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Tagging the pion quark structure in QCD

A. P. Bakulev*, S. V. Mikhailov†, and N. G. Stefanis‡

  • Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia

  • *Electronic address: bakulev@theor.jinr.ru
  • †Electronic address: mikhs@theor.jinr.ru
  • ‡On leave of absence from Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • §Electronic address: stefanis@tp2.ruhr-uni-bochum.de
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Phys. Rev. D 73, 056002 – Published 22 March, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.056002

Abstract

We combine the constraints on the pion quark structure available from perturbative QCD, nonperturbative QCD (nonlocal QCD sum rules and light-cone sum rules) with the analysis of current data on Fπγγ*(Q2), including recent high-precision lattice calculations of the second moment of the pion’s distribution amplitude. We supplement these constraints with those extracted from the renormalon approach by means of the twist-four contributions to the pion distribution amplitude in order to further increase stability with respect to related theoretical uncertainties. We show which regions in the space of the first two nontrivial Gegenbauer coefficients a2 and a4 of all these constraints overlap, tagging this way the pion structure to the highest degree possible at present.

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Phys. Rev. D 73, 056002– Published 22 March, 2006
  • Received 9 December 2005

© 2006 American Physical Society

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