# Renormalization in Large Momentum Effective Theory of Parton Physics

## TL;DR

This paper establishes a multiplicative renormalization framework for non-local operators in large-momentum effective theory of parton physics, enabling more accurate lattice QCD calculations of parton properties.

## Contribution

It demonstrates, using heavy-quark effective theory, that these non-local operators can be multiplicatively renormalized at all orders, providing a solid theoretical foundation for lattice QCD studies.

## Key findings

- Operators are multiplicatively renormalized at all orders.
- The renormalization holds in both dimensional and lattice regularizations.
- Supports extraction of parton properties from lattice simulations.

## Abstract

In the large-momentum effective field theory approach to parton physics, the matrix elements of non-local operators of quark and gluon fields, linked by straight Wilson lines in a spatial direction, are calculated in lattice quantum chromodynamics as a function of hadron momentum. Using the heavy-quark effective theory formalism, we show a multiplicative renormalization of these operators at all orders in perturbation theory, both in dimensional and lattice regularizations. The result provides a theoretical basis for extracting parton properties through properly renormalized observables in Monte Carlo simulations.