Gluon Parton Distribution of the Pion from Lattice QCD

Abstract

We present the first determination of the $x$-dependent pion gluon distribution from lattice QCD using the pseudo-PDF approach. We use lattice ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ), generated by MILC Collaboration, at two lattice spacings $a\approx 0.12$ and 0.15~fm and three pion masses $M_{\pi }\approx 220$, 310 and 690 MeV. We use clover fermions for the valence action and momentum smearing to achieve pion boost momentum up to 2.29 GeV. We find that the dependence of the pion gluon parton distribution on lattice spacing and pion mass is mild. We compare our results from the lightest pion mass ensemble with the determination by JAM and xFitter global fits.

10 pages, 6 figures

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• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Nonperturbatively Renormalized Nucleon Gluon Momentum Fraction in the Continuum Limit of $N_f=2+1+1$ Lattice QCD
• Fixed-target charmonium production and pion parton distributions
• Impact of Charge Symmetry Breaking on Gluon and Sea Quark Distributions in the Pion and Kaon
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach
• Pion GPDs: A path toward phenomenology