Study of the pure annihilation Bc → A2A3 decays

In this work, we calculate the CP-averaged branching ratios and the polarization fractions of the charmless hadronic B-c -> A(2)A(3) decays within the framework of perturbative QCD (pQCD) approach, where A is either a light P-3(1) or P-1(1) axial-vector meson. These 32 decay modes can occur through the annihilation topology only. Based on the perturbative calculations and phenomenological analysis, we find the following results: (a) the branching ratios of the considered 32 B-c -> A(2)A(3) decays are in the range of 10(-5) to 10(-8); (b) B-c -> a(1)b(1), (K) over bar K-0(1)1(+) and some other decays have sizable branching ratios and can be measured at the LHC experiments; (c) the branching ratios of B-c -> A(2)(P-1(1))A(3)(P-1(1)) decays are generally much larger than those of B-c -> A(2)(P-3(1))A(3)(P-3(1)) decays with a factor around (10 similar to 100); (d) the branching ratios of B-c -> (K) over bar K-0(1)1(+) decays are sensitive to the value of theta(K), which will be tested by the running LHC and forthcoming SuperB experiments; (e) the large longitudinal polarization contributions govern most considered decays and play the dominant role.