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Title: Smeared quasidistributions in perturbation theory

Quasi- and pseudodistributions provide a new approach to determining parton distribution functions from first principles’ calculations of QCD. Here, I calculate the flavor nonsinglet unpolarized quasidistribution at one loop in perturbation theory, using the gradient flow to remove ultraviolet divergences. I demonstrate that, as expected, the gradient flow does not change the infrared structure of the quasidistribution at one loop and use the results to match the smeared matrix elements to those in the MS¯ scheme. This matching calculation is required to relate numerical results obtained from nonperturbative lattice QCD computations to light-front parton distribution functions extracted from global analyses of experimental data.
Authors:
 [1]
  1. Univ. of Washington, Seattle, WA (United States); Rutgers, the State Univ. of New Jersey, Piscataway, NJ (United States)
Publication Date:
Grant/Contract Number:
AC02-05CH11231; FG02-00ER41132
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Related Information: © 2018 authors.; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1426528
Alternate Identifier(s):
OSTI ID: 1465441

Monahan, Christopher. Smeared quasidistributions in perturbation theory. United States: N. p., Web. doi:10.1103/PhysRevD.97.054507.
Monahan, Christopher. Smeared quasidistributions in perturbation theory. United States. doi:10.1103/PhysRevD.97.054507.
Monahan, Christopher. 2018. "Smeared quasidistributions in perturbation theory". United States. doi:10.1103/PhysRevD.97.054507.
@article{osti_1426528,
title = {Smeared quasidistributions in perturbation theory},
author = {Monahan, Christopher},
abstractNote = {Quasi- and pseudodistributions provide a new approach to determining parton distribution functions from first principles’ calculations of QCD. Here, I calculate the flavor nonsinglet unpolarized quasidistribution at one loop in perturbation theory, using the gradient flow to remove ultraviolet divergences. I demonstrate that, as expected, the gradient flow does not change the infrared structure of the quasidistribution at one loop and use the results to match the smeared matrix elements to those in the MS¯ scheme. This matching calculation is required to relate numerical results obtained from nonperturbative lattice QCD computations to light-front parton distribution functions extracted from global analyses of experimental data.},
doi = {10.1103/PhysRevD.97.054507},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}