Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-05-07
Phys.Rev.D70:033014,2004; Erratum-ibid.D70:079906,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
RevTex, 51 pages, 17 figures as 19 EPS files, embedded. Fig. 16(b) modified to show hard and soft form factors separately, Tab
Scientific paper
10.1103/PhysRevD.70.033014
We present an investigation of the pion's electromagnetic form factor F_{\pi}(Q^2) in the spacelike region utilizing two new ingredients: (i) a double-humped, endpoint-suppressed pion distribution amplitude derived before via QCD sum rules with nonlocal condensates--found to comply at the 1\sigma level with the CLEO data on the $\pi\gamma$ transition--and (ii) analytic perturbation theory at the level of parton amplitudes for hadronic reactions. The computation of F_{\pi}(Q^2) within this approach is performed at NLO of QCD perturbation theory (standard and analytic), including the evolution of the pion distribution amplitude at the same order. We consider the NLO corrections to the form factor in the \bar{MS} scheme with various renormalization scale settings and also in the \alpha_V-scheme. We find that using standard perturbation theory, the size of the NLO corrections is quite sensitive to the adopted renormalization scheme and scale setting. The main results of our analysis are the following: (i) Replacing the QCD coupling and its powers by their analytic images, both dependencies are diminished and the predictions for the pion form factor are quasi scheme and scale-setting independent. (ii) The magnitude of the factorized pion form factor, calculated with the aforementioned pion distribution amplitude, is only slightly larger than the result obtained with the asymptotic one in all considered schemes. (iii) Including the soft pion form factor via local duality and ensuring the Ward identity at Q^2=0, we present predictions that are in remarkably good agreement with the existing experimental data both in trend and magnitude.
Bakulev Alexander P.
Passek-Kumericki Kornelija
Schroers Wolfram
Stefanis N. G.
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