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We perform a complete calculation of the pion-kaon scattering amplitude in Chiral Perturbation Theory at finite temperature, paying particular attention to the analytic structure of the amplitude and the main differences with respect to the…

High Energy Physics - Phenomenology · Physics 2023-08-30 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Andrea Vioque-Rodríguez

We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three…

High Energy Physics - Phenomenology · Physics 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu

The underlying mixing of quark components of scalar mesons is probed in $\pi K$ scattering within a generalized linear sigma model that contains two scalar meson nonets and two pseudoscalar meson nonets (a quark-antiquark and a four-quark).…

High Energy Physics - Phenomenology · Physics 2016-01-20 Amir H. Fariborz , Esmaiel Pourjafarabadi , Soodeh Zarepour , S. Mohammad Zebarjad

We improve our description of pion-pion scattering data by imposing additional requirements to our previous fits, in the form of once-subtracted Roy-like equations, while extending our analysis up to 1100 MeV. We provide simple and ready to…

High Energy Physics - Phenomenology · Physics 2011-04-22 R. García- Martín , R. Kamiński , J. R. Peláez , J. Ruiz de Elvira , F. J. Ynduráin

I draw attention to a recent breakthrough in the field of low energy pion physics: the consequences of the hidden symmetry of the QCD Hamiltonian have successfully been incorporated in the general dispersive framework for the pi-pi…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Leutwyler

The coupled processes -- the pion-pion scattering and pi pi --> K antiK in the I^GJ^{PC}=0^+0^{++} channel -- are analyzed (both separately and combined) in a model-independent approach based on analyticity and unitarity and using a…

High Energy Physics - Phenomenology · Physics 2013-11-04 Yu. S. Surovtsev , P. Bydzovsky , R. Kaminski , V. E. Lyubovitskij , M. Nagy

Peculiarities of obtaining parameters for broad multi-channel resonances from data are discussed analyzing the experimental data on processes $\pi\pi\to\pi\pi,K\bar{K}$ in the $I^GJ^{PC}=0^+0^{++}$ channel in a model-independent approach…

High Energy Physics - Phenomenology · Physics 2014-01-22 Yurii S. Surovtsev , Petr Bydzovsky , Robert Kaminski , Valery E. Lyubovitskij , Miroslav Nagy

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

We review our evaluation of forward dispersion relations for direct fits to the different, and often conflicting, pion-pion scattering experimental analyses. We find that some of the most commonly used data sets do not satisfy these…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. R. Pelaez

An analysis of the data on forward $pp, \bar pp, \pi^{\pm}p$ and $K^{\pm}p$ scattering is performed making use of the single- and double-subtraction integral and comparing with derivative dispersion relations for amplitudes. Various pomeron…

High Energy Physics - Phenomenology · Physics 2012-02-08 A. Alkin , J. R. Cudell , E. Martynov

Early data on $K^-$ induced reactions off protons are collected and used in a coupled-channel partial wave analysis (PWA). Data which had been published in the form of Legendre coefficients are included in the PWA. In a {\it primary} fit…

Nuclear Experiment · Physics 2020-01-08 M. ~Matveev , A. V. ~Sarantsev , V. A. Nikonov , A. V. Anisovic , U. Thoma , E. Klempt

The Compton scattering on a charged pion is studied using the dispersion relations. Unknown mass, full width and decay width into \gamma \gamma of the sigma meson are found from a fit to the experimental data for the process \gamma+\gamma…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. V. Fil'kov , V. L. Kashevarov

In this paper we report on results for the s-wave scattering length of the $\pi$-$K$ system in the $I=3/2$ channel from $N_f=2+1+1$ Lattice QCD. The calculation is based on gauge configurations generated by the European Twisted Mass…

Pion-kaon ($\pi K$) final states, often appearing in heavy-particle decays at the precision frontier, are important for Standard-Model tests, to describe crossed channels with exotic states, and for spectroscopy of excited kaon resonances.…

High Energy Physics - Phenomenology · Physics 2025-07-15 Frederic Noël , Leon von Detten , Christoph Hanhart , Martin Hoferichter , Bastian Kubis

It has been recently suggested that it is possible to calculate the effect of final state interactions in K -> pi pi amplitudes by applying dispersive methods to the amplitude with the kaon off-shell. We critically reexamine the procedure,…

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

We report our progress on the data analysis of $\pi\pi$ scattering data in terms of Forward Dispersion Relations (FDR), as well as Roy equations (RE) and their once-subtracted counterpart, GKPY equations. The first part of the analysis…

High Energy Physics - Phenomenology · Physics 2009-07-01 R. Garcia-Martin , R. Kaminski , J. R. Pelaez , F. J. Yndurain

A new unitarization approach is discussed and applied to study the elastic $\pi K$ scattering process. The existence of the light $\kappa$ resonance is firmly established if the scattering length in the I=1/2 channel does not deviate too…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Q. Zheng , Z. Y. Zhou , G. Y. Qin , Z. G. Xiao

Recent experimental data for the differential decay distribution of the decay $\tau^-\to\nu_\tau K_S\pi^-$ by the Belle collaboration are described by a theoretical model which is composed of the contributing vector and scalar form factors…

High Energy Physics - Phenomenology · Physics 2009-02-27 Diogo R. Boito , Rafel Escribano , Matthias Jamin

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

The elastic $I=1/2$, $s$- and $p$-wave kaon-pion scattering amplitudes are calculated using a single ensemble of anisotropic lattice QCD gauge field configurations with $N_{\mathrm{f}} = 2+1$ flavors of dynamical Wilson-clover fermions at…

High Energy Physics - Lattice · Physics 2018-06-11 Ruairí Brett , John Bulava , Jacob Fallica , Andrew Hanlon , Ben Hörz , Colin Morningstar