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

2024/11/27 by Wei Wang, Wang, Wei, Zhi-Peng Xing +3 · 1 citation
Physics and Astronomy · Computer Science · #Particle physics theoretical and experimental studies #Computational Physics and Python Applications #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2411.18400

Abstract

Motivated by recent LHCb measurements of CP violation in Λ_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 Λ_b → Σ⁰ K⁺ K^-, Ξ⁰_b → Λπ⁺ π^-, Λ_b → Σ⁰ K⁺ π^-, and Ξ⁰_b → ΣK^- π⁺. 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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