The study of $B\to J/\Psi \eta^{(\prime)}$ decays and determination of $\eta-\eta^{\prime}$ mixing angle

TL;DR

This paper analyzes B to J/psi eta(') decays to determine the eta-eta' mixing angle using two methods, combining QCD factorization and pQCD approaches, and provides predictions consistent with experimental data.

Contribution

It introduces two novel methods for determining the eta-eta' mixing angle from B decay data, incorporating both factorizable and nonfactorizable contributions.

Findings

Predicted branching ratio for B→J/psi eta' is 7.59×10⁻⁶.

Estimated eta-eta' mixing angle is about -13.1 degrees.

Results are consistent with existing literature and experimental data.

Abstract

We study $B\to J/\Psi \eta^{(\prime)}$ decays and suggest two methods to determine the $\eta-\eta^{\prime}$ mixing angle. We calculate not only the factorizable contribution in QCD facorization scheme but also the nonfactorizable hard spectator corrections in pQCD approach. We get the branching ratio of $B\to J/\Psi \eta$ which is consistent with recent experimental data and predict the branching ratio of $B\to J/\Psi \eta^{\prime}$ to be $7.59\times 10^{-6}$. Two methods for determining $\eta-\eta^{\prime}$ mixing angle are suggested in this paper. For the first method, we get the $\eta-\eta^{\prime}$ mixing angle to be about $-13.1^{\circ}$, which is in consistency with others in the literature. The second method depends on less parameters so can be used to determine the $\eta-\eta^{\prime}$ mixing angle with better accuracy but needs, as an input, the branching ratio for $B\to J/\Psi \eta^{\prime}$which should be measured in the near future.