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

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

2007-10-29

arxiv.org/abs/0710.5461v2

Phys.Lett.B661:354-359,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2008.02.025

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 $$ 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$^2$.

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