论文标题

$λ_{b} \toλ_{c} $和$ξ_{b} \to葱_ {c} $ in qcd和

The semi-leptonic form factors of $Λ_{b}\toΛ_{c}$ and $Ξ_{b}\toΞ_{c}$ in QCD sum rules

论文作者

Zhao, Zhen-Xing, Li, Run-Hui, Shen, Yue-Long, Shi, Yu-Ji, Yang, Yan-Sheng

论文摘要

在这项工作中,$ξ_{b} \toξ_{c} $和$λ_{b} \toλ_{c} $的完整领先顺序结果是在qcd sum规则中获得的。已经考虑了从DIM-5到DIM-5的贡献。为了完整性,我们还研究了两点相关函数,以获得$ξ_{q} $和$λ_{q} $的极点残基,并实现了更高的精度。对于三点相关函数,由于找不到稳定的鲍雷尔区域,因此引入了$ 20 \%$的不确定性,以$ξ_{b} \toξ_{c} $和$λ_{b} \toλ_{c} $的形式。我们对形式因素的结果与误差内晶格QCD的结果一致。

In this work, the full leading order results of the form factors for $Ξ_{b}\toΞ_{c}$ and $Λ_{b}\toΛ_{c}$ are obtained in QCD sum rules. Contributions from up to dim-5 have been considered. For completeness, we also study the two-point correlation function to obtain the pole residues of $Ξ_{Q}$ and $Λ_{Q}$, and higher accuracy is achieved. For the three-point correlation function, since stable Borel regions can not be found, about $20\%$ uncertainties are introduced for the form factors of $Ξ_{b}\toΞ_{c}$ and $Λ_{b}\toΛ_{c}$. Our results for the form factors are consistent with those of the Lattice QCD within errors.

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