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arXiv 2103.09436hep-phhep-ex
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QCD求和规则中Ξ_{c}→Ξ的半轻子形状因子

Semi-leptonic form factors of $Ξ_{c}\toΞ$ in QCD sum rules

Zhen-Xing Zhao, Xiao-Yu Sun, Fu-Wei Zhang, Yi-Peng Xing, Ya-Ting Yang

AI总结:

本文利用QCD求和规则计算Ξ_{c}→Ξ半轻子衰变的形状因子,所得结果与格点QCD基本一致,并成功预言了与ALICE和Belle最新数据相符的分支比,同时建议实验直接测量形状因子以解决现有偏差。

摘要:

最近的格点QCD模拟与Belle实验对Ξ_{c}^{0}→Ξ^{-}ℓ^{+}ν_{ℓ}的测量之间存在显著偏差。本工作利用QCD求和规则研究Ξ_{c}→Ξ的形状因子。为此,我们计算了Ξ_{c}和Ξ的两点关联函数以及Ξ_{c}→Ξ的三点关联函数。在QCD层面,考虑了直至量纲-6的四夸克算符的贡献,并得到了威尔逊系数的领头阶结果。对于形状因子,可以找到相对稳定的Borel窗口。除f_{\perp}外,我们得到的形状因子与格点QCD的结果相当。随后利用所得形状因子预言了Ξ_{c}→Ξℓ^{+}ν_{ℓ}的分支比,我们的预言与ALICE和Belle的最新数据以及格点QCD的结果在误差范围内一致。鉴于分支比所包含的信息有限,我们建议实验学家直接测量Ξ_{c}→Ξ的形状因子。

英文摘要:

There exists a significant deviation between the most recent Lattice QCD simulation and experimental measurement by Belle for $Ξ_{c}^{0}\toΞ^{-}\ell^{+}ν_{\ell}$. In this work, we investigate the $Ξ_{c}\toΞ$ form factors in QCD sum rules. To this end, the two-point correlation functions of $Ξ_{c}$ and $Ξ$, and the three-point correlation functions of $Ξ_{c}\toΞ$ are calculated. At the QCD level, contributions from up to dimension-6 four-quark operators are considered, and the leading order results of the Wilson coefficients are obtained. For the form factors, relatively stable Borel windows can be found. Our form factors are comparable with those of Lattice QCD, except for $f_{\perp}$. The obtained form factors are then used to predict the branching ratios of $Ξ_{c}\toΞ\ell^{+}ν_{\ell}$, and our predictions are consistent with the most recent data of ALICE and Belle, and those of Lattice QCD within error. Given that the branching ratios only contain limited information, we suggest the experimentalists directly measure the form factors of $Ξ_{c}\toΞ$.

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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