Pion and kaon parton distribution functions from basis light front quantization and QCD evolution

Abstract

We investigate the parton distribution functions (PDFs) of the pion and the kaon by combining quantum chromodynamics (QCD) evolution with the basis light front quantization. The initial PDFs result from the light front wave functions obtained by diagonalizing the effective Hamiltonian consisting of the holographic QCD confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu--Jona-Lasinio interactions. The valence-quark PDF of the pion, after QCD evolution, is consistent with the result from the E-0615 experiment at Fermilab. Meanwhile, the pion structure function calculated from the PDFs agrees with the ZEUS and the H1 experiments at DESY-HERA for large $x$. Additionally, the ratio of the up quark PDF of the kaon to that of the pion is in agreement with the NA-003 experiment at CERN. We also present the cross section for the pion-nucleus induced Drell-Yan process with the obtained pion PDFs supplemented by the PDFs of the target nuclei.

arXiv comment16 pages, 10 figures

References in corpus (72)

• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• Parton distributions from high-precision collider data
• New parton distribution functions from a global analysis of quantum chromodynamics
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Parton distributions in the LHC era: MMHT 2014 PDFs
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Light-Front Holographic QCD and Emerging Confinement
• nCTEQ15 - Global analysis of nuclear parton distributions with uncertainties in the CTEQ framework
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• A Higher Order Perturbative Parton Evolution Toolkit (HOPPET)
• Parton distributions and lattice QCD calculations: a community white paper
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Pionic Parton Distributions Revisited
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Hamiltonian light-front field theory in a basis function approach
• Distribution Functions of the Nucleon and Pion in the Valence Region
• First Monte Carlo global QCD analysis of pion parton distributions
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• Heavy Quarkonium in a Holographic Basis
• The pion parton distribution function in the valence region
• Valence-quark distributions in the pion
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• Quarkonium as relativistic bound state on the light front
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Leading neutron production in $e^{+}p$ collisions at HERA
• Measurement of Leading Neutron Production in Deep-Inelastic Scattering at HERA
• Valence-quark distribution functions in the kaon and pion
• Basis Light-Front Quantization Approach to Positronium
• Pion and kaon valence-quark parton distribution functions
• Generalized Parton Distributions at x->1
• Pion Structure Function in the Nambu and Jona-Lasinio model
• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Electron g-2 in Light-Front Quantization
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Pion and kaon valence-quark quasiparton distributions
• Parton distribution functions in the pion from lattice QCD
• Scattering in Time-Dependent Basis Light-Front Quantization
• Distinguishing Quarks and Gluons in Pion and Kaon PDFs
• Mesonic Parton Densities Derived From Constituent Quark Model Constraints
• $B_c$ mesons and their properties on the light front
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
• Pion Distribution Amplitude and Quasi-Distributions
• Single Transverse-Spin Asymmetries at Large-x
• Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front
• Quark-hadron duality in electron-pion scattering
• Non-perturbative quantum time evolution on the light-front
• Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
• Pion light-front wave function, parton distribution and the electromagnetic form factor
• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Diffractive charmonium spectrum in high energy collisions in the basis light-front quantization approach
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Kaon quark distribution functions in the chiral constituent quark model
• Generalized parton distributions in a light-front nonperturbative approach
• Form Factors and Generalized Parton Distributions in Basis Light-Front Quantization
• An approximate approach to the nonlinear DGLAP evaluation equation
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Shadowing correction to the gluon distribution behavior at small x
• Frame dependence of form factors in light-front dynamics
• NNLO solution of nonlinear GLR-MQ evolution equation to determine gluon distribution function using Regge like ansatz
• Analytical approach for the approximate solution of the longitudinal structure function with respect to the GLR-MQ equation at small x
• Nonlinear correction to the longitudinal structure function at small x
• Nonlinear effects in gluon distribution predicted by GLR-MQ evolution equation at next-to-leading order in LHC data
• From EMC- and Cronin-effects to signals of quark-gluon plasma
• Analysis of the logarithmic slope of $F_2$ from the Regge gluon density behavior at small $x$
• Parton distribution functions from scalar light-front parton gas model
• The Pion Cloud: Insights into Hadron Structure

Cited by in corpus (58)

• 50 Years of Quantum Chromodynamics
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Selected Science Opportunities for the EicC
• Nucleon structure from basis light-front quantization
• Proton structure from a light-front Hamiltonian
• Light mesons with one dynamical gluon on the light front
• Reflections upon the Emergence of Hadronic Mass
• Gluon Parton Distribution of the Pion from Lattice QCD
• Parton Distribution Functions of Heavy Mesons on the Light Front
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
• Concerning pion parton distributions
• Light-Front Field Theory on Current Quantum Computers
• Contact interaction analysis of pion GTMDs
• Measures of pion and kaon structure from generalised parton distributions
• The pion and kaon $⟨x^3⟩$ from lattice QCD and PDF reconstruction from Mellin moments
• Angular momentum and generalized parton distributions for the proton with basis light-front quantization
• Spatial and Momentum Imaging of the Pion and Kaon
• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• All-charm tetraquark in front form dynamics
• Complementarity of experimental and lattice QCD data on pion parton distributions
• Observing the Minkowskian dynamics of the pion on the null-plane
• Tomography of light mesons in light-cone quark model
• Spatial imaging of proton via leading-twist non-skewed GPDs with basis light-front quantization
• Transverse structure of the pion beyond leading twist with basis light-front quantization
• Hadron Interactions for Arbitrary Energies and Species, with Applications to Cosmic rays
• Constraining gluon density of pions at large $x$ by pion-induced $J/\psi$ production
• Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
• Basis light-front quantization approach to $\Lambda$ and ${\Lambda }_c$ and their isospin triplet baryons
• Pion to photon transition form factors with basis light-front quantization
• Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization
• The pion in the graviton soft-wall model: phenomenological applications
• Efficient Quantum Simulation of QCD Jets on the Light Front
• 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
• Scattering in strong electromagnetic fields: transverse size effects in tBLFQ
• Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Gravitational form factor $D$ of charmonium from shear stress
• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• Stress out of charmonia
• Fixed-target charmonium production and pion parton distributions
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• Pion-nucleus induced Drell-Yan cross section in models inspired by light-front holography
• Double parton distributions of the proton from basis light-front quantization
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Process-independent effective coupling and the pion structure function
• Basis light-front quantization approach to nucleon
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation
• An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature
• Parton Distribution Functions for Pseudoscalar Mesons in the COnfining Effective Chiral Quark Theory
• Revealing pion and kaon structure via generalised parton distributions
• Determination of the pion generalized parton distributions at zero skewness
• Searching for $a_0(980)$-meson parton distribution function
• Nucleon form factors from basis light front quantization
• Pion GPDs: A path toward phenomenology
• Regarding the distribution of glue in the pion
• Transition form factors for $D/B$ to $a_0(980)$ from light-cone QCD sum rules