Published 2019 | Version v1
Journal article

Valence parton distribution function of pion from fine lattice

Description

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.

Availability note (English)

Available from https://www.osti.gov/biblio/1558735; DOE Accepted Manuscript full text, or the publishers Best Available Version will be available free of charge after the embargo period

Additional details

Publishing Information

Journal Title
Physical Review D
Journal Volume
100
Journal Issue
3
Journal Page Range
vp.
ISSN
2470-0010