On higher twist chiral-odd pion generalized parton distributions

TL;DR

This paper defines higher twist chiral-odd generalized parton distributions for pseudoscalar hadrons like the pion using light-cone collinear factorization, introducing 28 GPDs up to twist 6 with symmetry constraints.

Contribution

It extends the framework of GPDs to include twist 6 chiral-odd distributions for pseudoscalar hadrons, with detailed parametrization and symmetry considerations.

Findings

Defined 28 real GPDs for pseudoscalar hadrons.

Parametrized GPDs based on symmetry invariances.

Applied QCD equations of motion constraints.

Abstract

We define in the framework of light-cone collinear factorization method, the chiral-odd generalized parton distributions (GPDs) of a pseudoscalar hadron (such as the $\pi^0$) up to twist 6. For that, we introduce the relevant matrix elements for 2-parton non-local operators, as well as matrix elements for 3-parton non-local correlators. Their detailed parametrization is fixed based on parity, charge conjugation and time reversal invariance. This leads to the introduction of 28 real GPDs, which are subject to constraints coming from the QCD equations of motion.