Pion form factor at spacelike momentum transfers from local-duality QCD sum rule

Abstract

We study the pion form factor in a broad range of spacelike momentum transfers within the local-duality version of QCD sum rules. We make use of the recently calculated two-loop double spectral density of the $<AVA>$ correlator including O(1) and $O({\alpha }_s)$ terms, which allows us to give predictions for the pion form factor and to study the interplay between the nonperturbative and perturbative contributions to the pion form factor without any reference to the pion distribution amplitude. Our results demonstrate the dominance of the nonperturbative contribution to the form factor up to relatively large values of the momentum transfer: namely, the nonperturbative O(1) term, which provides the $1/Q^4$ power correction, gives more than half of the pion form factor in the region $Q^2\le 20$ GeV${}^2$.

Revtex, 7 pages, references added, version to appear in Phys. Lett. B

References in corpus (4)

• Systematic uncertainties of hadron parameters obtained with QCD sum rules
• Can one control systematic errors of QCD sum rule predictions for bound states?
• Quark-hadron duality and hadron properties from correlators of pseudoscalar and axial currents
• Heavy-to-light form factors: sum rules on the light cone and beyond

Cited by in corpus (15)

• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• Electromagnetic pion and kaon form factors in light-cone resummed perturbative QCD
• Spacelike pion form factor from analytic continuation and the onset of perturbative QCD
• Pion electromagnetic form factor, perturbative QCD, and large-Nc Regge models
• Rigorous pion electromagnetic form factor behavior in the space-like region
• In-medium electromagnetic form factors of pseudoscalar mesons from the quark model
• RQM description of PS meson form factors, constraints from space-time translations, and underlying dynamics
• How accurate is the local-duality model for the pion elastic form factor?
• Pion form factor from local-duality QCD sum rule
• Elastic and transition form factors of light pseudoscalar mesons from QCD sum rules
• Systematic errors of transition form factors extracted by means of light-cone sum rules
• On the description of exotic hadron states within QCD sum rules
• On properties of the exotic hadrons from QCD sum rules
• Bounds on the spacelike pion electromagnetic form factor from analyticity and unitarity