Investigation of the semileptonic decays $ {\mathrm{\Xi }}_{b}^{{(}^{\prime })}\to {\mathrm{\Xi }}_{c}^{{(}^{\prime })}\ell {\overline{\nu }}_{\ell }$

We study the semileptonic decays of $ {\mathrm{\Xi }}_{b}^{{(}^{\prime })}\to {\mathrm{\Xi }}_{c}^{{(}^{\prime })}\ell {\overline{\nu }}_{\ell }$ in all lepton channels. To do this, we first obtain the form factors defining these decay modes within the framework of QCD sum rules. Then, using the transition form factors, we compute the decay widths and branching fractions for all lepton channels and compare the results of our calculations with those obtained from other theoretical methods. We also estimate the branching ratios and the ratio of branching fractions at different leptonic channels to provide useful information for future experiments may be planned at different colliders. Such comparison will provide valuable information about the consistency/inconsistency of the Standard Model theory predictions with experimental data in weak semileptonic single heavy baryon decays.