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⁻ → (ρ⁻, D_s*⁻, D_s⁻)χ_c2 and B_c⁻ → π⁻, have branching ratios of the order of 10⁻⁴, which seems to be within 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 × 10⁻³. At the dynamical level, it is interesting to observe that the exclusive decays B_c⁻ → K⁻(π⁻) , π⁰ D₂*⁻, η'D_s2*⁻ are dominated by the annihilation contributions.