Revisiting the pion leading-twist distribution amplitude within the QCD background field theory

Tao Zhong, Xing-Gang Wu, Zhi-Gang Wang, Tao Huang, Hai-Bing Fu, and Hua-Yong Han
Phys. Rev. D 90, 016004 – Published 9 July 2014

Abstract

We study the pion leading-twist distribution amplitude (DA) within the framework of Shifman-Vainshtein-Zakharov sum rules under the background field theory. To improve the accuracy of the sum rules, we expand both the quark propagator and the vertex (z·D)n of the correlator up to dimension-six operators in the background field theory. The sum rules for the pion DA moments are obtained, in which all condensates up to dimension-six have been taken into consideration. Using the sum rules, we obtain ξ2|1GeV=0.338±0.032, ξ4|1GeV=0.211±0.030 and ξ6|1GeV=0.163±0.030. It is shown that the dimension-six condensates shall provide sizable contributions to the pion DA moments. We show that the first Gegenbauer moment of the pion leading-twist DA is a2π|1GeV=0.403±0.093, which is consistent with those obtained in the literature within errors but prefers a larger central value as indicated by lattice QCD predictions.

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  • Received 11 May 2014

DOI:https://doi.org/10.1103/PhysRevD.90.016004

© 2014 American Physical Society

Authors & Affiliations

Tao Zhong1,*, Xing-Gang Wu2,†, Zhi-Gang Wang3,‡, Tao Huang1,§, Hai-Bing Fu2, and Hua-Yong Han2

  • 1Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
  • 2Department of Physics, Chongqing University, Chongqing 401331, People’s Republic of China
  • 3Department of Physics, North China Electric Power University, Baoding 071003, People’s Republic of China

  • *zhongtao@ihep.ac.cn
  • wuxg@cqu.edu.cn
  • zgwang@aliyun.com
  • §huangtao@ihep.ac.cn

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Vol. 90, Iss. 1 — 1 July 2014

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