Non-leptonic decays of the B_c into tensor mesons

We have computed the branching ratios of the exclusive pseudoscalar (vector) + tensor modes that are allowed in the decays of the B_c meson. The dominant spectator and annihilation contributions in those decays are evaluated using the factorization hypothesis. We find that some of these decay channels, such as B_c --> (\rho^-, D_s^{*-}, D_s^{-})\chi_{c2} and B_c^ -->\pi^- \bar{B_{s2}^{*0}}, have branching ratios of the order of 10^{-4}, which seems to be at the reach of forthcoming experiments at the LHC. The inclusive branching fraction of the two-body B_c decays involving tensor particles is approximately 1.28 x10^{-3}. At the dynamical level, it is interesting to observe that the exclusive decays B_c --> K^-(\pi^-)\bar{D_2^{*0}}, \pi^0 D_2^{*-}, \eta^{'} D_{s2}^{*-} are dominated by the annihilation contributions.