Weak Decays of Doubly Heavy Baryons: SU(3) Analysis

Abstract

Motivated by the recent LHCb observation of doubly-charmed baryon $Ξ_{cc}^{++}$ in the $Λ_c^+ K^-π^+π^+$ final state, we analyze the weak decays of doubly heavy baryons $Ξ_{cc}$, $Ω_{cc}$, $Ξ_{bc}$, $Ω_{bc}$, $Ξ_{bb}$ and $Ω_{bb}$ under the flavor SU(3) symmetry. Decay amplitudes for various semileptonic and nonleptonic decays are parametrized in terms of a few SU(3) irreducible amplitudes. We find a number of relations or sum rules between decay widths and CP asymmetries, which can be examined in future measurements at experimental facilities like LHC, Belle II and CEPC. Moreover once a few decay branching fractions are measured in future, some of these relations may provide hints for exploration of new decay modes.