https://doi.org/10.1140/epjc/s10052-016-4378-0
Regular Article - Theoretical Physics
and 
decays in QCD factorization and possible puzzles
1
Institute of Particle and Nuclear Physics, Henan Normal University, Henan, 453007, China
2
Institute of Particle Physics, Central China Normal University, Wuhan, 430079, China
* e-mail: changqin@htu.edu.cn
Received:
4
July
2016
Accepted:
15
September
2016
Published online:
26
September
2016
Motivated by the rapid development of heavy-flavor experiments, phenomenological studies of nonleptonic and (
) decays are performed within the framework of QCD factorization. Relative to the previous work, the QCD corrections to the transverse amplitudes are evaluated at next-to-leading order. The theoretical predictions of the observables are updated. For the measured decays, the tensions between theoretical results and experimental measurements, i.e. the “
puzzle” and “
(or 
) puzzle”, are presented after detailed analyses. For the decays, they have relatively large branching fractions of the order 
and are in the scope of Belle-II and LHCb experiments. Moreover, they also provide a way to crosscheck the possible puzzles mentioned above through the similar ratios 
and 
. More refined experimental measurements and theoretical efforts are required to confirm or refute such two anomalies.
© The Author(s), 2016
