Generalized Valon Model for Double Parton Distributions

TL;DR

This paper presents a method to derive double parton distributions from light-cone wave functions, ensuring sum rule compliance and consistency with phenomenological data, demonstrated on the pion with two Fock components.

Contribution

It introduces a consistent approach to obtain double parton distributions from many-body wave functions, satisfying sum rules and matching phenomenological parametrizations.

Findings

Double parton distributions derived from light-cone wave functions.

Method satisfies Gaunt-Stirling sum rules.

Results align with phenomenological parametrizations at low scale.

Abstract

We show how the double parton distributions may be obtained consistently from the many-body light-cone wave functions. We illustrate the method on the example of the pion with two Fock components. The procedure, by construction, satisfies the Gaunt-Stirling sum rules. The resulting single parton distributions of valence quarks and gluons are consistent with a phenomenological parametrization at a low scale.