Matching issue in quasi parton distribution approach

TL;DR

This paper discusses the nonperturbative renormalization of power divergences in quasi parton distributions and demonstrates one-loop perturbative matching between continuum and lattice formulations.

Contribution

It introduces a nonperturbative renormalization scheme for power divergences and provides the first one-loop perturbative matching calculation for quasi quark distributions.

Findings

Nonperturbative renormalization scheme for power divergences.

One-loop perturbative matching between continuum and lattice.

Quasi distributions share collinear singularities with standard distributions.

Abstract

In recent years, the quasi parton distribution has been introduced for extracting the parton distribution functions from lattice QCD simulations. The quasi and standard distribution share the same perturbative collinear singularity and the renormalized quasi distribution can be factorized into the standard distribution with a perturbative matching factor. The quasi parton distribution is known to have power-law UV divergences, which do not exist in the standard distribution. We discuss in this talk the nonperturbative renormalization scheme for the power divergence. We also demonstrate the perturbative matching of the quasi quark distribution between continuum and lattice at the one-loop.