Matching the quasiparton distribution in a momentum subtraction scheme

The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtractio...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. D 2018-03, Vol.97 (5), Article 054512
Main Authors: Stewart, Iain W., Zhao, Yong
Format: Article
Language:English
Subjects:
Conversion
Convolution
Convolution integrals
Distribution functions
Gluons
Matching
Mathematical analysis
Momentum
Perturbation theory
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quarks
Regularization
Subtraction
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtraction scheme (RI/MOM), which can then be perturbatively related to the collinear parton distribution in the MS¯ scheme. Here we carry out a direct matching from the RI/MOM scheme for the quasi-PDF to the MS¯ PDF, determining the non-singlet quark matching coefficient at next-to-leading order in perturbation theory. We find that the RI/MOM matching coefficient is insensitive to the ultraviolet region of convolution integral, exhibits improved perturbative convergence when converting between the quasi-PDF and PDF, and is consistent with a quasi-PDF that vanishes in the unphysical region as the proton momentum Pz→∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.97.054512