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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

We calculate the hadronic matrix elements to $O(p^4)$ in the chiral expansion for the ($\Delta S =1$) $K^0 \to 2 \pi$ decays and the ($\Delta S=2$) $\bar K^0$-$K^0$ oscillation. This is done within the framework of the chiral quark model.…

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

Physics beyond the standard model of electroweak interactions that violates lepton number will, in general, induce operators involving the quark and lepton fields that violate lepton number. I point out that some matrix elements of…

Nuclear Theory · Physics 2009-10-31 Martin J. Savage

We present our result for the $K\to\pi\pi$ decay amplitudes for both the $\Delta I=1/2$ and $3/2$ processes with the improved Wilson fermion action. In order to realize the physical kinematics, where the pions in the final state have finite…

High Energy Physics - Lattice · Physics 2018-12-26 N. Ishizuka , K. -I. Ishikawa , A. Ukawa , T. Yoshié

Recent work by J.Prades and myself on $K\to\pi\pi$ is described. The method we use to consistently connect long and short distances is described and numerical results for the $\Delta I=1/2$ rule and on $B_6$, the parameter relevant for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Johan Bijnens

The two-body decay rate of a weakly decaying particle (such as the kaon) is shown to be proportional to the square of a well-defined transition matrix element in finite volume. Contrary to the physical amplitude, the latter can be extracted…

High Energy Physics - Lattice · Physics 2009-10-31 Laurent Lellouch , Martin Lüscher

We present preliminary results for B_K, B_7^{3/2} and B_8^{3/2} from two high-statistics lattice computations. These calculations are performed at beta=6.0 and 6.2 in the quenched approximation, using mean-field-improved…

High Energy Physics - Lattice · Physics 2008-11-26 Laurent Lellouch , C. -J. David Lin , UKQCD Collaboration

We present the ingredients for determining $K^{+}\to\pi^{+}\pi^{0}$ matrix elements via the combination of lattice QCD and chiral perturbation theory ($\chi$PT). By simulating these matrix elements at unphysical kinematics, it is possible…

High Energy Physics - Lattice · Physics 2008-11-26 C. -J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro

We report on dispersive and finite energy sum rule analyses of the electroweak penguin matrix elements < (pi pi) | Q_{7,8} | K > in the chiral limit. We accomplish the correct perturbative matching (scale and scheme dependence) at NLO in…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Cirigliano , J. F. Donoghue , E. Golowich , K. Maltman

This talk presents results of weak matrix elements calculated from simulations done on 170 $32^3 \times 64$ lattices at $\beta = 6.0$ using quenched Wilson fermions. We discuss the extraction of pseudoscalar decay constants $f_\pi$, $f_K$,…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta , Tanmoy Bhattacharya

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

We compute several matrix elements of dimension-six four-fermion operators and extract their B-parameters. The calculations have been performed with the tree-level Clover action at $\beta = 6.0$. The renormalization constants and mixing…

High Energy Physics - Lattice · Physics 2016-09-01 L. Conti , A. Donini , V. Gimenez , G. Martinelli , M. Talevi , A. Vladikas

We study the correlation between $\epe$ and $\Delta I=1/2$ rule in the framework of non-linear $\sigma$ model including scalar mesons. The matrix elements of QCD and Electroweak (EW) penguin operators are computed within factorization…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Harada , Y. Keum , Y. Kiyo , T. Morozumi , T. Onogi , N. Yamada

The coupling constants of the order $p^2$ low-energy weak effective lagrangian can be determined from the $K\to\pi$ and $K\to 0$ weak matrix elements, choosing degenerate quark masses for the first of these. However, for typical values of…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman , Elisabetta Pallante

The slope and curvature parameters of the $K\pi$ vector form factor, $F_+^{K\pi}$, are fitted to the data on $\tauKpi$ and $K_{l3}$ decays yielding $\lambda_+'=(25.49 \pm 0.31) \times 10^{-3}$ and $\lambda_+"= (12.22 \pm 0.14) \times…

High Energy Physics - Phenomenology · Physics 2011-01-17 Diogo R. Boito , Rafel Escribano , Matthias Jamin

We report progress in our lattice study of hadronic weak matrix elements relevant for the Delta I = 1/2 rule and epsilon-prime. The presented results are from our first runs on a quenched ensemble with beta=6.0 and a dynamical Nf=2 ensemble…

High Energy Physics - Lattice · Physics 2009-10-30 Dmitry Pekurovsky , Greg Kilcup

The $K\to\pi\pi$ system is analyzed in the chiral limit within the Standard Model. We discuss how to connect the short-distance running in the $|\Delta S|=1$ case to the matrix-elements calculated in a low-energy approximation in a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Johan Bijnens , Joaquim Prades

In kaon decay, electromagnetic radiative corrections can generate shifts in the apparent Delta I = 3/2 amplitude of order alpha A_0/A_2 ~ 22 alpha. In order to know the true Delta I = 3/2 amplitude for comparison with lattice calculations…

High Energy Physics - Phenomenology · Physics 2009-10-31 Vincenzo Cirigliano , John F. Donoghue , Eugene Golowich

Hadronic phase in $\pi \pi$ and $K \bar K$ channels are calculated a la Regge. At the D mass one finds $\delta_{\pi \pi} \approx \pi/3$ and $\delta_{K \bar K} \approx -\pi/6$ in good agreement with the CLEO data while at the B mass these…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -M. Gerard , J. Pestieau , J. Weyers

We investigate the K1--> K pi pi strong interaction decays. Using the 3P0 quark-pair-creation model to derive the basic parametrization, we discuss in detail how to obtain the various partial wave amplitudes into the possible quasi-two-body…

High Energy Physics - Phenomenology · Physics 2013-05-30 Andrey Tayduganov , Emi Kou , Alain Le Yaouanc