Next-to-next-to-leading order corrections to quark Quasi parton distribution functions

TL;DR

This paper computes NNLO corrections to quark quasi-PDFs within large momentum effective theory, providing analytic matching coefficients that enhance the precision of nucleon structure studies in lattice QCD and future colliders.

Contribution

It presents the first NNLO calculation of quark quasi-PDFs, explicitly establishing factorization and deriving full analytic matching coefficients.

Findings

NNLO contributions significantly improve PDF extraction accuracy

Explicit factorization at NNLO is demonstrated

Analytic matching coefficients are derived for the first time

Abstract

We present the next-to-next-to-leading order (NNLO) calculation of quark quasi parton distribution functions (PDFs) in the large momentum effective theory. The nontrivial factorization at this order is established explicitly and the full analytic matching coefficients between the quasi distribution and the lightcone distribution are derived. We demonstrate that the NNLO numerical contributions can improve the behavior of the extracted PDFs sizably. With the unprecedented precision study of nucleon tomography at the planned electron-ion collider, high precision Lattice QCD simulations with our NNLO results implemented will enable to test the QCD theory and more precise results on the PDFs of nucleons will be obtained.