# Nucleon structure functions from lattice operator product expansion

## TL;DR

This paper introduces a novel lattice QCD method using the operator product expansion to directly compute nucleon structure functions from the Compton amplitude, addressing previous renormalization and operator mixing challenges.

## Contribution

It proposes a new approach to calculate nucleon structure functions directly from lattice QCD, overcoming prior renormalization and operator mixing issues.

## Key findings

- Method successfully computes structure functions from the Compton amplitude.
- Addresses renormalization and operator mixing problems in lattice calculations.
- Lays groundwork for first-principles nucleon structure studies.

## Abstract

Deep-inelastic scattering, in the laboratory and on the lattice, is most instructive for understanding how the nucleon is built from quarks and gluons. The long-term goal is to compute the associated structure functions from first principles. So far this has been limited to model calculations. In this Letter we propose a new method to compute the structure functions directly from the virtual, all-encompassing Compton amplitude, utilizing the operator product expansion. This overcomes issues of renormalization and operator mixing, which so far have hindered lattice calculations of power corrections and higher moments.