Mixing effects of il-il0 in ?b →?ilo0 thorn decays

We perform a thorough analysis of the - 0 mixing effects on the Ab -> Ao0 thorn decays based on the asymmetries are computed by considering four popular mixing schemes, such as - 0, - 0 - c, - 0 - G, and eta - 0 - G - eta c mixing formalisms, where G represents the physical pseudoscalar glueball. The PQCD predictions with the four mixing schemes does not change much for the eta channel but changes significantly for the 0 one. In particular, the value of BoAb -> A0 thorn in the - 0 - G - c mixing scheme exceeds the present experimental bound by a factor of 2, indicating the related mixing angles may be overestimated. Because of the distinctive patterns of interference between S-wave and P-wave amplitudes, the predicted up-down asymmetries for the two modes differ significantly. The obvious discrepancies among different theoretical analyses should be clarified in the future. The direct CP violations are predicted to be at the level of a few percent mainly because the tree contributions of the strange and nonstrange amplitudes suffer from the color suppression and CKM suppression. Finally, as a by-product, we investigate the Ab -> Ac process, which has a large branching ratio of order 10-4, promising to be measured by the LHCb experiment. Our findings are useful for constraining the mixing parameters, comprehending the o0 thorn configurations, and instructing experimental measurements.