The semi-leptonic form factors of $$\Lambda _{b}\rightarrow \Lambda _{c}$$ Λ b → Λ c and $$\Xi _{b}\rightarrow \Xi _{c}$$ Ξ b → Ξ c in QCD sum rules

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2020-12, Vol.80 (12), p.1-11
• Main Authors: Zhen-Xing Zhao, Run-Hui Li, Yue-Long Shen, Yu-Ji Shi, Yan-Sheng Yang
• Format: Article
• Language: English
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-08767-1

Abstract In this work, the full leading order results of the form factors for $$\Xi _{b}\rightarrow \Xi _{c}$$ Ξ b → Ξ c and $$\Lambda _{b}\rightarrow \Lambda _{c}$$ Λ b → Λ c are obtained in QCD sum rules. Contributions from up to dimension-5 have been considered. For completeness, we also study the two-point correlation function to obtain the pole residues of $$\Xi _{Q}$$ Ξ Q and $$\Lambda _{Q}$$ Λ Q , and higher accuracy is achieved. For the three-point correlation function, since stable Borel regions cannot be found, about $$20\%$$ 20 % uncertainties are introduced for the form factors of $$\Xi _{b}\rightarrow \Xi _{c}$$ Ξ b → Ξ c and $$\Lambda _{b}\rightarrow \Lambda _{c}$$ Λ b → Λ c . Our results for the form factors are consistent with those of the lattice QCD within errors.