Integrated and unintegrated PDFs and GPDs from effective two-body light-cone wave functions

TL;DR

This paper introduces a classification scheme for parton distribution models, clarifies their geometric relations, and derives new constraints for unintegrated and generalized parton distributions using effective two-body light-cone wave functions.

Contribution

It provides a unified framework for understanding uPDFs and GPDs through effective two-body light-cone wave functions and introduces new model relations and constraints.

Findings

Various classes of uPDF and GPD models can be derived from effective two-body light-cone wave functions.

The paper clarifies the geometric origin of unintegrated parton distribution relations.

New model relations and constraints are established for spherical models.

Abstract

We suggest a classification scheme for parton distribution models, clarify the geometrical origin of unintegrated parton distribution relations, which were observed in various models, present new model relations, and provide for a so-called "spherical" model the analogous constraints for generalized parton distributions. Our findings suggest that various classes of uPDF and GPD models can be obtained from effective two-body light-cone wave functions.