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.

22 pages, 19 figures, 2 tables

References in corpus (15)

• Baryons as relativistic three-quark bound states
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Basic features of the pion valence-quark distribution function
• Scaling study of the pion electroproduction cross sections and the pion form factor
• Empirical Consequences of Emergent Mass
• Vector-meson production and vector meson dominance
• Covariant Extension of the GPD overlap representation at low Fock states
• Measures of pion and kaon structure from generalised parton distributions
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Pion charge radius from pion+electron elastic scattering data
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• Femtoscopy of the Origin of the Nucleon Mass
• Regarding the distribution of glue in the pion