https://doi.org/10.1140/epjc/s10052-022-11060-y
Regular Article - Theoretical Physics
Analysis of CKM-favored quasi-two-body 
decays in PQCD approach
1
Department of Physics, Yantai University, 264005, Yantai, China
2
School of Physics and Electronic Engineering, Jiangsu Normal University, 221116, Xuzhou, China
Received:
18
October
2022
Accepted:
21
November
2022
Published online:
29
November
2022
LHCb Collaboration studied the resonant structure of 
decays using the Dalitz plot analysis technique, based on a data sample corresponding to an integrated luminosity of 
of pp collision. The 
components have been analyzed in the amplitude model, where the decay amplitude is modeled to be the resonant contributions with respect to the intermediate resonances 
, 
and 
. Motivated by the experimental results, we investigate the CKM-favored quasi-two-body 
decays in the framework of the perturbative QCD (PQCD) approach. We calculate the the branching fractions by introducing the appropriate wave functions of 
pair. Our results are in agreement well the available data, and others can be tested in LHCb and Belle-II experiments. Using the narrow-width-approximation, we also extract the branching fractions of the corresponding two-body 
decays, which agree to the previous theoretical calculations and the experimental data within the errors. There are no CP asymmetries in these decays in the standard model, because these decays are all governed by only the tree operators.
© The Author(s) 2022
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