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arXiv 1906.09387hep-ph
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准二体衰变$B_{(s)} \to P D_0^*(2400) \to P D π$的微扰QCD方法

Quasi-two-body decays $B_{(s)} \to P D_0^*(2400) \to P D π$ in the perturbative QCD approach

Bo-Yan Cui, Ying-Ying Fan, Fu-Hu Liu, Wen-Fei Wang

摘要:

用微扰QCD因式分解方法研究了准二体衰变$B\to P D^{\ast}_0(2400) \to P Dπ$和$P=(π, K, η, η^{\prime})$。所考虑衰变的预测分支分数在$10^{-9}$ - $10^{-4}$范围内。强的Cabibbo-Kobayashi-Maskawa(CKM)抑制因子$R_{CKM}\approx λ^4 (\barρ^2 + \barη^2) \approx 3\times 10^{-4}$导致以$D_0^*$和$\bar{D}_0^*$为中间态的衰变分支比有很大的差异。衰变$B^0 \to \bar{D}_0^{*0} K^0\to D^-π^+K^0$和$B^0 \to \bar{D}_0^{*0}π^0 \to D^-π^+π^0$之间的比率$R_{\bar{D}_0^{*0}}$约为$0.091^{+0.003}_{-0.005}$,与味道- $SU$(3)对称性结果一致。发现$\mathcal{B}(B_s^0\to D_0^{*+}K^-\to D^0π^+K^-)$和$\mathcal{B}(B^0\to D_0^{*+} π^-\to D^0π^+ π^-)$之间的支化分数比为$1.10^{+0.05}_{-0.02}$,$\mathcal{B}(B_s^0\to\bar{D}_0^{*0} \bar{K}^0\to D^-π^+ \bar{K}^0)$和$2\mathcal{B}(B^0\to \bar{D}_0^{*0}π^0\to D^-π^+π^0)$之间的支化分数比为$1.03^{+0.06}_{-0.07}$。本工作中的预测可以通过未来的实验进行验证。

英文摘要:

We study the quasi-two-body decays $B\to P D^{\ast}_0(2400) \to P Dπ$ with $P=(π, K, η, η^{\prime})$ in the perturbative QCD factorization approach. The predicted branching fractions for the considered decays are in the range of $10^{-9}$-$10^{-4}$. The strong Cabibbo-Kobayashi-Maskawa (CKM) suppression factor $R_{CKM}\approx λ^4 (\barρ^2 + \barη^2) \approx 3\times 10^{-4}$ results in the great difference of the branching ratios for the decays with $D_0^*$ and $\bar{D}_0^*$ as the intermediate states. The ratio $R_{\bar{D}_0^{*0}}$ between the decays $B^0 \to \bar{D}_0^{*0} K^0\to D^-π^+K^0$ and $B^0 \to \bar{D}_0^{*0}π^0 \to D^-π^+π^0$ is about $0.091^{+0.003}_{-0.005}$, consistent with the flavour-$SU$(3) symmetry result. The ratio for the branching fractions is found to be $1.10^{+0.05}_{-0.02}$ between $\mathcal{B}(B_s^0\to D_0^{*+}K^-\to D^0π^+K^-)$ and $\mathcal{B}(B^0\to D_0^{*+} π^-\to D^0π^+ π^-)$ and to be $1.03^{+0.06}_{-0.07}$ between $\mathcal{B}(B_s^0\to\bar{D}_0^{*0} \bar{K}^0\to D^-π^+ \bar{K}^0)$ and $2\mathcal{B}(B^0\to \bar{D}_0^{*0}π^0\to D^-π^+π^0)$. The predictions in this work can be tested by the future experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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