Valence-Quark Distribution of the Kaon and Pion from Lattice QCD

Abstract

We present the first lattice-QCD calculation of the kaon valence-quark distribution functions using the large-momentum effective theory (LaMET) approach. The calculation is performed with multiple pion masses with the lightest one around 220 MeV, 2 lattice spacings $a=0.06$ and 0.12 fm, $(M_{\pi }{)}_{\text{min}}L\approx 5.5$, and high statistics ranging from 11,600 to 61,312 measurements. We also calculate the valence-quark distribution of pion and find it to be consistent with the FNAL E615 experimental results, and our ratio of the $u$ quark PDF in the kaon to that in the pion agrees with the CERN NA3 experiment. We also make predictions of the strange-quark distribution of the kaon.

References in corpus (55)

• Parton distributions from high-precision collider data
• New parton distribution functions from a global analysis of quantum chromodynamics
• The Chroma Software System for Lattice QCD
• Parton Physics on Euclidean Lattice
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• A first unbiased global determination of polarized PDFs and their uncertainties
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Constraints on large-$x$ parton distributions from new weak boson production and deep-inelastic scattering data
• A Higher Order Perturbative Parton Evolution Toolkit (HOPPET)
• 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
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
• Flavor Structure of the Nucleon Sea from Lattice QCD
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Novel quark smearing for hadrons with high momenta in lattice QCD
• Nucleon structure functions from lattice operator product expansion
• Exclusive processes in position space and the pion distribution amplitude
• A Lattice Calculation of Parton Distributions
• A complete non-perturbative renormalization prescription for quasi-PDFs
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• Pion and Kaon Structure at the Electron-Ion Collider
• Perturbative Renormalization of quasi-PDFs
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Pion Distribution Amplitude from Lattice QCD
• Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
• The pion parton distribution function in the valence region
• Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Updated Lattice Results for Parton Distributions
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Valence parton distribution function of pion from fine lattice
• Axial Vector Form Factors of the Nucleon from Lattice QCD
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
• Pion valence quark distribution from current-current correlation in lattice QCD
• Measurement of Leading Neutron Production in Deep-Inelastic Scattering at HERA
• Valence-quark distribution functions in the kaon and pion
• Pion generalized parton distribution from lattice QCD
• Pion and kaon valence-quark parton distribution functions
• Improved Parton Distribution Functions at Physical Pion Mass
• Pion distribution amplitude from Euclidean correlation functions
• Distinguishing Quarks and Gluons in Pion and Kaon PDFs
• Mesonic Parton Densities Derived From Constituent Quark Model Constraints
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• Universality of Mixed Action Extrapolation Formulae
• Machine-Learning Prediction for Quasi-PDF Matrix Elements
• Kaon quark distribution functions in the chiral constituent quark model
• Lattice calculation of hadronic tensor of the nucleon

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• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
• Threshold resummation for computing large-$x$ parton distribution through large-momentum effective theory
• First Glimpse into the Kaon Gluon Parton Distribution Using Lattice QCD
• Complementarity of experimental and lattice QCD data on pion parton distributions
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
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• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Towards studying the structural differences between the pion and its radial excitation
• Quark distribution inside a pion in many-flavor (2 + 1)-dimensional QCD using lattice computations: UV listens to IR
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• Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD
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• Chiral Perturbation for Large Momentum Effective Field Theory
• Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Parton physics of the large-$N_c$ mesons
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• Searching for $a_0(980)$-meson parton distribution function
• Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach
• Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics
• Renormalon effect of quasi-PDF in gradient flow formalism
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme