Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-12-23
Phys.Rev. D68 (2003) 014013
Physics
High Energy Physics
High Energy Physics - Phenomenology
62 pages LaTeX, 2 figures, 9 tables; typos corrected, some references added, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.68.014013
We evaluate the next-to-next-to-leading order corrections to the hard-scattering amplitude of the photon-to-pion transition form factor. Our approach is based on the predictive power of the conformal operator product expansion, which is valid for a vanishing $\beta$-function in the so-called conformal scheme. The Wilson--coefficients appearing in the non-forward kinematics are then entirely determined from those of the polarized deep-inelastic scattering known to next-to-next-to-leading accuracy. We propose different schemes to include explicitly also the conformal symmetry breaking term proportional to the $\beta$-function, and discuss numerical predictions calculated in different kinematical regions. It is demonstrated that the photon-to-pion transition form factor can provide a fundamental testing ground for our QCD understanding of exclusive reactions.
Melic Blazenka
Muller Daniel
Passek-Kumericki Kornelija
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