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

TL;DR

This paper analyzes CP violation in three-body bottom baryon decays using U-spin symmetry, providing theoretical predictions and null tests to guide future experimental searches for new physics.

Contribution

It introduces a U-spin based framework for analyzing CP asymmetries in bottom baryon decays and offers numerical predictions and null tests for experimental validation.

Findings

Predicted CP asymmetries for specific decay channels.

Established relationships between CP asymmetries in U-spin related decays.

Proposed null test quantity for detecting deviations from the Standard Model.

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 $\Lambda_b \to \Sigma^0 K^+ K^-$, $\Xi^0_b \to \Lambda \pi^+ \pi^-$, $\Lambda_b \to \Sigma^0 K^+ \pi^-$, and $\Xi^0_b \to \Sigma K^- \pi^+$. 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.