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

## TL;DR

This paper calculates the form factors and branching ratio of the $ ext{Lambda}_b o N^* ext{l}^+ ext{l}^-$ decay using light cone QCD sum rules, predicting a measurable decay rate at LHCb.

## Contribution

It introduces a method to eliminate negative parity baryon contributions and provides the first detailed calculation of the decay's form factors and branching ratio.

## Key findings

- Branching ratio is predicted to be large and measurable.
- Method successfully isolates the desired decay contributions.
- Results support potential observation at LHCb.

## Abstract

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.