Regular Article - Theoretical Physics
-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay
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
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.
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