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Isospin breaking in the $K_{\ell 4}$ form factors induced by the difference between charged and neutral pion masses is discussed within a framework built on suitably subtracted dispersion representations. The $K_{\ell 4}$ form factors are…

High Energy Physics - Phenomenology · Physics 2014-12-04 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht

In terms of effective field theory and mixed propagator approach, we show that there is a larger hidden effect of isospin breaking in $\rho^0\to\pi^0\gamma$ decay due to an $\omega$ exchange, $\rho^0\to\omega\to\pi^0\gamma$. The branching…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Ji-Hao Jiang , Mu-Lin Yan

The final state interactions in $K^\pm\to\pi^\pm\pi^0\pi^0$ decays are considered using the methods of non-relativistic quantum mechanics. We show how to take into account the largest electromagnetic effects in the analysis of experimental…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. R. Gevorkyan , D. T. Madigozhin , A. V. Tarasov , O. O. Voskresenskaya

We investigate the $D_{s}^{+} \rightarrow K^{+} K^{-} \pi^{+}$ decay theoretically with the final state interactions, which is based on the chiral unitary approach and takes into account the external and internal $W$-emission mechanisms at…

High Energy Physics - Phenomenology · Physics 2022-03-22 Zhong-Yu Wang , Jing-Yu Yi , Zhi-Feng Sun , C. W. Xiao

The final-state interaction in multichannel decay processes is sytematically studied with application to B decay in mind. Since the final-state inteaction is intrinsically interwoven with the decay interaction in this case, no simple phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mahiko Suzuki

Strong final-state interactions create a pronounced cusp in eta' --> eta pi0 pi0 decays. We adapt and generalize the non-relativistic effective field theory framework developed for the extraction of pi pi scattering lengths from K --> 3 pi…

High Energy Physics - Phenomenology · Physics 2009-08-05 Bastian Kubis , Sebastian P. Schneider

We study $D \to \pi\pi$ decays with final state interactions considered in one-particle-exchange method. A clear physical picture for final state interactions based on quark and hadronic level diagrams is presented. A strong phase is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Medina Ablikim , Dong-Sheng Du , Mao-Zhi Yang

We evaluate the size of isospin breaking corrections to form factors $f$ and $g$ of the $K_{\ell 4}$ decay process $K^+\to\pi^+\pi^-\ell^+\nu_{\ell}$ which is actually measured by the extended NA48 setup at CERN. We found that, keeping…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Nehme

We derive dispersion relations for $K\to\pi\pi$ decay, using the Lehmann-Symanzik-Zimmermann formalism, which allows the analytic continuation of the amplitudes with respect to the momenta of the external particles. No off-shell…

High Energy Physics - Phenomenology · Physics 2011-09-13 C. Bourrely , I. Caprini , L. Micu

We simulate K pi scattering in s-wave and p-wave for both isospins I=1/2, 3/2 using quark-antiquark and meson-meson interpolating fields. We extract the elastic phase shifts delta at several values of the K-pi relative momenta. The…

High Energy Physics - Lattice · Physics 2013-05-20 C. B. Lang , Luka Leskovec , Daniel Mohler , Sasa Prelovsek

Ground state energies and superfluid gaps are calculated for degenerate Fermi systems interacting via long attractive scattering lengths such as cold atomic gases, neutron and nuclear matter. In the intermediate region of densities, where…

Condensed Matter · Physics 2009-10-31 H. Heiselberg

We show that the large corrections due to final state interactions (FSI) in the D^+\to \pi^-\pi^+\pi^+, D^+_s\to \pi^-\pi^+\pi^+, and D^+\to K^-\pi^+\pi^+ decays can be accounted for by invoking scattering amplitudes in agreement with those…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jose A. Oller

The semileptonic $D_{l4}$ decay including $D\to K\pi l\nu$ and $D\to \pi\pi l\nu$ have been extensively studied. In these references, the form factors and differential decay rate are explicitly stated. However, we would like to stress that…

High Energy Physics - Phenomenology · Physics 2011-03-03 Xian-Wei Kang , Hai-Bo Li , Gong-Ru Lu

The branching ratio of the \eta->3\pi decay is an important source of information on the value of the quark mass ratio 1/R=(m_d-m_u)/(m_s-\hat m). Furthermore, isospin breaking effects in the decays K->3\pi provide information on the pion…

High Energy Physics - Phenomenology · Physics 2011-03-07 M. Zdrahal , K. Kampf , M. Knecht , J. Novotny

An isospin analysis of $B\to \pi\pi$ decays yields $\sin 2\alpha$, where $\alpha$ is the usual CKM angle $\alpha\equiv {\rm arg} [-V_{td} V_{tb}^\ast/(V_{ud}V_{ub}^\ast)]$ without hadronic uncertainty if isospin is a perfect symmetry. Yet…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Gardner

Pion-kaon ($\pi K$) pairs occur frequently as final states in heavy-particle decays. A consistent treatment of $\pi K$ scattering and production amplitudes over a wide energy range is therefore mandatory for multiple applications: in…

High Energy Physics - Phenomenology · Physics 2021-05-19 Leon von Detten , Frederic Noël , Christoph Hanhart , Martin Hoferichter , Bastian Kubis

The final state interaction of pions in the decay $K^\pm\to \pi^+\pi^-e^\pm\nu$ allows to obtain the value of the isospin and angular momentum zero pion-pion scattering length $a_0^0$. To extract this quantity from experimental data the…

High Energy Physics - Phenomenology · Physics 2009-11-05 Yu. M. Bystritskiy , S. R. Gevorkyan , E. A. Kuraev

We describe the spectra and decays of pi pi and pi K atoms within a non-relativistic effective field theory. The evaluations of the energy shifts and widths are performed at next-to-leading order in isospin symmetry breaking. We provide…

High Energy Physics - Phenomenology · Physics 2017-02-08 J. Schweizer

We perform a detailed study of the consequences of isospin symmetry in the Cabibbo favoured $D\to\Kbar\pi\pi$ decays. These processes are important for precision testing of the Standard Model and for hadronic physics. Combining isospin…

High Energy Physics - Phenomenology · Physics 2023-12-29 Emi Kou , Tetiana Moskalets , Bachir Moussallam

We are using domain wall fermions to study $K \to \pi \pi$ matrix elements by measuring $K \to \pi$ and $K \to 0$ matrix elements on the lattice and employing chiral perturbation theory to relate these to the desired physical result. The…

High Energy Physics - Lattice · Physics 2009-10-31 Robert D. Mawhinney