Branching Ratio and CP Asymmetry of B→ρη(′)B \to \rho \eta^{(\prime)} Decays in the Perturbative QCD Approach

In this paper,we calculate the branching ratios and CP-violating asymmetries for $B^0 \to \rho^0 \eta^{(\prime)}$ and B^+\to \rho^+ \etap decays in the perturbative QCD factorization approach. In this approach, 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 theoretical predictions for the branching ratios are $Br(B^+ \to \rho^+ \eta^{(\prime)}) \approx 9 \times 10^{-6}$ and $Br(B^0 \to \rho^0 \eta^{(\prime)}) \approx 5 \times 10^{-8}$, which agree well with the measured values and currently available experimental upper limits. We also predict large CP-violating asymmetries in these decays: $A_{CP}^{dir}(\rho^\pm \eta)\approx -13$, $A_{CP}^{dir}(\rho^\pm \eta^\prime)\approx -18$, $A_{CP}^{dir}(\rho^0 \eta)\approx -41$, $A_{CP}^{dir}(\rho^0 \eta^\prime)\approx -27$, $A_{CP}^{mix}(\rho^0 \eta)\approx +25$, and $A_{CP}^{mix}(\rho^0 \eta^\prime) \approx +11$, which can be tested by the current or future B factory experiments.Comment: 29 pages, 9 ps figures, more phenomenological discussions added, scale dependence of computed observables are considered, typos corrected, the figures and conclusions remain unchange

Branching Ratio and CP Asymmetry of B→πη(′)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.Comment: 28 pages, 8 figures, several typos correcte