https://doi.org/10.1140/epjc/s10052-023-11725-2
Regular Article - Theoretical Physics
Study pion distribution amplitudes from the electromagnetic form factor by data-driven dispersion relation
1
School of Physics and Electronics, Hunan University, 410082, Changsha, People’s Republic of China
2
Hunan Provincial Key Laboratory of High-Energy Scale Physics and Applications, Hunan University, 410082, Changsha, China
3
Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, 510006, Guangzhou, China
4
Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, 510006, Guangzhou, China
Received:
21
February
2023
Accepted:
19
June
2023
Published online:
1
July
2023
We study the pion electromagnetic form factor in the modulus squared dispersion relation, and do the model independent extraction of the chiral mass embedded in the sub-leading twist light-cone distribution amplitude. The motivation of this work is the recent measurement of timelike form factor in the resonant regions, which makes up the piece lacking solid QCD-based calculation. With the perturbative QCD calculation up to next-to-leading-order of strong coupling and twist four level of meson distribution amplitudes, we obtain the chiral mass of pion meson as 
. Due to the chiral enhancement contribution from the sub-leading twist distribution amplitudes in the perturbative QCD calculation, we can not extract the lowest Gegenbauer moments of pion from the study of electromagnetic form factor. This problem could be settled down with the foresee Belle-II and BESIII measurement of the transition form factor especially in the large momentum transfers regions.
© The Author(s) 2023
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