# Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD

## TL;DR

This paper computes the isovector unpolarized parton distribution functions from lattice QCD using nonperturbative renormalization and LaMET, providing a first-principles approach to connect lattice results with experimental PDFs.

## Contribution

It introduces a nonperturbative RI/MOM renormalization scheme for lattice QCD calculations of parton distributions within the LaMET framework, including one-loop matching and power corrections.

## Key findings

- Lattice results for the full x dependence of the quasi-distribution.
- Implementation of nonperturbative RI/MOM renormalization.
- Matching of lattice quasi-distributions to lightcone PDFs.

## Abstract

We present lattice results for the isovector unpolarized parton distribution with nonperturbative RI/MOM-scheme renormalization on the lattice. In the framework of large-momentum effective field theory (LaMET), the full Bjorken-$x$ dependence of a momentum-dependent quasi-distribution is calculated on the lattice and matched to the ordinary lightcone parton distribution at one-loop order, with power corrections included. The important step of RI/MOM renormalization that connects the lattice and continuum matrix elements is detailed in this paper. A few consequences of the results are also addressed here.