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

Comments: 7 pages, any comments are welcome