A Lattice Evaluation of the Deep-Inelastic Structure Functions of the Nucleon

TL;DR

This paper computes the lower moments of nucleon deep-inelastic structure functions using lattice QCD with Wilson fermions, focusing on operator renormalization and chiral extrapolation.

Contribution

It provides a lattice-based evaluation of nucleon structure functions with detailed renormalization procedures and chiral limit extrapolation.

Findings

Calculated lower moments of structure functions on the lattice.

Performed both perturbative and non-perturbative renormalization.

Extrapolated results to the chiral limit.

Abstract

The lower moments of the unpolarized and polarized deep-inelastic structure functions of the nucleon are calculated on the lattice. The calculation is done with Wilson fermions and for three values of the hopping parameter $\kappa$, so that we can perform the extrapolation to the chiral limit. Particular emphasis is put on the renormalization of lattice operators. The renormalization constants, which lead us from lattice to continuum operators, are computed perturbatively to one loop order as well as non-perturbatively.