Non-Perturbative versus Perturbative Renormalization of Lattice Operators

TL;DR

This paper compares non-perturbative and perturbative renormalization methods for lattice operators relevant to deep-inelastic scattering, highlighting differences and improvements in accuracy.

Contribution

It provides a detailed comparison of non-perturbative and perturbative renormalization constants for twist-two operators in lattice QCD.

Findings

Non-perturbative renormalization yields different constants than one-loop perturbation.

Tadpole improvement enhances perturbative calculations.

Discrepancies impact the extraction of nucleon structure functions.

Abstract

Our objective is to compute the moments of the deep-inelastic structure functions of the nucleon on the lattice. A major source of uncertainty is the renormalization of the lattice operators that enter the calculation. In this talk we compare the renormalization constants of the most relevant twist-two bilinear quark operators which we have computed non-perturbatively and perturbatively to one loop order. Furthermore, we discuss the use of tadpole improved perturbation theory.