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Related papers: Dissecting the $\Delta I= 1/2$ rule at large $N_c$

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We calculate long-distance contributions to the amplitudes A(K^0 --> pi pi, I) induced by the gluon and the electroweak penguin operators Q_6 and Q_8, respectively. We use the 1/N_c expansion within the effective chiral lagrangian for…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Hambye , G. O. Koehler , E. A. Paschos , P. H. Soldan , W. A. Bardeen

Rare kaon decays are an important testing ground of the electroweak flavor theory: They can provide new signals of CP-violating phenomena. The interplay of long-distance QCD effects in strangeness-changing transitions can be analyzed with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fabrizio Gabbiani

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 study of the finite-volume two-pion matrix elements and correlation functions of the I=0 scalar operator, in full and partially quenched QCD, at one-loop order in chiral perturbation theory. In partially quenched QCD, when the…

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

We calculate in QCD$_2$ the ratios of baryonic matrix elements of $\Delta I = 2$ and $\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Yitzhak Frishman , Amihay Hanany , Marek Karliner

The decay Delta^+ --> p gamma is studied in the 1/N_c expansion of QCD. The ratio of the helicity amplitudes is determined to be A_{3/2}/A_{1/2} = \sqrt{3} + O(1/N_c^2). Equivalently, the ratio E2/M1 of the multipole amplitudes is predicted…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Jenkins , X. Ji , A. V. Manohar

We calculate the one-loop contributions to the difference \Delta_{\pi K} between the isoscalar on-shell pion-kaon scattering amplitude at the Cheng-Dashen point and the scalar form factor \Gamma_K (2M_\pi^2) in the framework of three flavor…

High Energy Physics - Phenomenology · Physics 2009-01-07 Matthias Frink , Bastian Kubis , Ulf-G. Meißner

By describing strong interactions between hadrons via a relativistic supermultiplet scheme and regarding weak interactions as a perturbation thereof, we derive expressions for nonleptonic weak decay amplitudes in terms of constituent quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 R Delbourgo , Dongsheng Liu

As increased statistics and new ensembles with light pions have become available within the CLS effort, we complete previous work by inspecting the chiral behaviour of the pion decay constant. We discuss the validity of Chiral Perturbation…

High Energy Physics - Lattice · Physics 2013-11-26 Stefano Lottini

The non-leptonic $D^0\to K^- K^+$ and $D^0\to \pi^-\pi^+$ decays are powerful probes of the Standard Model and are related to each other through the $U$-spin symmetry of the strong interaction. Using lattice QCD inputs we calculate the…

High Energy Physics - Phenomenology · Physics 2025-12-12 Robert Fleischer , Maria Laura Piscopo , K. Keri Vos , B. Yağmur Zubaroğlu

We investigate nonfactorizable contributions to charm meson decays in $ D \rightarrow \bar K \pi $/ $ \bar K \rho$ /$ \bar K ^{*} \pi$ / $ \bar K a_{1}$ / $ \bar K ^{*} \rho $ modes. Obtaining the contributions from spectator-quark diagrams…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. C. Verma

The decays of non-strange negative parity baryons via the emission of single $\pi$ and $\eta$ mesons are analyzed in the framework of the $1/N_c$ expansion. A basis of spin-flavor operators for the partial wave amplitudes is established to…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. L. Goity , C. Schat , N. Scoccola

The charged $K_{\ell 4}$ decay, $K^+\to\pi^+\pi^-\ell^+\nu_{\ell}$ is studied in the framework of chiral perturbation theory based on the effective Lagrangian including mesons, photons, and leptons. We give analytic expressions for the two…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Cuplov , A. Nehme

The CP conserving amplitudes for the decays $K\to3\pi$ are calculated in Chiral Perturbation Theory. The calculation is made at the next-to-leading order including strong and local electromagnetic isospin breaking. A comparison is made…

High Energy Physics - Phenomenology · Physics 2009-11-10 Johan Bijnens , Fredrik Borg

We use a twice-subtracted partial-wave dispersion relation in the elastic unitarity approximation for final-state interactions to study the amplitude for the delta I = 1/2 CP-conserving weak process K+spurion->pi+pi. We use a simple…

High Energy Physics - Phenomenology · Physics 2012-02-29 N. N. Trofimenkoff

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

Recent $N_f=2+1$ lattice data for meson-meson scattering in $p$-wave and isospin $I=1$ are analyzed using a unitarized model inspired by Chiral Perturbation Theory in the inverse-amplitude formulation for two and three flavors. Chiral…

High Energy Physics - Lattice · Physics 2017-08-30 B. Hu , R. Molina , M. Döring , M. Mai , A. Alexandru

We study CP violation and the contribution of the strong kaon-pion interactions in the three body B --> K pi+ pi- decays. We extend our recent work on the effect of the two-pion S- and P-wave interactions to that of the corresponding…

High Energy Physics - Phenomenology · Physics 2011-03-23 B. El-Bennich , A. Furman , R. Kaminski , L. Lesniak , B. Loiseau , B. Moussallam

Hyperon nonleptonic decays that change strangeness by two units, such as $\Xi\to N\pi$ and $\Omega^-\to nK^-,\Lambda\pi^-,\Sigma^{(*)}\pi$, are highly suppressed in the standard model. Only a few of them have been searched for to date,…

High Energy Physics - Phenomenology · Physics 2023-09-19 Xiao-Gang He , Jusak Tandean , German Valencia

We present the results of a systematic, first-principles study of the spectrum and decay constants of mesons for different numbers of color charges N, via lattice computations. We restrict our attention to states in the non-zero isospin…

High Energy Physics - Lattice · Physics 2013-06-25 Gunnar S. Bali , Francis Bursa , Luca Castagnini , Sara Collins , Luigi Del Debbio , Biagio Lucini , Marco Panero