Nonleptonic charmless decays of Bc→T P ,T V in the perturbative QCD approach

Two-body charmless hadronic B_c decays involving a light 1 ³P₂ -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 C P -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→K₂^*(1430 )K and the CKM-favored B_c→T V —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→T V 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.