https://doi.org/10.1140/epjc/s10052-016-4529-3
Regular Article - Theoretical Physics
The S-wave resonance contributions to the three-body decays 
in perturbative QCD approach
1
Department of Physics, Institute of Theoretical Physics, Nanjing Normal University, Nanjing, 210023, Jiangsu, People’s Republic of China
2
Department of Physics, Institute of Theoretical Physics, Shanxi University, Taiyuan, 030006, Shanxi, China
* e-mail: xiaozhenjun@njnu.edu.cn
Received:
27
September
2016
Accepted:
21
November
2016
Published online:
7
December
2016
In this paper, we study the three-body decays 
by employing the perturbative QCD (PQCD) factorization approach. We evaluate the S-wave resonance contributions by using the two-pion distribution amplitude 
. The Breit–Wigner formula for the 
, 
, and 
resonances and the Flatté model for the 
resonance are adopted to parameterize the time-like scalar form factors 
. We also use the Bugg model to parameterize the and compare the relevant theoretical predictions from different models. We found the following results: (a) the PQCD predictions for the branching ratios are 
for Breit–Wigner model and 
for Bugg model; (b) 
when the contributions from 
are all taken into account; and (c) The considered decays could be measured at the ongoing LHCb experiment, consequently, the formalism of two-hadron distribution amplitudes could also be tested by such experiments.
© The Author(s), 2016
