Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-04-28
Phys.Rev. D72 (2005) 074015
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, 4 figures as eps files embedded. Version matching published version in PRD. See also hep-ph/0506311
Scientific paper
10.1103/PhysRevD.72.074015
The removal of unphysical singularities in the perturbatively calculable part of the pion form factor--a classic example of a three-point function in QCD--is discussed. Different ``analytization'' procedures in the sense of Shirkov and Solovtsov re examined in comparison with standard QCD perturbation theory. We show that demanding the analyticity of the partonic amplitude as a \emph{whole}, as proposed before by Karanikas and Stefanis, one can make infrared finite not only the strong running coupling and its powers, but also cure potentially large logarithms (that first appear at next-to-leading order) containing the factorization scale and modifying the discontinuity across the cut along the negative real axis. The scheme used here generalizes the Analytic Perturbation Theory of Shirkov and Solovtsov to non-integer powers of the strong coupling and diminishes the dependence of QCD hadronic quantities on all perturbative scheme and scale-setting parameters, including the factorization scale.
Bakulev Alexander P.
Karanikas Alexandros I.
Stefanis N. G.
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