Polarized and Unpolarized Nucleon Structure Functions from Lattice QCD

TL;DR

This paper presents a high-statistics lattice QCD calculation of nucleon structure functions, providing insights into deep-inelastic scattering and the internal quark-gluon structure of protons and neutrons.

Contribution

It offers the first detailed lattice QCD computation of multiple nucleon structure function moments up to spin four, including chiral extrapolation and perturbative renormalization.

Findings

Calculated moments of structure functions for proton and neutron.

Performed chiral extrapolation to physical quark masses.

Provided renormalization constants for continuum comparison.

Abstract

We report on a high statistics quenched lattice QCD calculation of the deep-inelastic structure functions $F_1$, $F_2$, $g_1$ and $g_2$ of the proton and neutron. The theoretical basis for the calculation is the operator product expansion. We consider the moments of the leading twist operators up to spin four. Using Wilson fermions the calculation is done for three values of $\kappa$, and we perform the extrapolation to the chiral limit. The renormalization constants, which lead us from lattice to continuum operators, are calculated in perturbation theory to one loop order.