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We study the $B(B_{s})\rightarrow D_{(s)}(\bar{D}_{(s)})\,T$ and$D_{(s)}^{\ast}(\bar{D}_{(s)}^{*})\,T$ decays in perturbative QCD approach,where T denotes a light tensor meson. In addition to the branching ratios, wealso give predictions to the polarization fractions for the$D^{*}_{(s)}(\bar{D}_{(s)}^{*})T$ decays. For those decays with a tensor mesonemitted, the factorizable emission diagrams do not contribute because oflorentz covariance considerations. In order to give the predictions to thesedecay channels, it is necessary to go beyond the naive factorization tocalculate the nonfactorizable and annihilation diagrams.

Charmed B(B_{s}) decays involving a light tensor meson in PQCD approach