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arXiv 1402.6052hep-phhep-ex
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因子分解方法中$\overline B^0\to K^0(\overline K^0) K^\mpπ^\pm$衰变的综合研究

Comprehensive Study of $\overline B^0\to K^0(\overline K^0) K^\mpπ^\pm$ Decays in the Factorization Approach

Ying Li

摘要:

使用因式分解的方法,我们调查的$\overline B^0 \to \overline K^0K^+π^-$和$\overline B^0 \to K^0K^-π^+$衰减分别包括共振和非共振的贡献。在味SU(3)对称性下,我们得到了总分支分数$BR [\overline B^0 \to (\overline K^0K^+π^-+K^0K^-π^+)]=(7.17^{+0.50+1.97+0.08}_{-0.53-1.42-0.07})\times 10^{-6}$,它与BaBar和LHCb最近的测量结果在误差范围内一致.对于衰变$\overline B^0 \to \overline K^0K^+π^-$,非共振背景和电流诱导过程中的$a_0^+(1450)$极提供了很大的贡献,后者在以前的研究中没有被包括在内。相反,衰变$\overline B^0 \to K^0K^-π^+$主要由非共振背景和离壳$ρ^-$极点控制。当考虑味SU(3)对称性破缺和末态再散射两种不同的情况下,结果也可以容纳具有较大不确定性的实验数据。此外,发现$\overline B^0 \to \overline K^0K^+π^-$的直接$CP$不对称性对标量密度的矩阵元敏感。这些预测可以在未来的LHCb实验或Super-b工厂中进一步测试。

英文摘要:

Using the factorization approach, we investigate the $\overline B^0 \to \overline K^0K^+π^-$ and $\overline B^0 \to K^0K^-π^+$ decays individually including the resonant and nonresonant contributions. Under the flavor SU(3) symmetry, we obtain the total branching fraction $BR [\overline B^0 \to (\overline K^0K^+π^-+K^0K^-π^+)]=(7.17^{+0.50+1.97+0.08}_{-0.53-1.42-0.07})\times 10^{-6}$, which is in agreement with the recent measurements of BaBar and LHCb within errors. For the decay $\overline B^0 \to \overline K^0K^+π^-$, the nonresonant background and $a_0^+(1450)$ pole in the current-induced process provide large contribution, the latter of which has not been included in previous studies. On the contrary,the decay $\overline B^0 \to K^0K^-π^+$ is dominated by the nonresonant background and the offshell $ρ^-$ pole. When the flavor SU(3) symmetry breaking and the final-state rescattering are considered under two different scenarios, the results can also accommodate the experimental data with large uncertainties. Moreover, the direct $CP$ asymmetry of $\overline B^0 \to \overline K^0K^+π^-$ is found to be sensitive to the matrix element of scalar density. These predictions could be further tested in the LHCb experiment or Super-b factory in future.

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