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Weak decays of doubly heavy baryons: four-body nonleptonic decay channels

The LHCb Collaboration announced the observation of doubly charmed baryon through $Ξ_{c c}^{++} \rightarrow Λ_{c}^{+} K^{-} π^{+} π^{+}$ in 2017. Since then, a series of studies of doubly heavy baryons have been presented. $Ξ_{cc}^{++}$ was discovered through nonleptonic four-body decay mode, and experimental data has indicated that the decay modes of $Ξ_{c c}^{++}$ are not saturated by two and three-body intermediate states. In this work, we analyze the four-body weak decays of doubly heavy baryons $Ξ_{cc}^{++}, Ξ_{cc}^+$, and $Ω_{cc}^+$. Decay amplitudes for various channels are parametrized in terms of SU(3) irreducible amplitudes. We point out that branching fractions for Cabibbo-allowed processes $Ξ_{cc}^{+}\toΛ_c^+π^+ π^0 K^-$, $Ω_{cc}^{+}\toΛ_c^+π^+ \overline K^0 K^-$ would be helpful to search for $Ξ_{cc}^+$ and $Ω_{cc}^+$ in future measurements at experimental facilities like LHC, Belle II, and CEPC.