Nonleptonic beauty baryon decays and CP asymmetries based on an SU(3)-flavor analysis

We consider hadronic weak decays of beauty baryons into charmless baryons and pseudoscalar mesons in a general framework based on SU(3) decomposition of the decay amplitudes. The advantage of this approach lies in the ability to perform an SU(3) analysis of these decays without any particular set of dynamical assumptions while accounting for the effects of an arbitrarily broken SU(3) flavor symmetry. Dictated by the symmetries of the effective Hamiltonian that allow us to relate or neglect reduced SU(3) amplitudes, we derive several sum rule relations between amplitudes and relations between CP asymmetries in these decays and identify those that hold even if SU(3) is broken.