The resonance effect for the CP asymmetry associated with the process $ω\rightarrow π^{+}π^{-}π^{0}$

Fuente: arXiv
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Main Authors: Yuan, Xi-Liang, Lü, Gang
Format: Preprint
Published: 2024
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author Yuan, Xi-Liang
Lü, Gang
author_facet Yuan, Xi-Liang
Lü, Gang
contents The direct CP asymmetry in the weak decay process of hadrons is commonly attributed to the weak phase of the CKM matrix and the indeterminate strong phase. We propose a way of creating a strong phase difference between two decay paths involving vector mesons $V= ω,ρ$ decaying to $π^{+}π^{-}π^{0}$ considering the G-parity suppressed decay process $ρ^{0} \rightarrow π^{+}π^{-}π^{0} $. It can lead to a significant CP asymmetry in the interference region. We consider the effects of $ω$ and $ρ$ mixing on their decays to $π^{+}π^{-}π^{0}$. Meanwhile, we calculate the CP asymmetry for the process $B\rightarrow π^{+}π^{-}π^{0}P$ (P refers to pseudoscalar meson) through $ω(ρ) \rightarrow π^{+}π^{-}π^{0}$. Besides, we also calculate the integral results of different phase space regions. We hope that our work can help provide some theoretical guidance for future experimental studies of CP asymmetry in these decays.
format Preprint
id arxiv_https___arxiv_org_abs_2404_01665
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The resonance effect for the CP asymmetry associated with the process $ω\rightarrow π^{+}π^{-}π^{0}$
Yuan, Xi-Liang
Lü, Gang
High Energy Physics - Phenomenology
The direct CP asymmetry in the weak decay process of hadrons is commonly attributed to the weak phase of the CKM matrix and the indeterminate strong phase. We propose a way of creating a strong phase difference between two decay paths involving vector mesons $V= ω,ρ$ decaying to $π^{+}π^{-}π^{0}$ considering the G-parity suppressed decay process $ρ^{0} \rightarrow π^{+}π^{-}π^{0} $. It can lead to a significant CP asymmetry in the interference region. We consider the effects of $ω$ and $ρ$ mixing on their decays to $π^{+}π^{-}π^{0}$. Meanwhile, we calculate the CP asymmetry for the process $B\rightarrow π^{+}π^{-}π^{0}P$ (P refers to pseudoscalar meson) through $ω(ρ) \rightarrow π^{+}π^{-}π^{0}$. Besides, we also calculate the integral results of different phase space regions. We hope that our work can help provide some theoretical guidance for future experimental studies of CP asymmetry in these decays.
title The resonance effect for the CP asymmetry associated with the process $ω\rightarrow π^{+}π^{-}π^{0}$
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2404.01665