2024/04/30 by Da-Cheng Yan, Yan Yan, Yan, Da-Cheng +3
Medicine · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Medical Imaging Techniques and Applications #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2404.19198
openalex publication_date 2024/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we investigate six helicity amplitudes of the four-body B(s) → (ππ)(KK) decays in the perturbative QCD (PQCD) approach. The ππ invariant mass spectrum is dominated by the vector resonance ρ(770) together with scalar resonance f0(980), while the vector resonance ϕ(1020) and scalar resonance f0(980) are expected to contribute in the KK invariant mass range. We extract the two-body branching ratios \cal B(B(s)→ ρϕ) from the corresponding four-body decays B(s)→ ρϕ→ (ππ)(K K). The predicted \cal B(B0s→ ρϕ) agrees well with the current experimental data within errors. The longitudinal polarization fractions of the B(s)→ ρϕ decays are found to be as large as 90%, basically consistent with the previous two-body predictions within uncertainties. In addition, the triple-product asymmetries (TPAs) of the considered decays are also presented for the first time. Since the Bs0→ ρ0ϕ→(π+π-)(K+K-) decay is induced by both tree and penguin operators, the values of the \cal A\rm CP\rm dir and \cal A1T-true are calculated to be (21.8+2.7-3.3)% and (-10.23+1.73-1.56)% respectively. While for pure penguin decays B0→ ρ0ϕ→(π+π-)(K+K-) and B+→ ρ+ϕ→(π+π0)(K+K-), both the direct CP asymmetries and ``true" TPAs are naturally expected to be zero in the standard model (SM). The ``fake" TPAs requiring no weak phase difference are usually none zero for all considered decay channels. The sizable ``fake" \cal A1T-fake=(-20.92+6.26-2.80)% of the B0→ ρ0ϕ→(π+π-)(K+K-) decay is predicted in the PQCD approach, which provides valuable information on the final-state interactions.Our predictions can be tested by the future experiments.