https://doi.org/10.1140/epjc/s10052-016-4350-z
Regular Article - Theoretical Physics
Heavy pseudoscalar twist-3 distribution amplitudes within QCD theory in background fields
1
College of Physics and Materials Science, Henan Normal University, Xinxiang, 453007, People’s Republic of China
2
Department of Physics, Chongqing University, Chongqing, 401331, People’s Republic of China
3
Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China
4
School of Science, Guizhou Minzu University, Guiyang, 550025, People’s Republic of China
* e-mail: zhongtao@htu.edu.cn
Received:
24
May
2016
Accepted:
2
September
2016
Published online:
17
September
2016
In this paper, we study the properties of the twist-3 distribution amplitude (DA) of the heavy pseudoscalars such as 
, 
, and 
. New sum rules for the twist-3 DA moments 
and 
up to sixth order and up to dimension-six condensates are deduced under the framework of the background field theory. Based on the sum rules for the twist-3 DA moments, we construct a new model for the two twist-3 DAs of the heavy pseudoscalar with the help of the Brodsky–Huang–Lepage prescription. Furthermore, we apply them to the 
transition form factor (
) within the light-cone sum rules approach, and the results are comparable with other approaches. It has been found that the twist-3 DAs 
and 
are important for a reliable prediction of . For example, at the maximum recoil region, we have 
, in which those two twist-3 terms provide 
and 
contributions. Also we calculate the branching ratio of the semi-leptonic decay 
as 
.
© The Author(s), 2016
