Revealing pion and kaon structure via generalised parton distributions

Abstract

Clear windows onto emergent hadron mass (EHM) and modulations thereof by Higgs boson interactions are provided by observable measures of pion and kaon structure, many of which are accessible via generalised parton distributions (GPDs). Beginning with algebraic GPD Ansaetze, constrained entirely by hadron-scale $\pi$ and $K$ valence-parton distribution functions (DFs), in whose forms both EHM and Higgs boson influences are manifest, numerous illustrations are provided. They include the properties of electromagnetic form factors, impact parameter space GPDs, gravitational form factors and associated pressure profiles, and the character and consequences of all-orders evolution. The analyses predict that mass-squared gravitational form factors are stiffer than electromagnetic form factors; reveal that $K$ pressure profiles are tighter than $\pi$ profiles, with both mesons sustaining near-core pressures at magnitudes similar to that expected at the core of neutron stars; deliver parameter-free predictions for $\pi$ and $K$ valence, glue, and sea GPDs at the resolving scale $\zeta =2$GeV; and predict that at this scale the fraction of meson mass-squared carried by glue and sea combined matches that lodged with the valence degrees-of-freedom, with a similar statement holding for mass-squared radii.

arXiv comment22 pages, 19 figures, 2 tables

References in corpus (73)

• Masses, Radii, and Equation of State of Neutron Stars
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Nonforward Parton Distributions
• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Baryons as relativistic three-quark bound states
• Generalized parton distributions and strong forces inside nucleons and nuclei
• Skewed and double distributions in pion and nucleon
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Pion and Kaon Structure at the Electron-Ion Collider
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Exclusive production of pion pairs in gamma^* gamma collisions at large Q^2
• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Transverse Charge Densities
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Crossing and Radon Tomography for Generalized Parton Distributions
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Parton Distribution Functions of the Charged Pion Within The xFitter Framework
• Symmetry, symmetry breaking, and pion parton distributions
• Basic features of the pion valence-quark distribution function
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Pion valence quark distribution from current-current correlation in lattice QCD
• Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
• Effective charge from lattice QCD
• Locating the Gribov horizon
• Perspective on the origin of hadron masses
• Scaling study of the pion electroproduction cross sections and the pion form factor
• Generalized parton distributions of the pion in a Bethe-Salpeter approach
• Empirical Consequences of Emergent Mass
• Positivity Constraints for off-Forward Parton Distributions
• Sketching the pion's valence-quark generalised parton distribution
• Selected Science Opportunities for the EicC
• Deciphering the mechanism of near-threshold $J/\psi$ photoproduction
• Pion and kaon valence-quark quasiparton distributions
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Impressions of the Continuum Bound State Problem in QCD
• Mass-dependence of pseudoscalar meson elastic form factors
• Exposing strangeness: projections for kaon electromagnetic form factors
• Reflections upon the Emergence of Hadronic Mass
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• Vector-meson production and vector meson dominance
• A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
• Drawing insights from pion parton distributions
• Features and flaws of a contact interaction treatment of the kaon
• Contact interaction analysis of pion GTMDs
• Resolving the Bethe-Salpeter kernel
• Covariant Extension of the GPD overlap representation at low Fock states
• Higgs modulation of emergent mass as revealed in kaon and pion parton distributions
• Nucleon elastic form factors at accessible large spacelike momenta
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• Measures of pion and kaon structure from generalised parton distributions
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Pion Generalized Parton Distributions within a fully covariant constituent quark model
• Distribution amplitudes of radially-excited pi- and K-mesons
• An Analysis of Parton Distribution Functions of the Pion and the Kaon with the Maximum Entropy Input
• Separated Kaon Electroproduction Cross Section and the Kaon Form Factor from 6 GeV JLab Data
• Double distributions: Loose ends
• Tomography of light mesons in light-cone quark model
• Pion charge radius from pion+electron elastic scattering data
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• Pion Parton Distribution Function in Light-Front Holographic QCD
• Femtoscopy of the Origin of the Nucleon Mass
• Towards studying the structural differences between the pion and its radial excitation
• Regarding the distribution of glue in the pion