The QCD analysis of xF_3 structure function based on the analytic approach

We apply analytic perturbation theory to the QCD analysis of the xF_3 structure function data of the CCFR collaboration. We use different approaches for the leading order Q^2 evolution of the xF_3 structure function and compare the extracted values of the parameter Lambda_QCD and the shape of the higher twistcontribution. Our consideration is based on the Jacobi polynomial expansion method of the unpolarized structure function. The analysis shows that the analytic approach provides reasonable results in the leading order QCD analysis.Comment: 7 pages, 5 figure

The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD

Results of applying analytic perturbation theory (APT) to the Bjorken sum rule are presented. We study the third-order QCD correction within the analytic approach and investigate its renormalization scheme dependence. We demonstrate that, in the framework of the method, theoretical predictions of the Bjorken sum rule are, practically, scheme independent for the entire interval of momentum transfer.Comment: 12 pages, 3 eps figures, uses elsart.cl

Manifestation of Quark-Hadron Duality in e +e − Annihilation into Hadrons

The Adler D-function which appears in the process of the e+e− annihilation into hadrons is of interest from the point of view of quark-hadron duality, as this function turned out to be a smooth function with no traces of a resonance structure which is observed for the function R(s), the normalized cross-section for the process of e+e− annihilation into hadrons. We consider various physical quantities and functions generated by R(s) and obtain good agreement between our results and experimental data down to the lowest energy scale. We found that the reason of such consent is a consequence of quark-hadron duality, which connects the R(s) and the D-function

Leptonic Widths in the Relativistic Quasipotential Approach: the Case of Arbitrary Masses

The new relativistic leptonic decay widths in quantum chro­modynamics are obtained. Consideration is conducted within the framework of completely covariant of the quasipotential approach in quantum field theory, formulated in the relativistic configurational representation in the case of two particles of arbitrary masses