TY - JOUR
T1 - Valence parton distribution function of pion from fine lattice
AU - Izubuchi, Taku
AU - Jin, Luchang
AU - Kallidonis, Christos
AU - Karthik, Nikhil
AU - Mukherjee, Swagato
AU - Petreczky, Peter
AU - Shugert, Charles
AU - Syritsyn, Sergey
N1 - Publisher Copyright:
© 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/" Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP
PY - 2019/8/23
Y1 - 2019/8/23
N2 - 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 parton distribution function matrix element in the nonperturbative regularization independent momentum subtraction (RI-MOM) scheme. As a byproduct, we test the validity of a 1-loop matching procedure by comparing the RI-MOM renormalized quasi parton distribution function 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 parton distribution functions, we obtain the valence parton distribution function of pion.
AB - 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 parton distribution function matrix element in the nonperturbative regularization independent momentum subtraction (RI-MOM) scheme. As a byproduct, we test the validity of a 1-loop matching procedure by comparing the RI-MOM renormalized quasi parton distribution function 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 parton distribution functions, we obtain the valence parton distribution function of pion.
UR - https://www.scopus.com/pages/publications/85072159969
U2 - 10.1103/PhysRevD.100.034516
DO - 10.1103/PhysRevD.100.034516
M3 - Article
AN - SCOPUS:85072159969
SN - 2470-0010
VL - 100
JO - Physical Review D
JF - Physical Review D
IS - 3
M1 - 034516
ER -