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The discovery of $\Xi_{cc}^{++}$ has inspired new interest in studying doublyheavy baryons. In this study, the weak decays of a doubly charmed baryon ${\calB}_{cc}$ to a light baryon ${\cal B}$ and a charm meson $D^{(*)}$ (either apseudoscalar or a vector one) are calculated. Following our previous work, wecalculate the short distance contributions under the factorization hypothesis,whereas the long distance contributions are modeled as the final stateinteractions which are calculated with the one particle exchange model. We findthat the ${\cal B}_{cc}\to {\cal B} D^{*}$ decays' branching ratios areobviously larger, as they receive contributions of more polarization states.Among the decays that we investigate, the following have the largest branchingfractions: ${\cal BR}(\Xi_{cc}^{++}\rightarrow\Sigma^{+}D^{*+}) \in [0.46\%,3.33\%]$ estimated with $\tau_{\Xi_{cc}^{++}}=256$ fs; ${\calBR}(\Xi_{cc}^{+}\rightarrow\Lambda D^{*+}) \in [0.38\%, 2.63\%]$ and ${\calBR}(\Xi_{cc}^{+}\rightarrow\Sigma^{0} D^{*+}) \in [0.45\%, 3.16\%]$ with$\tau_{\Xi_{cc}^+}=45$ fs; and ${\cal BR}(\Omega_{cc}^{+}\rightarrow\Xi^{0}D^{*+}) \in [0.27\%, 1.03\%]$, ${\cal BR}(\Omega_{cc}^{+}\rightarrow\Xi^{0}D^{+}) \in [0.07\%, 0.44\%]$ and ${\calBR}(\Omega_{cc}^{+}\rightarrow\Sigma^{0} D^{*+}) \in [0.06\%, 0.45\%]$ with$\tau_{\Omega_{cc}^+}=75$ fs. By comparing the decay widths of pure colorcommensurate channels with those of pure bow-tie ones, we find that the bow-tiemechanism plays an important role in charm decays.

Weak Decays of Doubly Heavy Baryons: ${\cal B}_{cc}\to {\cal B} D^{(*)}$