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

Abstract

Motivated by the recent 3.9$σ$ 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 $ΔA_{CP} = A_{CP}(Λ_b^0 \to p π^- J/ψ) - A_{CP}(Λ_b^0 \to p K^- J/ψ) = A_{CP}(Λ_b^0 \to n π^0 J/ψ) - A_{CP}(Λ_b^0 \to (n K_S, n K_L) J/ψ)$. Our results provide guidance to test the availability of $SU(3)$ symmetry and search for possible CP violation effects in this class of decays.