Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics

Abstract

In this study, we present a determination of the unpolarized gluon Ioffe-time distribution in the nucleon from a first principles lattice quantum chromodynamics calculation. We carry out the lattice calculation on a $32^3\times 64$ ensemble with a pion mass of $358$ MeV and lattice spacing of $0.094$ fm. We construct the nucleon interpolating fields using the distillation technique, flow the gauge fields using the gradient flow, and solve the summed generalized eigenvalue problem to determine the glounic matrix elements. Combining these techniques allows us to provide a statistically well-controlled Ioffe-time distribution and unpolarized gluon PDF. We obtain the flow time independent reduced Ioffe-time pseudo-distribution, and calculate the light-cone Ioffe-time distribution and unpolarized gluon distribution function in the $\overline{\mathrm{MS}}$ scheme at $\mu =2$ GeV, neglecting the mixing of the gluon operator with the quark singlet sector. Finally, we compare our results to phenomenological determinations.

23 pages, 12 figures, Phys Rev D accepted version

References in corpus (22)

• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Electron-Ion Collider in China
• High-precision scale setting in lattice QCD
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Parton distributions and lattice QCD calculations: toward 3D structure
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• The nucleon spin and momentum decomposition using lattice QCD simulations
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Simultaneous Monte Carlo analysis of parton densities and fragmentation functions
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• Lattice continuum-limit study of nucleon quasi-PDFs
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• Flavor decomposition for the proton helicity parton distribution functions
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Gluon distributions and their applications to Ioffe-time distributions
• Distillation at High-Momentum
• The Positive-Parity Baryon Spectrum and the Role of Hybrid Baryons