Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider

Abstract

How the bulk of the Universe's visible mass emerges and how it is manifest in the existence and properties of hadrons are profound questions that probe into the heart of strongly interacting matter. Paradoxically, the lightest pseudoscalar mesons appear to be the key to the further understanding of the emergent mass and structure mechanisms. These mesons, namely the pion and kaon, are the Nambu-Goldstone boson modes of QCD. Unravelling their partonic structure and the interplay between emergent and Higgs-boson mass mechanisms is a common goal of three interdependent approaches -- continuum QCD phenomenology, lattice-regularised QCD, and the global analysis of parton distributions -- linked to experimental measurements of hadron structure. Experimentally, the foreseen electron-ion collider will enable a revolution in our ability to study pion and kaon structure, accessed by scattering from the "meson cloud" of the proton through the Sullivan process. With the goal of enabling a suite of measurements that can address these questions, we examine key reactions to identify the critical detector system requirements needed to map tagged pion and kaon cross sections over a wide range of kinematics. The excellent prospects for extracting pion structure function and form factor data are shown, and similar prospects for kaon structure are discussed in the context of a worldwide programme. Successful completion of the programme outlined herein will deliver deep, far-reaching insights into the emergence of pions and kaons, their properties, and their role as QCD's Goldstone boson modes.

arXiv comment73 pages, 27 figures

References in corpus (123)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Generalized Parton Distributions
• Parton Physics on Euclidean Lattice
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Pion mass and decay constant
• Baryons as relativistic three-quark bound states
• Soft-core baryon-baryon potentials for the complete baryon octet
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• QCD Constrains on the Shape of Polarized Quark and Gluon Distributions
• Measurement of the Charged Pion Electromagnetic Form Factor
• Measurement of the Light Antiquark Flavor Asymmetry in the Nucleon Sea
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• 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
• Parton distributions and lattice QCD calculations: a community white paper
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Determination of the pion charge form factor for Q^2=0.60-1.60 GeV^2
• Nucleon structure functions from lattice operator product expansion
• Exclusive processes in position space and the pion distribution amplitude
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Pion electromagnetic form factor at spacelike momenta
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Pion and Kaon Structure at the Electron-Ion Collider
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• First Monte Carlo global QCD analysis of pion parton distributions
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• The pion: an enigma within the Standard Model
• Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• The pion parton distribution function in the valence region
• Valence-quark distributions in the pion
• Nonperturbative Evolution of Parton Quasi-Distributions
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Charged pion form factor between $Q^2$=0.60 and 2.45 GeV${}^2$. I. Measurements of the cross section for the ${}^1$H($e,e^{\prime }{\pi }^{+}$)$n$ reaction
• Valence parton distribution function of pion from fine lattice
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Pion form factor in QCD: From nonlocal condensates to NLO analytic perturbation theory
• Parton Distribution Functions of the Charged Pion Within The xFitter Framework
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Symmetry, symmetry breaking, and pion parton distributions
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• First Monte Carlo global analysis of nucleon transversity with lattice QCD constraints
• Hadron structure in high-energy collisions
• Leading neutron production in $e^{+}p$ collisions at HERA
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• Pion valence quark distribution from current-current correlation in lattice QCD
• Measurement of Leading Neutron Production in Deep-Inelastic Scattering at HERA
• Pion generalized parton distribution from lattice QCD
• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Parton Degrees of Freedom from the Path-Integral Formalism
• Accessing gluon parton distributions in large momentum effective theory
• Gluon Quasi-PDF From Lattice QCD
• Scaling study of the pion electroproduction cross sections and the pion form factor
• Generalized Parton Distributions at x->1
• Empirical Consequences of Emergent Mass
• Valence QCD: Connecting QCD to the Quark Model
• Extracting the sigma-term from low-energy pion-nucleon scattering
• The spin structure of the pion
• Light-Front Bethe-Salpeter Equation
• The asymptotic behaviour of parton distributions at small and large $x$
• Selected Science Opportunities for the EicC
• Valence-Quark Distribution of the Kaon and Pion from Lattice QCD
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Pion and kaon valence-quark quasiparton distributions
• Pairs in the light-front and covariance
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Pion distribution amplitude from Euclidean correlation functions
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• Impressions of the Continuum Bound State Problem in QCD
• Parton distributions with threshold resummation
• Separation of the Longitudinal and Transverse Cross Sections in the p(ee'K)Lambda and p(ee'K)Sigma Reactions
• Three Lectures on Hadron Physics
• Do the E866 Drell Yan data change our picture of the chiral structure of the nucleon ?
• Mass-dependence of pseudoscalar meson elastic form factors
• Generalized Parton Distributions and Pseudo-Distributions
• Gluon Pseudo-Distributions at Short Distances: Forward Case
• Exposing strangeness: projections for kaon electromagnetic form factors
• Reflections upon the Emergence of Hadronic Mass
• Confronting lattice parton distributions with global QCD analysis
• Drawing insights from pion parton distributions
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• Pion structure function from leading neutron electroproduction and SU(2) flavor asymmetry
• Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model
• Advances in solving the two-fermion homogeneous Bethe-Salpeter equation in Minkowski space
• Contact interaction analysis of pion GTMDs
• Higgs modulation of emergent mass as revealed in kaon and pion parton distributions
• QCD Factorization and PDFs from Lattice QCD Calculation
• Target Fragmentation in $pp$, $ep$ and $\gamma p$ Collisions at High Energies
• Off-shell persistence of composite pions and kaons
• Measures of pion and kaon structure from generalised parton distributions
• An Enhanced Threshold Resummation Formalism for Lepton Pair Production and Its Effects in the Determination of Parton Distribution Functions
• Pion Generalized Parton Distributions within a fully covariant constituent quark model
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• The Frame-Independent Spatial Coordinate $\tilde{z}$: Implications for Light-Front Wave Functions, Deep Inelastic Scattering, Light-Front Holography, and Lattice QCD Calculations
• Quark-hadron duality in electron-pion scattering
• Charting the coming synergy between lattice QCD and high-energy phenomenology
• Quantifying finite-momentum effects in meson quasi-PDFs
• Towards the three-dimensional parton structure of the pion: Integrating transverse momentum data into global QCD analysis
• Separated Kaon Electroproduction Cross Section and the Kaon Form Factor from 6 GeV JLab Data
• Observing the Minkowskian dynamics of the pion on the null-plane
• Meson Mass Decomposition from Lattice QCD
• Cross sections and Rosenbluth separations in 1H(e, e'K+)Lambda up to Q2=2.35 GeV2
• Spin structure of the pion from the instanton vacuum
• Measurement of Leading Proton and Neutron Production in Deep Inelastic Scattering at HERA
• Pion Parton Distribution Function in Light-Front Holographic QCD
• Reggeon and pion contributions in semi-exclusive diffractive processes at HERA
• Charged pion electroproduction above the resonance region
• Pion and proton form factors in the Regge description of electroproduction $p(e,e^{\prime }{\pi }^{+})n$
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Pion off-shell electromagnetic form factors: data extraction and model analysis
• Threshold-Resummed Cross Section for the Drell-Yan Process in Pion-Nucleon Collisions at COMPASS
• Separated Response Function Ratios in Exclusive, Forward pi^{+/-} Electroproduction
• Solutions of the Bethe-Salpeter Equation in Minkowski space: a comparative study
• Separated Response Functions in Exclusive, Forward ${\pi }^{\pm }$ Electroproduction on Deuterium
• Phenomenological implications of the nucleon's meson cloud

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• Emergence of pion parton distributions
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
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• Parton distributions of light quarks and antiquarks in the proton
• Dynamical diquarks in the ${\mathbf{\gamma }}^{(\ast )}\mathbf{p}\to \mathbf{N}(1535){\frac{1}{2}}^{-}$ transition
• First Glimpse into the Kaon Gluon Parton Distribution Using Lattice QCD
• Complementarity of experimental and lattice QCD data on pion parton distributions
• Pion charge radius from pion+electron elastic scattering data
• Hadron and light nucleus radii from electron scattering
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Schwinger mechanism for gluons from lattice QCD
• The scalar, vector and tensor form factors for the pion and kaon from lattice QCD
• QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Dynamical mass generation in Minkowski space at QCD scale
• Quark anomalous magnetic moment and its effects on the $\rho$ meson properties
• Empirical Determination of the Pion Mass Distribution
• Origin of the Proton Mass
• Pion scalar, vector and tensor form factors from a contact interaction
• Revisiting the pion Regge trajectories
• Off-shell generalized parton distributions and form factors of the pion
• Gluon and valence quark distributions for the pion and kaon in nuclear matter
• Heavy+light pseudoscalar meson semileptonic transitions
• Tackling the kaon structure function at EicC
• Nonperturbatively Renormalized Nucleon Gluon Momentum Fraction in the Continuum Limit of $N_f=2+1+1$ Lattice QCD
• The time-like electromagnetic kaon form factor
• Pauli radius of the proton
• Hadron Structure using Continuum Schwinger Function Methods
• Spin-orbit correlation and spatial distributions for spin-0 hadrons
• Scalar, Vector and Tensor Form Factors of Pion and Kaon
• Proton image and momentum distributions from light-front dynamics
• Understanding the Valence Quark Structure of the Pion through GTMDs
• K0 and K+ meson electromagnetic form factors: a nonperturbative relativistic quark model versus experimental, perturbative and lattice Quantum-Chromodynamics results
• Proton quark distributions from a light-front Faddeev-Bethe-Salpeter approach
• Pion inspired by QCD: Nakanishi and Light-Front Integral Representations
• Pseudoscalar Meson Parton Distributions Within Gauge-Invariant Nonlocal Chiral Quark Model
• Revealing pion and kaon structure via generalised parton distributions
• Gluon distributions and mass decompositions of the pion and kaon
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation
• Impact of Charge Symmetry Breaking on Gluon and Sea Quark Distributions in the Pion and Kaon
• Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections
• Pion PDFs confronted by Fixed-Target Charmonium Production
• Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC
• Regarding the distribution of glue in the pion
• Pion generalized parton distributions at zero skewness