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Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical

Bálint Joó^1,2, Joseph Karpie³, Kostas Orginos^2,4

¹Oak Ridge Leadership Facility, Oak Ridge National Laboratory, One Bethel Valley Road, Oak Ridge, Tennessee 37831, USA.

Physical Review Letters

|December 18, 2020

Summary

We computed the nucleon's unpolarized parton distribution function using lattice quantum chromodynamics (QCD) and Ioffe time pseudodistributions. This novel approach allows for detailed analysis of the nucleon structure at physical pion mass.

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Area of Science:

Nuclear Physics
Quantum Chromodynamics
Particle Physics

Background:

Parton distribution functions (PDFs) are fundamental to understanding nucleon structure.
Lattice QCD provides a non-perturbative approach to calculating these properties.
Previous calculations were limited by computational resources and methodological constraints.

Purpose of the Study:

To compute the unpolarized parton distribution function (PDF) of the nucleon.
To apply the novel method of Ioffe time pseudodistributions for PDF analysis.
To investigate nucleon structure at the physical pion mass.

Main Methods:

Lattice quantum chromodynamics (QCD) simulations at the physical pion mass.
Employing the method of Ioffe time pseudodistributions.
Utilizing the small Ioffe time expansion for moment extraction.

Main Results:

First computation of unpolarized PDFs using Ioffe time pseudodistributions at physical pion mass.
Reconstruction of the Bjorken-x dependence of the nucleon PDFs.
Extraction of the lowest moments of the PDFs via small Ioffe time expansion.

Conclusions:

The Ioffe time pseudodistribution method is a viable tool for lattice QCD studies of PDFs.
Results provide crucial data for phenomenological models of nucleon structure.
This study marks a significant step towards more precise determinations of fundamental nucleon properties.