Transition form factors of the $\hat{I}{›}_b\to \hat{I}›(1520)$ in QCD light-cone sum rules

Abstract

In this work, we investigate the transition form factors for $\hat{I}{›}_b\to \hat{I}›(1520)$ within the framework of light-cone sum rules (LCSR), using the light-cone distribution amplitudes (LCDAs) of the $\hat{I}{›}_b$-baryon. In the hadronic representation of the correlation function, we carefully select the appropriate Lorentz structures and isolate the contributions from both the $\hat{I}›(1520)(J^P=(3/2{)}^{-})$ and the $\hat{I}›(1890)(J^P=(3/2{)}^{+})$, ensuring that the form factors for $\hat{I}{›}_b\to \hat{I}›(1520)$ can be calculated unambiguously. We also provide predictions for various physical observables in the decay $\hat{I}{›}_b\to \hat{I}›(1520)l^{+}{l}^{-}$, including the differential branching fraction, the lepton-side forward-backward asymmetry, the longitudinal polarization fraction, and the CP-averaged normalized angular observable. Our prediction for the differential branching fraction of $\hat{I}{›}_b\to \hat{I}›(1520)\hat{I}{¼}^{+}\hat{I}{¼}^{-}$ is in good agreement with the LHCb measurement within the uncertainties.