Study of the $Lambda_{b} to N^ast ell^+ ell^- $ decay in light cone sum rules

The form factors of the $Lambda_{b} to N^ast ell^+ ell^-$ decay are calculated in the framework of the light cone QCD sum rules. In the calculations the contribution of the negative parity $Lambda_b^ast$ baryon is eliminated by constructing the sum rules for different Lorentz structures. Furthermore the branching ratio of the semileptonic $Lambda_b to N^ast ell^+ ell^-$ decay is calculated. The numerical study for the branching ratio of the $Lambda_{b} to N^ast ell^+ ell^-$ decay indicates that it is quite large and could be measurable at future planned experiments to be conducted at LHCb.