Double parton correlations in Light-Front constituent quark model

TL;DR

This paper investigates double parton distribution functions in the proton using a relativistic Light-Front constituent quark model, revealing correlations and symmetries, and analyzing their evolution with QCD.

Contribution

It introduces a Light-Front constituent quark model to study dPDFs, highlighting dynamical correlations and model-independent features in the valence quark region.

Findings

Predicted transverse momentum correlations due to relativistic boosts

Analyzed spin correlation effects in dPDFs

Confirmed symmetry properties of dPDFs in a covariant framework

Abstract

Double parton distribution functions (dPDF) represent a tool to explore the 3D proton structure. They can be measured in high energy proton-proton and proton nucleus collisions and encode information on how partons inside a proton are correlated among each other. dPFDs are studied here in the valence quark region, by means of a constituent quark model, where two particle correlations are present without any additional prescription. This framework allows to understand the dynamical origin of the correlations and to clarify which, among the features of the results, are model independent. Use will be made of a relativistic light-front scheme, able to overcome some drawbacks of the previous calculation. Transverse momentum correlations, due to the exact treatment of the boosts, are predicted and analyzed. The role of spin correlations is also shown. Due to the covariance of the approach, some symmetries of the dPDFs are seen unambigously. For the valence sector, the study of the QCD evolution of the model results, which can be performed safely thanks to the property of good support, has been also completed.