Perturbative QCD study of BsBs decays to a pseudoscalar meson and a tensor meson

We study two-body hadronic Bs→PTBs→PT decays, with P(T)P(T) being a light pseudoscalar (tensor) meson, in the perturbative QCD approach. The CP-averaged branching ratios and the direct CP asymmetries of the ΔS=0ΔS=0 modes are predicted, where ΔS   is the difference between the strange numbers of final and initial states. We also define and calculate experimental observables for the ΔS=1ΔS=1 modes under the Bs0–B¯s0 mixing, including CP averaged branching ratios, time-integrated CP asymmetries, and the CP observables CfCf, DfDf and SfSf. Results are compared to the Bs→PVBs→PV ones in the literature, and to the B→PTB→PT ones, which indicate considerable U-spin symmetry breaking. Our work provides theoretical predictions for the Bs→PTBs→PT decays for the first time, some of which will be potentially measurable at future experiments.