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

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.