Polarized nonsinglet {Delta q}_3 and nonsinglet fragmentation function D^{pi+}_{u_v} in the analytic approach to QCD

TL;DR

This paper applies analytic perturbation theory (APT) to QCD analysis of polarized nonsinglet distributions and fragmentation functions, confirming APT's effectiveness and comparing it with traditional perturbation theory.

Contribution

It demonstrates the successful application of APT to analyze polarized nonsinglet distributions and fragmentation functions using fake data, highlighting differences from standard perturbation theory.

Findings

APT can be successfully applied to polarized nonsinglet QCD analysis.

The inequality Lambda_{APT} > Lambda_{PT} is confirmed for the analyzed functions.

APT provides a consistent framework for analyzing DIS data with improved theoretical properties.

Abstract

We discuss the application of an analytic approach called the analytic perturbation theory (APT) to the QCD analysis of DIS data. In particular, the results of the QCD analysis of a set of `fake' data on the polarized nonsinglet Delta{q3} and the nonsinglet fragmentation function D^{pi+}_{u_v} by using the Q^2-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 Delta{q_3}(x,Q^2) and D^{pi+}_{u_v}(z,Q^2) and that the inequality Lambda_{APT} > Lambda_{PT} obtained previously for the xF3(x) structure function takes place.