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We propose a new method to obtain the K -> pi pi amplitude from K -> pi which allows one to fully account for the effects of final state interactions. The method is based on a set of dispersion relations for the K -> pi pi amplitude in…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Buchler

We improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain

We propose a new method to obtain the K -> pi pi amplitude from K -> pi which allows one to fully account for the effects of final state interactions. The method is based on a set of dispersion relations for the K -> pi pi amplitude in…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Buechler , G. Colangelo , J. Kambor , F. Orellana

When the isospin chemical potential exceeds the pion mass, charged pions condense in the zero-momentum state forming a superfluid. Chiral perturbation theory provides a very powerful tool for studying this phase. However, the formalism that…

High Energy Physics - Phenomenology · Physics 2017-02-28 Stefano Carignano , Luca Lepori , Andrea Mammarella , Massimo Mannarelli , Giulia Pagliaroli

CERN COMPASS plans measurements of gamma-pi and gamma-K interactions using 50-280 GeV pion (kaon) beams and a virtual photon target. Pion (kaon) polarizabilities and radiative transitions will be measured via Primakoff effect reactions such…

High Energy Physics - Experiment · Physics 2009-10-31 Murray A. Moinester , Victor Steiner

By studying the invariant-mass distribution of the $e^+e^-$ in conversion decays, it is possible to learn more about mesons structure and underlying quark dynamics. At KLOE, the study of the $\phi \to \pi^0 e^+e^-$ process is currently…

High Energy Physics - Experiment · Physics 2018-07-08 Matteo Mascolo

We present a study of the exclusive $pp \to pp K^{+} K^{-} K^{+} K^{-}$ reaction at high energies. We consider diffractive mechanisms with the intermediate $\phi \phi$ state with its decay into the $K^{+} K^{-} K^{+} K^{-}$ system. We…

High Energy Physics - Phenomenology · Physics 2019-05-29 Piotr Lebiedowicz , Otto Nachtmann , Antoni Szczurek

We use effective hadronic field theory to study in-medium properties of the $\phi$ meson. The dominant decay channels $\phi\toK^{+}K^{-}$ and $\phi\to\pi\rho$ are modeled using an SU(3) chiral Lagrangian with normal and abnormal parities.…

Nuclear Theory · Physics 2009-11-10 Laura Holt , Kevin Haglin

The decays $K \to \pi l^{+} l^{-}$, $K \to \pi \gamma \gamma $ and $K \to \pi \nu {\bar \nu}$ are investigated using the higher order terms of the chiral perturbation theory. The counterterms induced by strong, weak and electromagnetic…

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

Chiral perturbation theory, the low energy effective theory of the strong interactions for the light pseudoscalar degrees of freedom, is based on effective Lagrangian techniques and is an expansion in the powers of the external momenta and…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Ananthanarayan , P. Büttiker

Angular distributions of $\phi$ meson decay amplitudes of $e^+e^-$ and $K^+K^-$ channels are computed using both specific interaction Lagrangians and simple arguments relying on angular momentum conservation. Based on the obtained results,…

High Energy Physics - Phenomenology · Physics 2023-04-26 In Woo Park , Hiroyuki Sako , Kazuya Aoki , Philipp Gubler , Su Houng Lee

The OKA Collaboration has obtained a new upper limit on the $K^+ \to \pi^0\pi^0\pi^0 e^+ \nu$ decay probability which is 65 times lower than the one currently listed by PDG. However it is still about $10^{4}$ times worse than the…

High Energy Physics - Phenomenology · Physics 2025-07-14 E. K. Karkaryan , K. V. Kiselev , V. F. Obraztsov , I. V. Surkov , M. I. Vysotsky

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

We present a data-driven analysis of the resonant S-wave $\pi\pi \to \pi\pi$ and $\pi K \to \pi K$ reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are accounted for using the Taylor expansion…

High Energy Physics - Phenomenology · Physics 2021-06-30 Igor Danilkin , Oleksandra Deineka , Marc Vanderhaeghen

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

We study the reactions $\gamma\gamma\rightarrow \pi^0\pi^0$, $\pi^+\pi^-$, $K^0\bar{K}^0$, $K^+K^-$, $\eta \eta$ and $\pi^0\eta$ based on a chiral Lagrangian with dynamical light vector mesons as formulated within the hadrogenesis…

High Energy Physics - Phenomenology · Physics 2015-06-12 I. V. Danilkin , M. F. M. Lutz , S. Leupold , C. Terschlusen

Strong interactions between pairs of the K+ K- and K0 K0bar mesons can be studied in radiative decays of phi(1020) mesons. We present a theoretical model of the reactions e+ e- --> phi --> K+ K- gamma and e+ e- --> phi --> K0 K0bar gamma.…

High Energy Physics - Phenomenology · Physics 2019-02-20 L. Lesniak , F. Sobczuk , M. Silarski , F. Morawski

Exploiting $B$-meson decays for Standard Model tests and beyond requires a precise understanding of the strong final-state interactions that can be provided model-independently by means of dispersion theory. This formalism allows one to…

High Energy Physics - Phenomenology · Physics 2016-02-17 J. T. Daub , C. Hanhart , B. Kubis

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

It is proposed to compute matrix elements for the (unphysical) $K^0\pi^-\to \pi^-$ transition to determine the next-to-leading order low energy constants of the weak chiral Lagrangian. This allows us to evaluate $K\to(\pi\pi)_{I=0}$ decay…

High Energy Physics - Lattice · Physics 2009-10-09 Changhoan Kim , Christopher Sachrajda