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北美退伍军人节(Veterans Day),12 日无更新
arXiv 1509.04596hep-ph
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$B \to a_0 a_0$衰变中不可因式分解的大贡献

Large non-factorizable contributions in $B \to a_0 a_0$ decays

Defa Dou, Xin Liu, Jing-Wu Li, Zhen-Jun Xiao

摘要:

在标准模型下,首次采用微扰QCD(pQCD)方法研究了三个树支配的$B \to a_0 a_0$衰变,其中$a_0$代表轻标量$a_0(980)$态,它是基于传统的双夸克$(q\bar q)$结构模型假设的介子.用pQCD方法计算了费曼图的所有拓扑结构,如不可因式分解的旁观图和湮灭图。我们非常感兴趣地发现,与已知的$B \to ππ$衰变相反,$B \to a_0 a_0$衰变受大的不可因式分解贡献的支配,这导致了$10^{-6} \sim 10^{-5}$量级的大的$B \to a_0 a_0$衰变率,尽管$B \to a_0 a_0$介子具有极小的矢量衰变常数$f_{a_0}$。对于$B^0 \to a_0^0 a_0^0$和$a_0^+ a_0^-$模式,还观察到$15\%$和$30\%$周围的大的直接CP违反不对称性。这些相当大的预测可以很容易地在运行中的大型强子对撞机和不久的将来的超级B/Belle-II实验中进行检验。未来的精确测量结合这些pQCD预测可能有助于探索复杂的QCD动力学和光标量$a_0$的内部结构,以及补充约束幺正角$α$。

英文摘要:

We investigate three tree-dominated $B \to a_0 a_0$ decays for the first time in the perturbative QCD(pQCD) approach at leading order in the standard model, with $a_0$ standing for the light scalar $a_0(980)$ state, which is assumed as a meson based on the model of conventional two-quark$(q\bar q)$ structure. All the topologies of the Feynman diagrams such as the non-factorizable spectator ones and the annihilation ones are calculated in the pQCD approach. It is of great interest to find that, contrary to the known $B \to ππ$ decays, the $B \to a_0 a_0$ decays are governed by the large non-factorizable contributions, which give rise to the large $B \to a_0 a_0$ decay rates in the order of $10^{-6} \sim 10^{-5}$, although the $a_0$ meson has an extremely small vector decay constant $f_{a_0}$. Also observed are large direct CP-violating asymmetries around $15\%$ and $30\%$ for the $B^0 \to a_0^0 a_0^0$ and $a_0^+ a_0^-$ modes. These sizable predictions could be easily examined at the running Large Hadron Collider and the near future Super-B/Belle-II experiments. The future precision measurements combined with these pQCD predictions might be helpful to explore the complicated QCD dynamics and the inner structure of the light scalar $a_0$, as well as to complementarily constrain the unitary angle $α$.

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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