On the Relations Between Polarized Structure Functions

TL;DR

This paper reviews the theoretical relations between polarized structure functions in deep inelastic scattering, highlighting a new testable integral relation for twist-3 contributions in upcoming experiments.

Contribution

It introduces a novel integral relation for twist-3 polarized structure functions that can be experimentally tested in future high-statistics measurements.

Findings

Identification of twist--2 and twist--3 integral relations

Proposal of a new testable integral relation for $g_2(x,Q^2)$

Potential for experimental verification in upcoming measurements

Abstract

The status of the twist--2 and the twist--3 integral relations between polarized structure functions in deep inelastic scattering for electromagnetic and electroweak interactions is reviewed. One novel integral relation for the twist--3 contributions can be tested in the upcoming high statistics measurements of the structure function $g_2(x,Q^2)$ in the range $Q^2 \gsim M_p^2$.