Phenomenology of isospin-symmetry breaking with vector mesons

Author:

Kovács Péter1ORCID,Wolf György1ORCID,Weickgenannt Nora2,Rischke Dirk H.3ORCID

Affiliation:

1. Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, 1121 Budapest, Hungary

2. Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS, F-91191 Gif-sur-Yvette, France and Institute for Theoretical Physics, Goethe University, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany

3. Institute for Theoretical Physics, Goethe University, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany and Helmholtz Research Academy Hesse for FAIR, Campus Riedberg, Max-von-Laue-Strasse 12, D-60438 Frankfurt am Main, Germany

Abstract

We study the effect of isospin-symmetry breaking in the framework of the extended linear σ model in vacuum. In this model, several particles mix with each other at tree level, due to the three nonzero scalar condensates (nonstrange, strange, isospin). We resolve these mixings with the help of various field transformations. We compute all possible meson mixings and decay widths at tree level and perform a χ2 fit to PDG data. A very good fit is found if we exclude the (very small 130keV) ωππ decay. We also investigate the violation of Dashen’s theorem. Published by the American Physical Society 2024

Funder

National Research, Development and Innovation Office

Deutsche Akademie der Naturforscher Leopoldina—Nationale Akademie der Wissenschaften

Wigner Scientific Computational Laboratory

Publisher

American Physical Society (APS)

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