The role and contribution of resonance effect for the decay process of $\bar B^{0}_s \rightarrow π^{+}π^{-}P$

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Autores principales: Yuan, Xi-Liang, Wang, Chao, Bai, Zhuang-Dong, Lü, Gang
Formato: Preprint
Publicado: 2025
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author Yuan, Xi-Liang
Wang, Chao
Bai, Zhuang-Dong
Lü, Gang
author_facet Yuan, Xi-Liang
Wang, Chao
Bai, Zhuang-Dong
Lü, Gang
contents The size of the direct CP asymmetry generated during the weak decay of hadrons is attributed to the weak phase and some strong phases. The weak phase comes from the CKM matrix and a strong phase may result from the resonance effect which is produced by the mixing of vector meson $V\left\{ρ^{0}(770),ω(782),ϕ(1020)\right\}$ to $π^+ π^-$ meson pairs. $ρ^{0}(770)$ can decay directly into $π^+ π^-$ meson pairs, both $ω(782)$ and $ϕ(1020)$ can also decay into $π^+ π^-$ meson pairs with small contribution from isospin symmetry breaking. The main contribution for the middle state vector meson $ρ^{0}(770)-ω(782)-ϕ(1020)$ interference is the mix of $ρ^{0}(770)$, $ω(782)-ρ^{0}(770)$ and $ϕ(1020)-ρ^{0}(770)$. We calculate the CP asymmetry and decay branching ratio for $\bar{B}^0_{s} \rightarrow π^+ π^- π^0 (\bar K ^{0})$ in the framework of QCD factorization and compare them with previous work. We also add the analysis of $\bar{B}^0_{s} \rightarrow π^+ π^- η(η^{(')})$ decay process. The results show that the CP asymmetry of these four decay processes are significantly enhanced especially for the $\bar{B}^0_{s} \rightarrow π^+ π^- \bar K ^{0}$ decay process and the decay branching ratio also changes under resonance effect. These work might provide support for the experimental analysis of the $\bar B^{0}_s$ meson.
format Preprint
id arxiv_https___arxiv_org_abs_2504_16466
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The role and contribution of resonance effect for the decay process of $\bar B^{0}_s \rightarrow π^{+}π^{-}P$
Yuan, Xi-Liang
Wang, Chao
Bai, Zhuang-Dong
Lü, Gang
High Energy Physics - Phenomenology
The size of the direct CP asymmetry generated during the weak decay of hadrons is attributed to the weak phase and some strong phases. The weak phase comes from the CKM matrix and a strong phase may result from the resonance effect which is produced by the mixing of vector meson $V\left\{ρ^{0}(770),ω(782),ϕ(1020)\right\}$ to $π^+ π^-$ meson pairs. $ρ^{0}(770)$ can decay directly into $π^+ π^-$ meson pairs, both $ω(782)$ and $ϕ(1020)$ can also decay into $π^+ π^-$ meson pairs with small contribution from isospin symmetry breaking. The main contribution for the middle state vector meson $ρ^{0}(770)-ω(782)-ϕ(1020)$ interference is the mix of $ρ^{0}(770)$, $ω(782)-ρ^{0}(770)$ and $ϕ(1020)-ρ^{0}(770)$. We calculate the CP asymmetry and decay branching ratio for $\bar{B}^0_{s} \rightarrow π^+ π^- π^0 (\bar K ^{0})$ in the framework of QCD factorization and compare them with previous work. We also add the analysis of $\bar{B}^0_{s} \rightarrow π^+ π^- η(η^{(')})$ decay process. The results show that the CP asymmetry of these four decay processes are significantly enhanced especially for the $\bar{B}^0_{s} \rightarrow π^+ π^- \bar K ^{0}$ decay process and the decay branching ratio also changes under resonance effect. These work might provide support for the experimental analysis of the $\bar B^{0}_s$ meson.
title The role and contribution of resonance effect for the decay process of $\bar B^{0}_s \rightarrow π^{+}π^{-}P$
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.16466