Predictions for CP violation in anti-triplet beauty baryon to charmonium decays

TL;DR

This paper systematically analyzes CP violation in anti-triplet beauty baryon decays to charmonium and other particles using flavor SU(3) symmetry, providing testable predictions for future experiments.

Contribution

First systematic analysis of these decays within flavor SU(3), offering new predictions for CP violation and branching ratios to guide experimental tests.

Findings

Predicted specific CP asymmetry relations for various decay modes.

Provided branching ratio estimates for anti-triplet beauty baryon decays.

Suggested tests for SU(3) symmetry validity in these decays.

Abstract

Motivated by the recent 3.9$\sigma$ evidence for CP violation from the LHCb collaboration in decays of an anti-triplet beauty baryon to a charmonium, an octet baryon, and a pseudoscalar meson, we perform, for the first time, a systematic analysis of this class of decays within the framework of flavor $SU(3)$ symmetry. Several predictions for branching ratios and CP violating relations which can be tested in future experiments are found, in particular $\Delta A_{CP} = A_{CP}(\Lambda_b^0 \to p \pi^- J/\psi) - A_{CP}(\Lambda_b^0 \to p K^- J/\psi) = A_{CP}(\Lambda_b^0 \to n \pi^0 J/\psi) - A_{CP}(\Lambda_b^0 \to (n K_S, n K_L) J/\psi)$. Our results provide guidance to test the availability of $SU(3)$ symmetry and search for possible CP violation effects in this class of decays.