https://doi.org/10.1140/epjc/s10052-021-09958-0
Regular Article - Theoretical Physics
-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay 
1
Department of Physics, Guizhou Minzu University, 550025, Guiyang, People’s Republic of China
2
Department of Physics, Chongqing University, 401331, Chongqing, People’s Republic of China
3
Chongqing Key Laboratory for Strongly Coupled Physics, 401331, Chongqing, People’s Republic of China
4
School of Science, Chongqing University of Posts and Telecommunications, 400065, Chongqing, People’s Republic of China
Received:
30
September
2021
Accepted:
17
December
2021
Published online:
7
January
2022
In this paper, we make a detailed discussion on the 
and 
-meson leading-twist light-cone distribution amplitude 
by using the QCD sum rules approach under the background field theory. Taking both the non-perturbative condensates up to dimension-six and the next-to-leading order (NLO) QCD corrections to the perturbative part, its first three moments 
with 
can be determined, where the initial scale 
is set as the usual choice of 1 GeV. Numerically, we obtain 
, 
, and 
for -meson, 
, 
, and 
for 
-meson. Next, we calculate the 
transition form factors (TFFs) 
within QCD light-cone sum rules approach up to NLO level. The values at large recoil region are 
and 
. After extrapolating TFFs to the allowable physical regions within the series expansion, we obtain the branching fractions of the semi-leptonic decay, i.e. 
, i.e. 
and 
for 
channels respectively. And in addition to that, the mixing angle for 
with 
and ratio for the different decay channels 
are given, which show good agreement with the recent BESIII measurements.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
