Within the framework of the perturbative QCD approach based on k T factorization, we study 40 B c → D S decay modes in the leading order and leading power, where “ S ” stands for the light scalar meson. Under two different scenarios (S1 and S2) for the description of scalar mesons, we explore the branching fractions and related C P asymmetries. As a heavy meson consisting of two heavy quarks with different flavor, the light-cone distribution amplitude of the B c meson has not been well defined, and therefore the δ function is adopted. We find that the contributions of emission diagrams are suppressed by the vector decay constants and Cabibbo-Kobayashi-Maskawa elements, and the contributions of annihilation are dominant. After the calculation, we also find that some branching fractions are in the range [ 10 ? 5 , 10 ? 4 ] , which could be measured at the current LHCb experiment, and other decays with smaller branching fractions will be tested at high-energy colliders in the future. Furthermore, some decay modes have large C P asymmetries, but they are unmeasurable currently due to the small branching fractions.
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