# DIS Structure Functions in Lattice QCD

## TL;DR

This paper presents a comprehensive 1-loop perturbative calculation of renormalization constants and mixing coefficients for lattice operators relevant to Deep Inelastic Scattering, using an improved clover-leaf lattice QCD action.

## Contribution

It provides the first complete 1-loop perturbative analysis of lattice operators for DIS structure functions with extensive symbolic computation.

## Key findings

- Calculated renormalization constants and mixing coefficients for relevant operators.
- Enhanced understanding of operator mixing in lattice QCD for structure functions.
- Methodology facilitates future precise lattice QCD computations.

## Abstract

In this talk I present the complete 1-loop perturbative computation of the renormalization constants and mixing coefficients of quark and gluon lattice operators of rank two and three whose hadronic elements enter in the determination of the first and second moment of Deep Inelastic Scattering Structure Functions, making use of the nearest-neighbor improved ``clover-leaf'' lattice QCD action. To perform the huge amount of calculations required for the evaluation of all the relevant Feynman diagrams, extensive use of symbolic manipulation languages like Schoonschip and Form has been made.