https://doi.org/10.1140/epjc/s10052-022-11147-6
Regular Article - Theoretical Physics
Phenomenological studies on neutral B-meson decays into 
and 
1
School of Physics and Electronic Engineering, Jiangsu Normal University, 221116, Xuzhou, China
2
Department of Physics, Yantai University, 264005, Yantai, China
3
Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, 210023, Nanjing, China
b
liuxin@jsnu.edu.cn
d
liying@ytu.edu.cn
Received:
28
October
2022
Accepted:
20
December
2022
Published online:
10
January
2023
The axial-vector mesons 
and 
are particularly viewed as the mixtures of flavor states 
and 
with mixing angle 
. In order to determine this angle, we study the 
and 
decays in perturbative QCD (PQCD) approach, including the effects of vertex corrections, nonfactorizable diagrams and penguin operators. Not only the branching fractions, but also the direct CP asymmetries and the polarization fractions are calculated. It is found that the branching fractions of these decays are large enough to be measured in the running LHCb and Belle-II experiments. Moreover, in comparison with the observed 
, 
decays have large branching fractions, which could be measured promisingly through 
in experiments. We also propose several ratios that could be used to further constrain the absolute value of the mixing angle , but its sign cannot be determined yet in these decays. The direct CP asymmetries of these decays indicate the penguin pollution in the 
decays cannot be neglected. We acknowledge that there are large theoretical uncertainties arising from the distribution amplitudes of axial-vector mesons and charmonium states, and more precise nonperturbative parameters are called. The comparisons between our results and future experimental data would help us to understand the nature of 
states and to test the PQCD approach.
© The Author(s) 2023
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