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The final state interaction of pions in $K_{e4}$ decay allows one to obtain the value of the isospin and angular momentum zero $\pi\pi$ scattering length $a_0^0$.We take into account the electromagnetic interaction of pions and isospin…

High Energy Physics - Phenomenology · Physics 2011-04-07 S. R. Gevorkyan , A. N. Sissakian , A. V. Tarasov , H. T. Torosyan , O. O. Voskresenskaya

The cusp effect in K \to 3\pi and data on K_e4 decays allow one to extract experimental information on the elastic \pi\pi scattering amplitude near threshold, and to confront the outcome of the analyses with predictions made in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Gasser

Data on Ke4 decays allow one to extract experimental information on the elastic pi pi scattering amplitude near threshold, and to confront the outcome of the analysis with predictions made in the framework of QCD. These predictions concern…

High Energy Physics - Phenomenology · Physics 2009-05-20 Gilberto Colangelo , Juerg Gasser , Akaki Rusetsky

We consider what constraints unitarity and CPT invariance yield on the strong and electromagnetic phases entering K -> pi pi decay. In particular, we show that the relative size of the electromagnetically-induced changes in the I=0 and I=2…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Gardner , Ulf-G. Meißner , G. Valencia

In the framework of chiral perturbation theory with photons and leptons, the one-loop isospin breaking effects in $K_{\ell4}$ decays due to both the photonic contribution and the quark and meson mass differences are computed. A comparison…

High Energy Physics - Phenomenology · Physics 2015-06-18 Peter Stoffer

Final state interactions are considered to formulate the $B$ meson decay amplitude for the $K\pi\pi$ channel. The Faddeev decomposition of the Bethe-Salpeter equation is used in order to build a relativistic three-body model within the…

High Energy Physics - Phenomenology · Physics 2021-02-16 J. H. Alvarenga Nogueira , T. Frederico , O. Lourenço

The effect of isoscalar S-wave multi-channel pion-pion scattering ($\pi\pi\to\pi\pi,K\bar{K},\eta\eta$) is considered in the analysis of data on decays of the $\Upsilon$-meson family -- $\Upsilon(2S)\to\Upsilon(1S)\pi\pi$,…

High Energy Physics - Phenomenology · Physics 2014-10-14 Yu. S. Surovtsev , P. Bydzovsky , T. Gutsche , R. Kaminski , V. E. Lyubovitskij , M. Nagy

A new approach to the analysis of three body decays is presented. Model-independent results are obtained for the \swave $K\pi$ amplitude as a function of $K\pi$ invariant mass. These are compared with results from $\Km\pip$ elastic…

High Energy Physics - Experiment · Physics 2007-05-23 B. T. Meadows , E. Aitala

The final state interaction (FSI) contribution to charged $D$ decay into $K\pi\pi$ is computed within a light-front framework, considering $S$-wave $K\pi$ interactions in $1/2$ and $3/2$ isospin states. The convergence of the rescattering…

High Energy Physics - Phenomenology · Physics 2014-07-04 T. Frederico , K. S. F. F. Guimarães , O. Lourenço , W. de Paula , I. Bediaga , A. C. dos Reis

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

A simple Regge pole model for $K\pi$ scattering explains the large $e^{i \delta}$ between isospin amplitudes which is observed at the D meson mass ($\delta \approx \pi/2$). It predicts $\delta \approx 14^{\circ}- 20^{\circ}$ at the B mass.…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. Delepine , J. -M. Gerard , J. Pestieau , J. Weyers

We describe the influence of electromagnetism on the phenomenology of K -> pi pi decays. This is required because the present data were analyzed without inclusion of electromagnetic radiative corrections, and hence contain several…

High Energy Physics - Phenomenology · Physics 2014-11-17 Vincenzo Cirigliano , John F. Donoghue , Eugene Golowich

The effect of isoscalar S-wave processes $\pi\pi\to\pi\pi,K\overline{K},\eta\eta$ is considered in the analysis of data (from the ARGUS, CLEO, CUSB, Crystal Ball, Belle, BABAR collaborations) on the bottomonia decays ---…

High Energy Physics - Phenomenology · Physics 2015-12-09 Yu. S. Surovtsev , P. Bydžovský , T. Gutsche , R. Kamiński , V. E. Lyubovitskij , M. Nagy

The experimental determination of low energy pi K scattering phase shifts would assist in determining scattering lengths as well as low energy constants of chiral perturbation theory for which sum rules have been constructed. The FOCUS…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. Ananthanarayan , K. Shivaraj

Isospin breaking in the Kl4 form factors induced by the difference between charged and neutral pion masses is studied. Starting from suitably subtracted dispersion representations, the form factors are constructed in an iterative way up to…

High Energy Physics - Phenomenology · Physics 2015-06-16 V. Bernard , S. Descotes-Genon , M. Knecht

The effect of isoscalar S-wave multichannel pi pi -> pi pi, K antiK, eta eta scattering is considered in the analysis of decay data of the Upsilon-mesons. We show that when allowing for the final state interaction contribution to the decays…

High Energy Physics - Phenomenology · Physics 2015-02-19 Yurii S. Surovtsev , P. Bydzovsky , Thomas Gutsche , Robert Kaminski , Valery E. Lyubovitskij , Miroslav Nagy

Dispersive effects from strong $\pi\pi$ rescattering in the final state (FSI) of weak $K\to\pi\pi$ decays are revisited with the goal to have a global view on their {\it relative} importance for the $\Delta I=1/2$ rule and the ratio…

High Energy Physics - Phenomenology · Physics 2017-02-01 Andrzej J. Buras , Jean-Marc Gerard

$K\pi$ scattering and $K_{\mu 4}$ decays are studied at leading order of improved chiral perturbation theory. It is shown that high precision $K_{\mu 4}$ experiments at, e.g., DA$\Phi$NE should allow for a direct measurement of the quark…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Knecht , H. Sazdjian , J. Stern , N. H. Fuchs

Two aspects of isospin breaking in the decay $K^\pm \to \pi^0 \pi^0 e^\pm \stackrel{_{(-)}}{\nu_e}$ are studied and discussed. The first addresses the possible influence of the phenomenological description of the unitarity cusp on the…

High Energy Physics - Phenomenology · Physics 2015-01-29 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht

Present status of the study of the low energy $\pi\pi$ interaction is reviewed, including the recent results on reactions $\pi N \to\pi\pi N$ near threshold. Current experimental values of s-wave $\pi\pi$ scattering lengths are compared…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dinko Pocanic
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