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Title: Parton distribution functions from reduced Ioffe-time distributions

Journal Article · · Physical Review. D.
 [1];  [2];  [3]
  1. Univ. of Regensburg (Germany). Inst. for Theorectical Physics
  2. National Taiwan Univ., Taipei (Taiwan)
  3. Univ. of Washington, Seattle, WA (United States)

We show that the correct way to extract parton distribution functions from the reduced Ioffe-time distribution, a ratio of the Ioffe-time distribution for a moving hadron and a hadron at rest, is through a factorization formula. This factorization exists because, at small distances, forming the ratio does not change the infrared behavior of the numerator, which is factorizable. Consequently, we illustrate the effect of such a factorization by applying it to results in the literature.

Research Organization:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
FG02-00ER41132
OSTI ID:
1433563
Alternate ID(s):
OSTI ID: 1501841
Journal Information:
Physical Review. D., Vol. 97, Issue 7; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 46 works
Citation information provided by
Web of Science

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Review of lattice results concerning low-energy particle physics text January 2017
Exclusive processes in position space and the pion distribution amplitude text January 2008
Ioffe-time distributions instead of parton momentum distributions in the description of deep inelastic scattering text January 1995
Nucleon helicity and transversity parton distributions from lattice QCD text January 2016
Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories journal January 1986
Chiral Extrapolation of Lattice Moments of Proton Quark Distributions text January 2001
Review of lattice results concerning low-energy particle physics text January 2016
A complete non-perturbative renormalization prescription for quasi-PDFs text January 2017
Pion distribution amplitude from Euclidean correlation functions text January 2018
Parton distribution function with nonperturbative renormalization from lattice QCD text January 2018
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Nucleon Structure Functions from Operator Product Expansion on the Lattice text January 2017
Pion distribution amplitude from Euclidean correlation functions text January 2018
More on large-momentum effective theory approach to parton physics text January 2017
Pion distribution amplitude from lattice QCD text January 2017
Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme conference March 2018
Renormalization in Large Momentum Effective Theory of Parton Physics text January 2018
Exploring quark transverse momentum distributions with lattice QCD text January 2010
Restoration of Rotational Symmetry in the Continuum Limit of Lattice Field Theories text January 2012
Parton Physics on Euclidean Lattice text January 2013
Parton Physics from Large-Momentum Effective Field Theory preprint January 2014
Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice text January 2014
Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data text January 2016
Non-dipolar Wilson links for quasi-parton distribution functions text January 2016
Nucleon Helicity and Transversity Parton Distributions from Lattice QCD text January 2016
Updated Lattice Results for Parton Distributions text January 2016
Pion Distribution Amplitude from Lattice QCD text January 2017
Lattice corrections to the quark quasidistribution at one-loop text January 2017
The role of the Euclidean signature in lattice calculations of quasi-distributions and other non-local matrix elements text January 2017
A complete non-perturbative renormalization prescription for quasi-PDFs text January 2017
Renormalization in Large Momentum Effective Theory of Parton Physics text January 2017
Nonperturbative partonic quasidistributions of the pion from chiral quark models text January 2017
Gluon quasidistribution function at one loop text January 2017
Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme text January 2017
Partonic quasi-distributions of the proton and pion from transverse-momentum distributions text January 2017
Chiral extrapolation of lattice moments of proton quark distributions text January 2001
Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD text January 2002
Deep-inelastic scattering and the operator product expansion in lattice QCD text January 2005
Improved quasi parton distribution through Wilson line renormalization text January 2016
Sivers and Boer-Mulders observables from lattice QCD text January 2011

Cited By (7)


Figures / Tables (1)