Gluon distributions and their applications to Ioffe-time distributions

Abstract

We investigate unpolarized and polarized gluon distributions and their applications to the Ioffe-time distributions, which are related to lattice QCD calculations of parton distribution functions. Guided by the counting rules based on the perturbative QCD at large momentum fraction $x$ and the color coherence of gluon couplings at small $x$, we parametrize gluon distributions in the helicity basis. By fitting the unpolarized gluon distribution, the inferred polarized gluon distribution from our parametrization agrees with the one from global analysis. A simultaneous fit to both unpolarized and polarized gluon distributions is also performed to explore the model uncertainty. The agreement with the global analysis supports the $(1-x)$ power suppression of the helicity-antialigned distribution relative to the helicity-aligned distribution. The corresponding Ioffe-time distributions and their asymptotic expansions are calculated from the gluon distributions. Our results of the Ioffe-time distributions can provide guidance to the extrapolation of lattice QCD data to the region lacking precise gluonic matrix elements. Therefore, they can help regulate the ill-posed inverse problem associated with extracting the gluon distributions from discrete data from first-principle calculations, which are available in a limited range of the nucleon momentum and the spatial separation between the gluonic currents. Given various limitations in obtaining lattice QCD data at large Ioffe time, phenomenological approaches can provide important complementary information to extract the gluon distributions in the entire $x$ region. The possibility of investigating higher-twist effects and other systematic uncertainties in the contemporary first-principle calculations of parton distributions from phenomenologically well-determined Ioffe-time distributions in the large Ioffe-time region is also discussed.

arXiv commentPRD published version (13 pages, 9 figures)

References in corpus (60)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Parton distributions from high-precision collider data
• New parton distribution functions from a global analysis of quantum chromodynamics
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Parton distributions in the LHC era: MMHT 2014 PDFs
• Parton Physics on Euclidean Lattice
• New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
• The Intrinsic Glue Distribution at Very Small x
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Models for the Polarized Parton Distributions of the Nucleon
• The angular momentum controversy: What's it all about and does it matter?
• A first unbiased global determination of polarized PDFs and their uncertainties
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Evidence for polarization of gluons in the proton
• QCD Constrains on the Shape of Polarized Quark and Gluon Distributions
• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• Polarized Parton Distributions in the Nucleon
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• First simultaneous extraction of spin-dependent parton distributions and fragmentation functions from a global QCD analysis
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Exclusive processes in position space and the pion distribution amplitude
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• Electron Ion Collider: The Next QCD Frontier - Understanding the glue that binds us all
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
• Gluon polarization in the nucleon from quasi-real photoproduction of high-pT hadron pairs
• The Spin Structure Function $g_1^{\mathrm{p}}$ of the Proton and a Test of the Bjorken Sum Rule
• Ioffe-time distributions instead of parton momentum distributions in description of deep inelastic scattering
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• Longitudinal Polarized Parton Densities Updated
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Pion valence quark distribution from current-current correlation in lattice QCD
• Accessing gluon parton distributions in large momentum effective theory
• The gluon spin contribution to the proton spin from the double helicity asymmetry in inclusive pi^0 production in polarized p+p collisions at sqrt(s)=200 GeV
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• Gluon quasidistribution function at one loop
• Glue spin and helicity in proton from lattice QCD
• Small-$x$ Asymptotics of the Gluon Helicity Distribution
• Leading and Next-to-Leading Order Gluon Polarisation in the Nucleon and Longitudinal Double Spin Asymmetries from Open Charm Muoproduction
• Physics of Gluon Helicity Contribution to Proton Spin
• Leading-Order Determination of the Gluon Polarization from high-$p_T$ Hadron Electroproduction
• Multiplicative renormalizability of quasi-parton operators
• Gluon Pseudo-Distributions at Short Distances: Forward Case
• A Lattice Study of the Glue in the Nucleon
• Confronting lattice parton distributions with global QCD analysis
• Towards the nucleon hadronic tensor from lattice QCD
• Parton distributions from lattice data: the nonsinglet case
• Constraints on charm-anticharm asymmetry in the nucleon from lattice QCD
• On the power divergence in quasi gluon distribution function
• Unified Description of Polarized and Unpolarized Quark Distributions in the Proton
• Nonperturbative strange-quark sea from lattice QCD, light-front holography, and meson-baryon fluctuation models
• The Frame-Independent Spatial Coordinate $\tilde{z}$: Implications for Light-Front Wave Functions, Deep Inelastic Scattering, Light-Front Holography, and Lattice QCD Calculations
• Parton distribution functions from lattice QCD using Bayes-Gauss-Fourier transforms
• Proton spin after 30 years: what we know and what we don't?
• Physically Motivated Approximation to a Parton Distribution Function in QCD

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• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Gluon Parton Distribution of the Pion from Lattice QCD
• Proton and pion distribution functions in counterpoint
• Towards the determination of the gluon helicity distribution in the nucleon from lattice quantum chromodynamics
• Gluon matter distribution in the proton and pion from extended holographic light-front QCD
• Gluon distributions in the proton in a light-front spectator model
• First Glimpse into the Kaon Gluon Parton Distribution Using Lattice QCD
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Gluon parton densities in soft-wall AdS/QCD
• Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Polarized and unpolarized gluon PDFs: generative machine learning applications for lattice QCD matrix elements at short distance and large momentum
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics