The small-x Behavior of the Nonsinglet Polarized Structure Function g_2 in the Double Logarithmic Approximation

TL;DR

This paper investigates the small-x behavior of the nonsinglet polarized structure function g_2 in perturbative QCD, revealing a power-like growth and analyzing its relation to the Wandzura-Wilczek relation.

Contribution

It provides a new analysis of g_2 at small x using double logarithmic approximation, including both signature contributions and their implications.

Findings

g_2(x,Q^2) exhibits power-like growth as x approaches zero

Both positive and negative signature contributions are significant

The results are discussed in the context of the Wandzura-Wilczek relation

Abstract

The nonsinglet spin dependent structure function $g_2(x,Q^2)$ is studied at small x within the double logarithmic approximation of perturbative QCD. Both positive and negative signature contributions are considered, and we find a power-like growth in $1/x$. We discuss how our result fits into the Wandzura-Wilczek relation.