Twist-three relations of gluonic correlators for the transversely polarized nucleon

TL;DR

This paper derives exact relations among polarized gluon distributions in transversely polarized nucleons, aiding understanding of spin asymmetries and highlighting potential issues with frame-independence in the partonic spin decomposition.

Contribution

It provides new exact relations among gluonic correlators and discusses the frame-independence problem in the transverse nucleon spin decomposition.

Findings

Derived exact relations among gluonic distributions.

Identified potential frame-dependence issues.

Contributed to understanding spin asymmetries.

Abstract

We derive exact relations among the polarized gluon and three-gluon distributions in the transversely polarized nucleon which are relevant to single and double spin asymmetries in various hard processes. We also discuss the partonic decomposition of the transverse nucleon spin and point out a potential problem with frame-independence.