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A model field theory, in which the interaction between quarks is mediated by dressed vector boson exchange, is used to analyse the pionic sector of QCD. It is shown that this model, which incorporates dynamical chiral symmetry breaking,…

High Energy Physics - Phenomenology · Physics 2010-03-04 Craig D. Roberts , Reginald T. Cahill , Martin E. Sevior , Nicolangelo Iannella

A simultaneous analysis (in the model-independent approach) of the $\pi\pi$ scattering (from the threshold to 1.9 GeV) and of the $\pi\pi\to K\overline{K}$ process (from the threshold to $\sim$ 1.46 GeV) is carried out in channel with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. S. Surovtsev , D. Krupa , M. Nagy

The theoretical predictions for the subtraction constants lead to a very accurate dispersive representation of the pi pi scattering amplitude below 0.8 GeV. The extension of this representation up to the maximum energy of validity of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Irinel Caprini , Gilberto Colangelo , Heinrich Leutwyler

We review two approaches to studying pseudoscalar meson-meson scattering amplitudes to beyond 1 GeV using non-linear and linear chiral Lagrangians. These approaches use two different unitarisation techniques - a generalised Breit Wigner…

High Energy Physics - Phenomenology · Physics 2008-01-17 Deirdre Black , Jonathan Gaunt

Off-forward structure functions of the pion are investigated in twist-two and twist-three approximation. A simple model is used for the pion, which allows to introduce finite size effects, while preserving gauge invariance. Results for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Bissey , J. R. Cudell , J. Cugnon , J. P. Lansberg , P. Stassart

We study the scalar kaonic states $K_{0}^{\ast}(800)$ and $K_{0}^{\ast}(1430)$ by using a relativistic QFT Lagrangian in which only a single kaonic field corresponding to the well-established scalar state $K_{0}^{\ast}(1430)$ is considered…

High Energy Physics - Phenomenology · Physics 2016-11-03 Milena Soltysiak , Thomas Wolkanowski , Francesco Giacosa

A calculation of the hadronic matrix elements for K\to\pi\pi including \pi-\pi rescattering effects in a dispersion integral is presented. I study the dependence of the results on the matching scale \mu and use them to calculate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. A. Paschos

We analyze the $K^-p\to K^+\Xi^-$ and $K^-p\to K^0\Xi^0$ processes in the energy region $1.8<\sqrt{s}<2.8$ GeV within an effective Lagrangian approach. The $\Lambda(1800)$ and $\Sigma(2250)$ resonances, along with the ground states $\Sigma$…

High Energy Physics - Phenomenology · Physics 2026-05-26 Zheng-Li Luo , Jia-Jun Wu , Bing-Song Zou

The experimental isoscalar $\pi\pi\to\pi\pi$ S-wave amplitude squared below 1.75 GeV is characterized by a very broad structure $f_0(400-1200)$ with two narrow dips due to its destructive interference with the $f_0(980)$ and $f_0(1500)$.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Long Li , Bing-song Zou , Guang-lie Li

In this talk I summarize recently proposed mechanisms to understand pi pi scattering to 1 GeV in an effective chiral Lagrangian. The Lagrangian includes higher resonances in addition to pions consistently with the chiral symmetry. Iso-spin…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masayasu Harada

We have performed a thorough study of the meson-meson S-waves with isospin (I) 0 and 1/2, up to sqrt(s) ~ 2 GeV. This is the first study that includes 13 channels that have their threshold below that energy. All the resonances below 2 GeV,…

High Energy Physics - Phenomenology · Physics 2009-11-13 M. Albaladejo , J. A. Oller , C. Piqueras

We discuss a number of two loop (vertex) integrals relevant for pi K scattering at threshold. As such these are functions of two well separated mass scales, M\_pi/M\_K << 1. The method of regions allows an expansion in this mass ratio prior…

High Energy Physics - Phenomenology · Physics 2009-11-11 Roland Kaiser , Julia Schweizer

The pion structure function is investigated in a simple model, where the pion and its constituent quark fields are coupled through the simplest pseudoscalar coupling. The imaginary part of the forward gamma* pi -> gamma* pi scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , M. Jaminon , P. Stassart

A reanalysis of $\pi\pi$ amplitudes for all important partial-waves below about 2 GeV is presented. A set of once subtracted dispersion relations with imposed crossing symmetry condition is used to modify unitary multi-channel amplitudes in…

High Energy Physics - Phenomenology · Physics 2018-01-24 P. Bydžovský , R. Kamiński , V. Nazari

A reliable determination of the pole parameters and residues of nucleon resonances is notoriously challenging, given the required analytic continuation into the complex plane. We provide a comprehensive analysis of such resonance parameters…

High Energy Physics - Phenomenology · Physics 2024-05-13 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

Starting from hyperbolic dispersion relations, we present a system of Roy--Steiner equations for pion Compton scattering that respects analyticity and unitarity requirements, gauge invariance, as well as crossing symmetry, and thus all…

High Energy Physics - Phenomenology · Physics 2011-08-25 Martin Hoferichter , Daniel R. Phillips , Carlos Schat

The potential of performing a combined analysis of the strangeness-changing decays $\tau^{-}\to K_{S}\pi^{-}\nu_{\tau}$ and $\tau^{-}\to K^{-}\eta\nu_{\tau}$ for unveiling the $K^{*}(1410)$ resonance pole parameters is illustrated. Our…

High Energy Physics - Phenomenology · Physics 2016-02-17 Sergi González-Solís

We review how the use of recent precise data on kaon decays together with forward dispersion relations (FDR) and Roy's equations allow us to determine the sigma resonance pole position very precisely, by using only experimental input. In…

High Energy Physics - Phenomenology · Physics 2009-11-13 R. Garcia-Martin , R. Kaminski , J. R. Pelaez

We present results from a comprehensive partial-wave analysis of pi+-p elastic scattering and charge-exchange data, covering the region from threshold to 2.6 GeV in the lab pion kinetic energy, employing a coupled-channel formalism to…

Nuclear Theory · Physics 2009-09-29 R. A. Arndt , W. J. Briscoe , I. I. Strakovsky , R. L. Workman

Using two flavors of maximally twisted mass fermions, we calculate the S-wave pion-pion scattering length in the isospin I=2 channel and the P-wave pion-pion scattering phase in the isospin I=1 channel. In the former channel, the lattice…

High Energy Physics - Lattice · Physics 2010-11-25 Xu Feng , Karl Jansen , Dru B. Renner
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