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Title: Valence parton distribution function of pion from fine lattice

Journal Article · · Physical Review. D.

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 = 0.06fm for this computation. Were normalize 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 MS one-loop matching, implemented through a fit to phenomenologically motivated PDFs, we obtain the valence PDF of pion.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States); Univ. of Connecticut, Storrs, CT (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC05-00OR22725; AC02-06CH11357; SC0012704; 16-37; SC0010339
OSTI ID:
1558735
Alternate ID(s):
OSTI ID: 1562466; OSTI ID: 1583116; OSTI ID: 1596007
Report Number(s):
BNL-212091-2019-JAAM; BNL-213523-2020-JAAM; PRVDAQ; 034516
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Vol. 100 Journal Issue: 3; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 78 works
Citation information provided by
Web of Science

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Figures / Tables (21)


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