Nonleptonic charmless decays of Bc → TP,TV in the perturbative QCD approach

Two-body charmless hadronic B-c decays involving a light 1(3)P(2) -tensor (T) meson are investigated for the first time within the framework of perturbative QCD (pQCD) at leading order, in which the other meson is the lightest pseudoscalar (P) or vector (V) state. The concerned processes can only occur through the pure weak annihilation topology in the standard model. We predict the CP-averaged branching ratios and polarization fractions of those considered decays in Cabibbo-Kobayashi-Maskawa (CKM) favored and suppressed modes. Phenomenologically, several modes-such as the B-c -> K-2*(1430)K and the CKM-favored B-c -> TV-have large decay rates of 10(-6), which are expected to be detected at Large Hadron Collider experiments in the near future. Moreover, all of the B-c -> TV modes are governed by the longitudinal amplitudes in the pQCD calculations and the corresponding fractions vary around 78-98%. A confirmation of these results could prove the reliability of the pQCD approach used here and further shed some light on the annihilation decay mechanism.