Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-05-13
Phys.Rev.D84:034014,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 2 Tables, 4 figures. In v2 some explanations and references added. In v3 some clarifications added and references up
Scientific paper
10.1103/PhysRevD.84.034014
We perform a detailed analysis of all existing data (CELLO, CLEO, BaBar) on the pion-photon transition form factor by means of light-cone sum rules in which we include the NLO QCD radiative corrections and the twist-four contributions. The NNLO radiative correction together with the twist-six contribution are also taken into account in terms of theoretical uncertainties. Keeping only the first two Gegenbauer coefficients $a_2$ and $a_4$, we show that the $1\sigma$ error ellipse of all data up to 9 GeV$^2$ greatly overlaps with the set of pion distribution amplitudes obtained from nonlocal QCD sum rules---within the range of uncertainties due to twist-four. This remains valid also for the projection of the $1\sigma$ error ellipsoid on the $(a_2,a_4)$ plane when including $a_6$. We argue that it is not possible to accommodate the high-$Q^2$ tail of the BaBar data with the same accuracy, despite opposite claims by other authors, and conclude that the BaBar data still pose a challenge to QCD.
Bakulev Alexander P.
Mikhailov S. V.
Pimikov A. V.
Stefanis N. G.
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