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

Abstract

Motivated by recent LHCb measurements of CP violation in ${\Lambda }_b$ 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 ${\Lambda }_b\to {\Sigma }^0{K}^{+}{K}^{-}$, ${\Xi }_b^0\to \Lambda {\pi }^{+}{\pi }^{-}$, ${\Lambda }_b\to {\Sigma }^0{K}^{+}{\pi }^{-}$, and ${\Xi }_b^0\to \Sigma K^{-}{\pi }^{+}$. Furthermore, we provide a quantity that can be used as a null test of standard model and deviations from 0 will reflect the possible new physics. These results are valuable for CPV measurements in baryon decays, and can be tested in future experiments.

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