https://doi.org/10.1140/epjc/s10052-025-14692-y
Regular Article - Theoretical Physics
Study of 
final states from four-body decay of 
meson under perturbative QCD
1
College of Physics, Henan University of Technology, 450001, Zhengzhou, China
2
College of Nuclear Science and Technology, Beijing Normal University, 100875, Beijing, China
Received:
25
March
2025
Accepted:
29
August
2025
Published online:
8
September
2025
In the perturbative QCD framework, we use the quasi-two-body method to study the CP violations and branching ratios in the ![$${\bar{B}}_{s} \rightarrow [\phi (\rho ^{0},\omega )\rightarrow K^{+}K^{-}][K^{*0}\rightarrow K^{+}\pi ^{-}]$$](/articles/epjc/abs/2025/09/10052_2025_Article_14692/10052_2025_Article_14692_tex_eq5.png)
and ![$${\bar{B}}_{s} \rightarrow [\rho ^{0}(\omega ,\phi )\rightarrow (\pi ^{+}\pi ^{-})][K^{*0}\rightarrow K^{+}\pi ^{-}]$$](/articles/epjc/abs/2025/09/10052_2025_Article_14692/10052_2025_Article_14692_tex_eq6.png)
decay processes. Owing to the interference effects of 
, 
, and 
, new strong phases associated with vector mesons will be generated, resulting in relatively large CP violation within the interference region. Moreover, we provide numerical comparisons of CP violation from resonance effects and non-resonance contributions. In order to provide better theoretical predictions for future experiments, we integrate CP violation over invariant mass to obtain the regional CP violation value. Furthermore, we have calculated the polarization fractions and branching ratios for different intermediate states in the four-body decay process, which may be influenced by vector interference effects. Additionally, this study may provide valuable reference for the future exploration of the LHC experiment.
© The Author(s) 2025
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Funded by SCOAP3.
