Quasi-two-body decays $B\to P f_0(500)\to P\pi^+\pi^-$ in the perturbative QCD approach
| Autor: | Zhang, Jia-Wei, Cui, Bo-Yan, Wu, Xing-Gang, Fu, Hai-Bing, Chen, Ya-Hui |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 110, 036015 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.110.036015 |
| Popis: | 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 behavior 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 $\mathcal{A}_{CP}(B^+\to \pi^+ [\sigma\to]\pi^+\pi^-) = (29.8\pm 11.1\pm 13.0)\%$ respectively. Our results could be tested by further experiments. Comment: 15 pages, 3 figures, matches published version |
| Databáze: | arXiv |
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