Implications on the CP violation of charmless three body decays of bottom baryons from a U -spin analysis

Motivated by recent LHCb measurements of CP violation in Λb three body decays, we conduct an analysis of CP asymmetry in three body decays of bottom baryons utilizing U-spin symmetry. We first develop a convenient representation that facilitates the incorporation of U-spin symmetry into our analysis. By integrating weak and strong phases into the derived amplitude, we obtain the CP asymmetry and establish relationships between CP asymmetries in U-spin related decay channels. With the help of experimental measurements, we provide numerical predictions for the CP asymmetries for other decay channels, particularly Ξb0→Λπ+π− under a specific scenario. Furthermore, we provide a quantity that can be used as a null test of the SU(3) symmetry and standard model. Deviations from zero would indicate potential new physics if they exceed the expected magnitude of SU(3) breaking effects. These results are valuable for CP violation measurements in baryon decays, and can be tested in future experiments. Published by the American Physical Society 2025