# Lattice DIS Structure Functions

## TL;DR

This paper reports on lattice QCD calculations of renormalization constants and mixing coefficients for DIS structure function moments, utilizing improved actions and automated symbolic computation to enhance accuracy and efficiency.

## Contribution

It introduces a novel automated computational framework for calculating operator renormalization in lattice QCD with improved actions.

## Key findings

- Calculated renormalization constants for DIS moments
- Developed automated symbolic computation codes
- Reduced systematic errors with improved lattice actions

## Abstract

We present the computation, in lattice QCD, of the renormalization constants and mixing coefficients of operators that measure the first two moments of DIS Structure Functions. These calculations have been performed using the Sheikholeslami-Wohlert O(a) improved ``clover'' action, which is known to reduce the systematic error associated with the finiteness of the lattice spacing a. Due to the complexities of the computations, we have developed, using the computer languages Schoonschip and Form, general codes that are able to automatically carry out all the analytic lattice manipulations.