Semileptonic $\Lambda_{b}\rightarrow \Lambda_{c}{\ell}\bar\nu_{\ell}$ Transition in Full QCD

Understand

The tree-level $b\rightarrow c{\ell}\bar\nu_{\ell}$ based hadronic transitions have been on the focus of much attention since recording significant deviations of the experimental data, on the ratios of the branching fractions in $ \tau $ and $ e-\mu $ channels of the semileptonic $ B \rightarrow D $ transition, from the SM predictions by BaBar Collaboration in 2012.

• It can be of great importance to look whether similar discrepancies take place in the semileptonic baryonic $\Lambda_{b}\rightarrow \Lambda_{c}{\ell}\bar\nu_{\ell}$ decay channel or not.
• In this accordance we estimate the decay width as well as the ratios of the branching fractions in $ \tau $ and $ e-\mu $ channels of this baryonic transition by calculating the form factors, entering the amplitude of this transition as the main inputs, in the framework of QCD sum rules in full theory.
• We compare the obtained results with the predictions of other theoretical studies.