Nonlinear Phenomena in Complex Systems, 2015, Vol.18, No.2, pp.222-229

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2015, Vol.18, No.2, pp.222-229

Simulation of Long GSO Crystals for the COMET Experiment
A. V. Sidorov, O. P. Solovtsova

We discuss the application of an analytic approach called the analytic perturbation theory (APT) to the quantum chromodynamics (QCD) analysis of the polarized inclusive and semiinclusive deep inelastic lepton-hadron scattering (DIS) data. In particular, the results of the QCD analysis of a set of ‘fake’ data on the polarized nonsinglet Δq₃, Δq₈ and the nonsinglet fragmentation function D^π⁺ _{u_v} by using the Q²-evolution within the APT are considered. The ‘fake’ data are constructed based on parametrization of the polarized PDF and nonsinglet combination of the pion fragmentation functions. We confirm that APT can be successfully applied to QCD analysis of Δq₃(x,Q²) and Δq₈(x,Q²)) and D^π⁺ _{u_v}(z, Q²) that the inequality Λ_APT > Λ_PT obtained previously for the xF₃(x) structure function takes place. We discuss a limit of application of APT formulas for the QCD analysis of the DIS experimental data.

Key words: analytic perturbation theory, deep-inelastic scattering, QCD analysis, fragmentation functions, polarized parton distribution

Full text: Acrobat PDF (271KB)