Branching Ratio and CP Asymmetry of $B \to \pi \eta^{(\prime)}$ Decays   in the Perturbative QCD Approach
  We calculate the branching ratios and CP-violating asymmetries for $B^0 \to \pi^0 \eta^{(\prime)}$ and $B^+\to \pi^+ \eta^{(\prime)}$ decays in the perturbative QCD (pQCD) factorization approach here. We not only calculate the usual factorizable contributions, but also evaluate the non-factorizable and annihilation type contributions. Besides the current-current operators, the contributions from the QCD and electroweak penguin operators are also taken into account. The pQCD results for the CP-averaged branching ratios are $Br(B^+ \to \pi^+ \eta) \approx 4.1 \times 10^{-6}$, $Br(B^+ \to \pi^+ \eta^\prime) \approx 2.4 \times 10^{-6}$, and $Br(B^0 \to \pi^0 \eta^{(\prime)}) \approx 0.2 \times 10^{-6}$, which agree very well with the measured values or currently available experimental upper limits. We also predict large CP-violating asymmetries in these decays: $A_{CP}^{dir}(\pi^\pm \etap)\sim A_{CP}^{dir}(\pi^0 \etap)\sim -0.35 $, and $A_{CP}^{mix}(\pi^0 \etap)\sim 0.67$, but with large errors. The pQCD prediction for $A_{CP}^{dir}(\pi^\pm \eta)$ ($A_{CP}^{dir}(\pi^\pm \eta^\prime))$ has the same (opposite) sign with the primary measured values. Further improvements in both theory and experiments are needed to clarify this discrepancy. 
Huisheng Wang, Xin Liu, Zhenjun Xiao, Libo Guo and Cai-Dian L\"u