Document Type

Article

Publication Date

10-2019

DOI

10.1103/PhysRevD.100.074509

Publication Title

Physical Review D

Volume

100

Issue

7

Pages

074509 (30 pg.)

Abstract

We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory at leading power accuracy in the hadron momentum. We derive a general factorization formula for the quasi-PDFs in the presence of mixing and give the corresponding hard matching kernel at O(αs), both for the unpolarized and for the polarized quark and gluon quasi-PDFs. Our calculation is performed in a regularization-independent momentum subtraction scheme. The results allow us to match the nonperturbatively renormalized quasi-PDFs to normal PDFs in the presence of mixing and therefore can be used to extract flavor-singlet quark PDFs as well as gluon PDFs from lattice simulations.

Comments

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Original Publication Citation

Wang, W., Zhang, J. H., Zhao, S., & Zhu, R. L. (2019). Complete matching for quasidistribution functions in large momentum effective theory. Physical Review D, 100(074509), 30. doi:10.1103/PhysRevD.100.074509

ORCID

0000-0002-2182-9710 (Zhao)

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