Impact of the higher twist effects on the γ γ * → π 0 transition form factor

We reanalyze the $\ensuremath{\gamma}{\ensuremath{\gamma}}^{*}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}$ transition form factor ${F}_{\ensuremath{\pi}\ensuremath{\gamma}}({Q}^{2})$ 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 ${F}_{\ensuremath{\pi}\ensuremath{\gamma}}({Q}^{2})$. Obtained theoretical predictions are employed to deduce constraints on the pion DAs from CELLO and CLEO data.