Quasi-two-body decays $B_{(s)}\to P\rho^\prime(1450), P\rho^{\prime\prime}(1700)\to P\pi\pi$ in the perturbative QCD approach

In this work, we calculate the CP-averaged branching ratios and direct CP-violating asymmetries of the quasi-two-body decays B(s)→Pρ′(1450),Pρ′′(1700)→Pππ by employing the perturbative QCD (PQCD) factorization approach, where P is a light pseudoscalar meson K, π, η, and η′. The considered decay modes are studied in the quasi-two-body framework by parametrizing the two-pion distribution amplitude ΦππP. The P-wave timelike form factor Fπ in the resonant regions associated with the ρ′(1450) and ρ′′(1700) is estimated based on available experimental data. The PQCD predictions for the CP-averaged branching ratios of the decays B(s)→Pρ′(1450),Pρ′′(1700)→Pππ are in the order of 10-7−10-9. The branching ratios of the two-body decays B(s)→Pρ′(1450),Pρ′′(1700) are extracted from the corresponding quasi-two-body decay modes. The whole pattern of the squared pion form factor |Fπ|2 measured by BABAR Collaboration could also be understood based on our studies. The PQCD predictions in this work will be tested by the precise data from the LHCb and the future Belle II experiments.

Note:

8 pages, 1 figure

quantum chromodynamics: perturbation theory
quantum chromodynamics: factorization
B: branching ratio
B: decay modes
two-pion
distribution amplitude
pseudoscalar meson
pi: form factor
asymmetry
BELLE

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Quasi-two-body decays B(s)→Pρ′(1450),Pρ′′(1700)→PππB_{(s)}\to P\rho^\prime(1450), P\rho^{\prime\prime}(1700)\to P\pi\piB(s)​→Pρ′(1450),Pρ′′(1700)→Pππ in the perturbative QCD approach

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Quasi-two-body decays $B_{(s)}\to P\rho^\prime(1450), P\rho^{\prime\prime}(1700)\to P\pi\pi$ in the perturbative QCD approach