Productions of $T_{cc}$ and its SU(3)-flavor symmetry and heavy quark spin symmetry partners in $B_c$ decays

Abstract

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 $D{D}^{\ast }$ bound state, and then predict the masses of its heavy quark spin symmetry partner $D^{\ast }{D}^{\ast }$ (denoted by $T_{cc}^{\ast }$) as well as their SU(3)-flavor symmetry partners, i.g., $D_s{D}^{\ast }/D_s^{\ast }D$ (denoted by $T_{ccs}^{+}$ and $T_{ccs}^{++}$) and $D^{\ast }{D}_s^{\ast }$ (denoted by $T_{ccs}^{\ast +}$ and $T_{ccs}^{\ast ++}$), using the contact range effective field theory. Within the molecular picture, we compute their partial decays and production rates in $B_c$ meson decays. We identify the decays $B_c\to D^0{D}^0{\pi }^{+}{\bar{D}}^0$ and $B_c\to D_s^{+}{D}^0{\pi }^{+}{D}^{-}$ as promising channels to observe the tetraquark states $T_{cc}^{(\ast )}$ and $T_{ccs}^{(\ast )++}$, 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 Run 3 and 4. Our results indicate that the $T_{ccs}^{+}$ and $T_{ccs}^{\ast ++}$ states are likely to be observed in $B_c$ decays, while it is quite difficult for the $T_{cc}$ and $T_{cc}^{\ast }$ states.