Phenomenology of isospin-symmetry breaking with vector mesons

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Main Authors: Kovács, Péter, Wolf, György, Weickgenannt, Nora, Rischke, Dirk H.
Format: Preprint
Published: 2024
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author Kovács, Péter
Wolf, György
Weickgenannt, Nora
Rischke, Dirk H.
author_facet Kovács, Péter
Wolf, György
Weickgenannt, Nora
Rischke, Dirk H.
contents We study the effect of isospin-symmetry breaking in the framework of the extended Linear Sigma Model (eLSM) in vacuum. In this model, several particles mix with each other at tree level, due to the three non-zero scalar condensates (non-strange, 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 $χ^2$ fit to PDG data. A very good fit is found if we exclude the (very small $\sim 130$~keV) $ω\to ππ$ decay. We also investigate the violation of Dashen's theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2401_04527
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phenomenology of isospin-symmetry breaking with vector mesons
Kovács, Péter
Wolf, György
Weickgenannt, Nora
Rischke, Dirk H.
High Energy Physics - Phenomenology
We study the effect of isospin-symmetry breaking in the framework of the extended Linear Sigma Model (eLSM) in vacuum. In this model, several particles mix with each other at tree level, due to the three non-zero scalar condensates (non-strange, 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 $χ^2$ fit to PDG data. A very good fit is found if we exclude the (very small $\sim 130$~keV) $ω\to ππ$ decay. We also investigate the violation of Dashen's theorem.
title Phenomenology of isospin-symmetry breaking with vector mesons
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2401.04527