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Title: Valence parton distribution function of pion from fine lattice

Abstract

We present a lattice QCD study of the valence parton distribution inside the pion within the framework of Large Momentum Effective Theory. We use a mixed action approach with 1-HYP smeared valence Wilson clover quarks on 2+1 flavor HISQ sea with the valence quark mass tuned to 300 MeV pion mass. We use 48 3×64 lattice at a fine lattice spacing a = 0.06 fm for this computation. We renormalize the quasi-PDF matrix element in the non-perturbative RI-MOM scheme. As a byproduct, we test the validity of 1-loop matching procedure by comparing the RI-MOM renormalized quasi-PDF matrix element with off-shell quark external states as computed in the continuum 1-loop perturbation theory with the lattice results at a = 0.04 and 0.06 fm. By applying the RI-MOM to $$\bar{M}\bar{S}$$ one-loop matching, implemented through a fit to phenomenologically motivated PDFs, we obtain the valence PDF of pion.

Authors:
 [1];  [2];  [3];  [1];  [1];  [1];  [4];  [4]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Connecticut, Storrs, CT (United States)
  3. Stony Brook Univ., Stony Brook, NY (United States)
  4. Brookhaven National Lab. (BNL), Upton, NY (United States); Stony Brook Univ., Stony Brook, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1558735
Alternate Identifier(s):
OSTI ID: 1562466
Report Number(s):
BNL-212091-2019-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
SC0012704; AC05-00OR22725; AC02-06CH11357; 16-37
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; valence; pion; lattice; OCD; parton; HISO; flavor

Citation Formats

Izubuchi, Taku, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, and Syritsyn, Sergey. Valence parton distribution function of pion from fine lattice. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.034516.
Izubuchi, Taku, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, & Syritsyn, Sergey. Valence parton distribution function of pion from fine lattice. United States. doi:10.1103/PhysRevD.100.034516.
Izubuchi, Taku, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, and Syritsyn, Sergey. Fri . "Valence parton distribution function of pion from fine lattice". United States. doi:10.1103/PhysRevD.100.034516.
@article{osti_1558735,
title = {Valence parton distribution function of pion from fine lattice},
author = {Izubuchi, Taku and Jin, Luchang and Kallidonis, Christos and Karthik, Nikhil and Mukherjee, Swagato and Petreczky, Peter and Shugert, Charles and Syritsyn, Sergey},
abstractNote = {We present a lattice QCD study of the valence parton distribution inside the pion within the framework of Large Momentum Effective Theory. We use a mixed action approach with 1-HYP smeared valence Wilson clover quarks on 2+1 flavor HISQ sea with the valence quark mass tuned to 300 MeV pion mass. We use 483×64 lattice at a fine lattice spacing a = 0.06 fm for this computation. We renormalize the quasi-PDF matrix element in the non-perturbative RI-MOM scheme. As a byproduct, we test the validity of 1-loop matching procedure by comparing the RI-MOM renormalized quasi-PDF matrix element with off-shell quark external states as computed in the continuum 1-loop perturbation theory with the lattice results at a = 0.04 and 0.06 fm. By applying the RI-MOM to $\bar{M}\bar{S}$ one-loop matching, implemented through a fit to phenomenologically motivated PDFs, we obtain the valence PDF of pion.},
doi = {10.1103/PhysRevD.100.034516},
journal = {Physical Review D},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.034516

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

FIG. 1 FIG. 1: The effective masses $E$eff from the pion two point functions with the boosted Coulomb gauge Gaussian source and sink for different momenta as a function of the source-sink separation t. The horizontal lines are the energy levels from the continuum dispersion relation with $m$$π$= 300 MeV.

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