Valence parton distribution function of pion from fine lattice

摘要

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 4 8 3 × 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 ˉ one-loop matching, implemented through a fit to phenomenologically motivated parton distribution functions, we obtain the valence parton distribution function of pion.