Studies on charmless hadronic Bc → AV(VA) decays in the perturbative QCD approach

Abstract

We study the charmless hadronic Bc → AV(VA) decays in the perturbative QCD(pQCD) approach, where A is either a 3P1 or a 1P1 axial-vector meson and V stands for the vector meson. All considered 30 decay channels can only occur through the annihilation topologies in the standard model. Based on the perturbative calculations and the phenomenological analysis, we find the following results: (i) the CP-averaged branching ratios of the considered Bc decays are in the range of 10−5–10−9 in the standard model; (ii) many considered decay modes, such as Bc → a1(1260)+ω, b1(1235)ρ, (K1(1270), K1(1400))K* and ρ+f1(1285), have sizable branching ratios, say around 10−6, and within the reach of the LHCb experiments; (iii) the longitudinal polarization fractions of most considered decays are large, ∼0.9 in magnitude; (iv) the pQCD predictions for several decays involving mixtures of 3P1 and/or 1P1 mesons are highly sensitive to the values of the mixing angles, which will be tested by the ongoing LHC and forthcoming Super-B experiments; (v) the CP-violating asymmetries of these considered Bc decays are absent naturally in the standard model because of the involved pure tree topology.