Perturbative Renormalization of Lattice Bilinear Quark Operators

TL;DR

This paper calculates the renormalization constants for bilinear quark operators on the lattice, aiding the extraction of nucleon structure functions from lattice QCD simulations.

Contribution

It provides the first comprehensive computation of renormalization constants for all leading twist bilinear quark operators up to spin four for Wilson fermions in the quenched approximation.

Findings

Renormalization constants for bilinear operators are computed.

Results facilitate lattice QCD calculations of nucleon structure functions.

Work is done within the quenched approximation.

Abstract

Our aim is to compute the lower moments of the unpolarized and polarized deep-inelastic structure functions of the nucleon on the lattice. The theoretical basis of the calculation is the operator product expansion. To construct operators with the appropriate continuum behavior out of the bare lattice operators one must absorb the effects of momentum scales far greater than any physical scale into a renormalization of the operators. In this work we compute the renormalization constants of all bilinear quark operators of leading twist and spin up to four. The calculation is done for Wilson fermions and in the quenched approximation where dynamical quark loops are neglected.