2014/05/05 by Tao Zhong, Xing-Gang Wu, Zhi-Gang Wang +4
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.90.016004
published as Phys. Rev. D 90, 016004 (2014) · 13 pages, 7 figures
arxiv created 2014/05/05 · openalex publication_date 2014/07/09 · arxiv updated 2014/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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\ifmmode⋅\else\textperiodcentered\fi\stackrel\ensuremath↔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 ⟨\ensuremathξ2⟩|1 GeV=0.338\ifmmode±\else\textpm\fi\phantom\rule0ex0ex0.032, ⟨\ensuremathξ4⟩|1 GeV=0.211\ifmmode±\else\textpm\fi0.030 and ⟨\ensuremathξ6⟩|1 GeV=0.163\ifmmode±\else\textpm\fi0.030. 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 a2^\ensuremathπ|1 GeV=0.403\ifmmode±\else\textpm\fi0.093, which is consistent with those obtained in the literature within errors but prefers a larger central value as indicated by lattice QCD predictions.