Perturbative Effects in the Form Factor \gamma\gamma^*\to \pi and Extraction of the Pion Wave Function from CLEO Data

We study the pion form factor F^{\pi \gamma\gamma^*}(Q^2) in the light-cone sum rule approach, accounting for radiative corrections and higher twist effects. Comparing the results to the CLEO experimental data on F^{\pi \gamma\gamma^*}(Q^2), we extract the the pion distribution amplitude of twist-2. The deviation of the distribution amplitude from the asymptotic one is small and is estimated to be a_2(\mu) = 0.12 \pm 0.03 at \mu=2.4 GeV, in the model with one non-asymptotic term. The ansatz with two non-asymptotic terms gives some region of a_2 and a_4, which is consistent with the asymptotic distribution amplitude, but does not agree with some old models.Comment: 21 pages, LaTeX, 7 eps figures; (v2): Phys. Rev. D versio

Results analysis of agricultural organizations subsidy

The article presents some issues of the methodology of the study of state support for agricultural production in the aspect of efficiency. The dynamic series of profitability for certain types of products sold by agricultural organizations with and without budget subsidies are used as source data. First, a preliminary analysis and pairwise comparison of the series using nonparametric methods is carried out. Further, in order to use complete information on all the data, the methods of reduction to three variables are applied. In order to compare different methods, the principal component method and autoencoding using a neural network were used. The transformed data was also compared with and without subsidies. Conclusions and practical recommendations on the results obtained, as well as directions for the development of scientific research, are formulated