Relativistic effects in model calculations of double parton distribution function

TL;DR

This paper investigates how relativistic effects, specifically Melosh operators, influence double parton distribution functions in hadronic collisions, revealing significant impacts on partonic correlations and proton structure modeling.

Contribution

It demonstrates the importance of relativistic effects in dPDF calculations using Light-Front constituent quark models, highlighting the role of Melosh operators in accurately capturing proton structure.

Findings

Melosh operators induce sizeable effects on dPDFs

Relativistic effects affect partonic correlations in the transverse plane

Results are stable against variations in proton wave function choices

Abstract

In this paper we consider double parton distribution functions (dPDFs) which are the main non perturbative ingredients appearing in the double parton scattering cross section formula in hadronic collisions. By using recent calculation of dPDFs by means of constituent quark models within the so called Light-Front approach, we investigate the role of relativistic effects on dPDFs. We find, in particular, that the so called Melosh operators, which allow to properly convert the LF spin into the canonical one and incorporate a proper treatment of boosts, produce sizeable effects on dPDFs. We discuss specific partonic correlations induced by these operators in transverse plane which are relevant to the proton structure and study under which conditions these results are stable against variations in the choice of the proton wave function.