Novel applications of Lattice QCD: Parton distribution functions, proton charge radius and neutron electric dipole moment

TL;DR

This paper reviews recent advances in lattice QCD simulations related to nucleon structure, including form factors, parton distributions, and the neutron electric dipole moment, highlighting progress at physical quark masses.

Contribution

It provides an overview of recent lattice QCD results on nucleon observables, emphasizing developments at physical quark masses and exploratory studies at heavier pion masses.

Findings

Nucleon form factors and radii computed at physical quark masses.

Parton distribution functions and moments evaluated with recent lattice techniques.

Initial exploratory results for neutron electric dipole moment at heavier pion masses.

Abstract

We briefly discuss the current status of lattice QCD simulations and review selective results on nucleon observables focusing on recent developments in the lattice QCD evaluation of the nucleon form factors and radii, parton distribution functions and their moments, and the neutron electric dipole moment. Nucleon charges and moments of parton distribution functions are presented using simulations generated at physical values of the quark masses, while exploratory studies are performed for the parton distribution functions and the neutron electric dipole moment at heavier than physical value of the pion mass.