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

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