Quasi-two-body decays B(s)→Pρ′(1450),Pρ′′(1700)→Pππ in the perturbative QCD approach

• DOI: 10.1103/physrevd.96.036014
• Publication Date: 2017-08-29T10:15:16Z
• Authors: Ya Li; Ai-Jun Ma; Wen-Fei Wang; Zhen-Jun Xiao
• Keywords: Branching fraction; Perturbative QCD; Pseudoscalar meson

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