Systematic analysis of decays in perturbative QCD approach

Zhi-Tian Zou; Zhao-Xu He; Ya-Xin Wang; Ying Li

doi:10.1140/epjc/s10052-025-14008-0

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 293
https://doi.org/10.1140/epjc/s10052-025-14008-0

Regular Article - Theoretical Physics

Systematic analysis of $B_{s} \to S P$ $B_s \rightarrow SP$ decays in perturbative QCD approach

Zhi-Tian Zou, Zhao-Xu He, Ya-Xin Wang and Ying Li^a

Department of Physics, Yantai University, 264005, Yantai, China

^a liying@ytu.edu.cn

Received: 6 February 2025
Accepted: 24 February 2025
Published online: 13 March 2025

Abstract

Within the perturbative QCD (PQCD) framework, we present a systematic investigation of charmless $B_{s} \to S P$ $B_s \rightarrow SP$ decays, where S and P denote scalar and pseudoscalar mesons, respectively. By employing two distinct structural scenarios for scalar mesons, we calculate the branching fractions and direct CP asymmetries for these processes. Our results reveal branching fractions ranging from $10^{- 7}$ $10^{-7}$ to $10^{- 5},$ $10^{-5},$ values that are well within the measurable range of current experiments. A striking contrast emerges between penguin- and tree-dominated decays: while penguin-dominated processes yield larger branching fractions, tree-dominated decays exhibit significantly enhanced direct CP asymmetries. In particular, the decays $B_{s} \to f_{0} (1370) η$ $B_s \rightarrow f_0(1370) \eta$ and $B_{s} \to a_{0} (1450) K$ $B_s \rightarrow a_0(1450) K$ demonstrate marked sensitivity to the choice of scalar meson scenario, offering critical constraints for identifying the optimal model once experimental data are available. Furthermore, we calculate the branching fractions of $B_{s} \to f_{0} (980) (σ) P$ $B_s \rightarrow f_0(980)(\sigma )P$ decays in two distinct ranges of the mixing angle of $f_{0} (980) - σ .$ $f_0(980)-\sigma .$ The dependencies of both branching fractions and CP asymmetries on this mixing angle are rigorously analyzed, establishing a framework essential for determining its value with future experimental results. These findings provide a robust theoretical foundation for advancing the understanding of nonleptonic $B_{s}$ $$B_s$$ decays in QCD-based formalisms, as well as the nature of scalar mesons.

© The Author(s) 2025

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