1. Quasi-two-body decays $B\to P f_0(500)\to P\pi^+\pi^-$ in the perturbative QCD approach
- Author
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Zhang, Jia-Wei, Cui, Bo-Yan, Wu, Xing-Gang, Fu, Hai-Bing, and Chen, Ya-Hui
- Subjects
High Energy Physics - Phenomenology - Abstract
In this paper, we study the quasi-two-body decays $B\to P f_0(500)\to P\pi^+\pi^-$ (with $P=(\pi, K, \eta, \eta^{\prime})$) within framework of perturbative QCD (PQCD) factorization approach. With the help of $\pi$-$\pi$ distribution amplitude and scalar form factor $F_{\pi\pi}(\omega^2)$, we calculate the CP averaged branching fraction and the CP asymmetry for the quasi-two-body decays $B\to P f_0(500)\to P\pi^+\pi^-$. Taking the quasi-two-body decay $B^+ \to \pi^+ f_0(500) \to \pi^+ \pi^+ \pi^-$ as an explicit example, we present the behaviour of differential branching fraction and direct CP violation versus the $\pi$-$\pi$ invariant mass. The total branching fraction and direct CP violation are $\mathcal{B}(B^+\to \pi^+ [\sigma\to]\pi^+\pi^-) = (1.78 \pm 0.41\pm 0.51) \times 10^{-6}$ and $\mathcal{A}_{\rm CP}(B^+\to \pi^+ [\sigma\to]\pi^+\pi^-) = (29.8\pm 11.1\pm 13.0)\%$ respectively. Our results could be tested by further experiments., Comment: 15 pages, 3 figures, comments welcome
- Published
- 2024