Toward modelization of quark and gluon transversity generalized parton distributions

TL;DR

This paper develops a theoretical framework for modeling quark and gluon transversity GPDs using dual parametrization and partial wave expansion techniques, aiding the understanding of nucleon structure.

Contribution

It introduces a set of combinations of helicity flip GPDs suitable for expansion in the SO(3) partial waves within the dual parametrization framework.

Findings

Defined combinations of GPDs for partial wave expansion

Established a consistent theoretical approach for transversity GPDs

Facilitated future phenomenological modeling of nucleon structure

Abstract

Quark and gluon helicity flip generalized parton distributions (GPDs) encode the information on the nucleon structure in the transversity sector. In order to build a theoretically consistent phenomenological parametrization for these hadronic matrix element within the framework of the dual parametrization of GPDs (or with the equivalent approach of the SO(3) partial waves (PW) expansion with the Mellin-Barnes integral techniques) we establish the set of combinations of parton helicity flip GPDs suitable for the expansion in the cross channel SO(3) PWs.