Extracting Mellin moments of double parton distributions from lattice data

TL;DR

This paper investigates how the skewness dependence affects the extraction of Mellin moments of double parton distributions from lattice QCD data, using models to analyze the impact.

Contribution

It introduces a method to study the skewness dependence of hadronic correlation functions for extracting double parton distribution moments from lattice data.

Findings

Skewness dependence significantly influences the extraction process.

Model studies reveal the importance of accounting for skewness in lattice calculations.

Understanding this dependence improves the accuracy of double parton distribution reconstructions.

Abstract

Reconstructing Mellin moments of double parton distributions from calculations on a Euclidean lattice requires taking an integral over a variable that may be regarded as a Ioffe time. The Fourier conjugate of this variable plays the role of a kinematic skewness in the double parton distributions. We discuss the skewness dependence of the relevant hadronic correlation functions. Using several models, we study the impact of this dependence on extracting moments of double parton distributions from existing lattice data.