Within the framework of perturbative QCD factorization, we investigate the nonfactorizable contributions to these factorization-forbidden Quasi-two-body decays $B_{ (s)}\rightarrow h\chi_{ c0}\rightarrow h\pi^+\pi^-(K^+K^-)$ with $ h=\pi, K$. We compare our predicted branching ratios for the $B_{ (s)}\rightarrow K\chi_{ c0}\rightarrow K\pi^+\pi^-(K^+K^-)$ decay with available experiment data as well as predictions by other theoretical studies. The branching ratios of these decays are consistent with data and other theoretical predictions. In the Cabibbo-suppressed decays $B_{ (s)}\rightarrow h\chi_{ c0}\rightarrow h\pi^+\pi^-(K^+K^-)$ with $h=\bar{ K}^0,\pi$, however, the values of the branching ratios are the order of $10^{ -7}$ and $10^{ -8}$. The ratio $R_{ \chi_{ c0}}$ between the decay $B^+\rightarrow \pi^+\chi_{ c0}\rightarrow \pi^+\pi^+\pi^-$ and $B^+\rightarrow K^+\chi_{ c0}\rightarrow K^+\pi^+\pi^-$ and the distribution of branching ratios for different decay modes in invariant mass are considered in this work.
Categories: hep-ph hep-ex