We reanalyze the gamma gamma(*)->pi(0) transition form factor F-pi gamma(Q(2)) within the QCD light-cone sum rules method with the twist-4 accuracy. In computations, the pion leading twist distribution amplitude (DA) with two nonasymptotic terms and the renormalon method-inspired twist-4 DAs are used. The latters allow us to estimate the impact of effects due to higher conformal spin components in the pion twist-4 DAs on the form factor F-pi gamma(Q(2)). Obtained theoretical predictions are employed to deduce constraints on the pion DAs from CELLO and CLEO data.
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