Inspired by the observation of the doubly charmed tetraquark state $T_{cc}$ at $pp$ collisions in the inclusive processes, we systematically investigate the production of doubly charmed tetraquark states in exclusive $B_c$ decays. In this work, we assume the $T_{cc}$ as a $D{D}^{*}$ bound state, and then predict the masses of its heavy quark spin symmetry partner $D^{*}{D}^{*}$ (denoted by $T_{cc}^{*}$) as well as their SU(3)-flavor symmetry partners, i.e., $D_s{D}^{*}/D_s^{*}D$ (denoted by $T_{ccs}^{+}$ and $T_{ccs}^{++}$) and $D^{*}{D}_s^{*}$ (denoted by $T_{ccs}^{*+}$ and $T_{ccs}^{*++}$), using the contact range effective field theory. Within the molecular picture, we compute their partial decay widths and production rates in $B_c$ meson decays. We identify the decays $B_c\to D^0{D}^0{\pi }^{+}{\overline{D}}^0$ and $B_c\to D_s^{+}{D}^0{\pi }^{+}{D}^{-}$ as promising channels to observe the tetraquark states $T_{cc}^{(*)}$ and $T_{ccs}^{(*)++}$, respectively. Finally, by combining these results with $B_c$ production cross sections, we estimate the expected event yields for these states in the upcoming LHC Runs 3 and 4. Our results indicate that the $T_{ccs}^{+}$ and $T_{ccs}^{*++}$ states are likely to be observed in $B_c$ decays, while it is quite difficult for the $T_{cc}$ and $T_{cc}^{*}$ states.

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• Effective field theory
• Multiquark bound states
• Particle decays
• Particle production
• Phenomenology