (NLO) chiral perturbation theory needed to determine $\Delta I=1/2$, $K\to\pi\pi$ decay amplitudes can be fixed by calculating $K\pi\to\pi$ amplitudes on lattice.…

High Energy Physics - Lattice · Physics 2009-09-02 Changhoan Kim