https://doi.org/10.1140/epjc/s10052-018-5551-4
Regular Article - Theoretical Physics
Uncertainties of the 
transition form factor from the D-meson leading-twist distribution amplitude
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
School of Science, Guizhou Minzu University, Guiyang, 550025, People’s Republic of China
4
Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China
* e-mail: zhongtao@htu.edu.cn
Received:
10
September
2017
Accepted:
13
January
2018
Published online:
25
January
2018
The transition form factor (TFF) 
is determined mainly by the D-meson leading-twist distribution amplitude (DA) , 
, if the proper chiral current correlation function is adopted within the light-cone QCD sum rules. It is therefore significant to make a comprehensive study of DA and its impact on . In this paper, we calculate the moments of with the QCD sum rules under the framework of the background field theory. New sum rules for the leading-twist DA moments 
up to fourth order and up to dimension-six condensates are presented. At the scale 
, the values of the first four moments are: 
, 
, 
and 
. Basing on the values of 
, a better model of is constructed. Applying this model for the TFF under the light cone sum rules, we obtain 
and 
. The uncertainty of from is estimated and we find its impact should be taken into account, especially in low and central energy region. The branching ratio 
is calculated, which is consistent with experimental data.
© The Author(s), 2018
