Insights into the Emergence of Mass from Studies of Pion and Kaon Structure

Abstract

There are two mass generating mechanisms in the standard model of particle physics (SM). One is related to the Higgs boson and fairly well understood. The other is embedded in quantum chromodynamics (QCD), the SM's strong interaction piece; and although responsible for emergence of the roughly 1 GeV mass scale that characterises the proton and hence all observable matter, the source and impacts of this emergent hadronic mass (EHM) remain puzzling. As bound states seeded by a valence-quark and -antiquark, pseudoscalar mesons present a simpler problem in quantum field theory than that associated with the nucleon. Consequently, there is a large array of robust predictions for pion and kaon properties whose empirical validation will provide a clear window onto many effects of both mass generating mechanisms and the constructive interference between them. This has now become significant because new-era experimental facilities, in operation, construction, or planning, are capable of conducting such tests and thereby contributing greatly to resolving the puzzles of EHM. These aspects of experiment, phenomenology, and theory, along with contemporary successes and challenges, are sketched herein, simultaneously highlighting the potential gains that can accrue from a coherent effort aimed at finally reaching an understanding of the character and structure of Nature's Nambu-Goldstone modes.

arXiv comment110 pages, 41 figures, 5 tables. Accepted for publication in Prog. Part. Nucl. Phys

References in corpus (253)

• 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
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Heavy Quark Symmetry
• Masses, Radii, and Equation of State of Neutron Stars
• The anomalous magnetic moment of the muon in the Standard Model
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Factorization for hard exclusive electroproduction of mesons in QCD
• FLAG Review 2019
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• The Belle II Physics Book
• pi- and K-meson Bethe-Salpeter Amplitudes
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Baryons as relativistic three-quark bound states
• The Physics of the B Factories
• Generalized parton distributions and strong forces inside nucleons and nuclei
• Pinch Technique: Theory and Applications
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Precision Determination of the Neutron Spin Structure Function g1n
• Exclusive photoproduction of J/psi mesons at HERA
• Soft-core baryon-baryon potentials for the complete baryon octet
• Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Elastic J/Psi Production at HERA
• QCD Constrains on the Shape of Polarized Quark and Gluon Distributions
• Measurement of the Charged Pion Electromagnetic Form Factor
• Measurement of the Neutron Spin Structure Function $g_1^n$ with a Polarized ^3He Target
• The Deuteron Spin-dependent Structure Function g1d and its First Moment
• Explanation and Prediction of Observables using Continuum Strong QCD
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Deep Inelastic Scattering of Polarized Electrons by Polarized ${}^3$He and the Study of the Neutron Spin Structure
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• The QCD Running Coupling
• Measurements of the $Q^2$-Dependence of the Proton and Neutron Spin Structure Functions g1p and g1n
• 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
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• Measurement of the Proton Spin Structure Function g1p with a Pure Hydrogen Target
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Pionic Parton Distributions Revisited
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Determination of the pion charge form factor for Q^2=0.60-1.60 GeV^2
• Exclusive electroproduction of J/psi mesons at HERA
• Measurement of the Deuteron Spin Structure Function g_1^d(x) for 1 (GeV/c)^2 < Q^2 < 40 (GeV/c)^2
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Light mesons in QCD and unquenching effects from the 3PI effective action
• Model independent extraction of the proton charge radius from electron scattering
• The Spin-dependent Structure Function of the Proton g_1^p and a Test of the Bjorken Sum Rule
• Precision Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetries A2
• Perturbative Renormalization of quasi-PDFs
• First Monte Carlo global QCD analysis of pion parton distributions
• The pion: an enigma within the Standard Model
• Process-independent strong running coupling
• Updated measurements of exclusive $J/\psi$ and $\psi (2S)$ production cross-sections in $pp$ collisions at $\sqrt{s}=7$ TeV
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Measurements of the Proton and Deuteron Spin Structure Function g2 and Asymmetry A2
• q\bar q$ bound states in the Bethe-Salpeter formalism
• Pseudoscalar Meson Radial Excitations
• On the running coupling constant in QCD
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
• Coherent Nuclear Diffractive Production of Minijets - Illuminating Color Transparency
• Gluon gravitational form factors of the nucleon and the pion from lattice QCD
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• The pion parton distribution function in the valence region
• Diffractive Electroproduction of rho and phi Mesons at HERA
• Essence of the vacuum quark condensate
• Exclusive $J/\psi$ and $\psi (2S)$ production in $pp$ collisions at $\sqrt{s}=7$ TeV
• Generalized parton correlation functions for a spin-0 hadron
• Next-to-Leading Order QCD Analysis of Polarized Deep Inelastic Scattering Data
• Pion form factor from a contact interaction
• 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
• The Spin Structure Function $g_1^{\mathrm{p}}$ of the Proton and a Test of the Bjorken Sum Rule
• Valence parton distribution function of pion from fine lattice
• Confinement contains condensates
• Exclusive Electroproduction of ${\rho }^0$ and $J/\psi$ Mesons at HERA
• Tracing masses of ground-state light-quark mesons
• Exclusive rho^0 production in deep inelastic scattering at HERA
• Spectral functions of confined particles
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• Structure of the neutral pion and its electromagnetic transition form factor
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Electromagnetic properties of ground and excited state pseudoscalar mesons
• Symmetry preserving truncations of the gap and Bethe-Salpeter equations
• Ioffe-time distributions instead of parton momentum distributions in description of deep inelastic scattering
• Spectrum of light- and heavy-baryons
• Symmetry, symmetry breaking, and pion parton distributions
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Experimental determination of the effective strong coupling constant
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Timelike pion form factor in lattice QCD
• Basic features of the pion valence-quark distribution function
• Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetry A2
• Direct measurement of the pion valence quark momentum distribution, the pion light-cone wave function squared
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• Measurement of Elastic $\varphi$ Photoproduction at HERA
• Natural constraints on the gluon-quark vertex
• Pion valence quark distribution from current-current correlation in lattice QCD
• Determination of the effective strong coupling constant alpha_{s,g_1}(Q^2) from CLAS spin structure function data
• Exclusive electroproduction of $\varphi$ mesons at HERA
• Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
• Pion generalized parton distribution from lattice QCD
• Measurement of the exclusive ${\rm Y}$ production cross-section in $pp$ collisions at $\sqrt{s}=$7 TeV and 8 TeV
• Measurements of the Q2-Dependence of the Proton and Deuteron Spin Structure Functions g1p and g1d
• CLEO and E791 data: A smoking gun for the pion distribution amplitude?
• The pion form factor from lattice QCD with two dynamical flavours
• Pion and kaon valence-quark parton distribution functions
• A measurement of $alph{a}_s(Q^2)$ from the Gross-Llewellyn Smith Sum Rule
• Model independent extraction of the proton magnetic radius from electron scattering
• Scaling study of the pion electroproduction cross sections and the pion form factor
• Perspective on the origin of hadron masses
• Generalized Parton Distributions at x->1
• Generalized parton distributions of the pion in a Bethe-Salpeter approach
• Generalized Pinch Technique and the Background Field Method in General Gauges
• Empirical Consequences of Emergent Mass
• Relativistic, model-independent, multichannel $2\to 2$ transition amplitudes in a finite volume
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• Measurement of the Neutron Spin Structure Function g2n and Asymmetry A2n
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Deeply Virtual Meson Production on the nucleon
• One-loop matching for transversity generalized parton distribution
• The spin structure of the pion
• Sketching the pion's valence-quark generalised parton distribution
• The asymptotic behaviour of parton distributions at small and large $x$
• Gluon propagator and three-gluon vertex with dynamical quarks
• Selected Science Opportunities for the EicC
• Gauge invariance of a critical number of flavours in QED3
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Quark propagator in the Landau gauge
• Hadrons and Nuclei
• Lattice Computations of the Pion Form Factor
• Exclusive Leptoproduction of rho^0 Mesons from Hydrogen at Intermediate Virtual Photon Energies
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Sigma Terms of Light-Quark Hadrons
• Flavour symmetry breaking and meson masses
• Elastic Photoproduction of ${\rho }^0$ Mesons at HERA
• Ward-Green-Takahashi identities and the axial-vector vertex
• Pion distribution amplitude from Euclidean correlation functions
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• High Precision Measurements of the Form Factors of Pion, Kaon, and Proton at Large Timelike Momentum Transfers
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• The decay constants ${\mathbf{f}}_{\mathbf{D}}$ and ${\mathbf{f}}_{{\mathbf{D}}_{\mathbf{s}}}$ in the continuum limit of ${\mathbf{N}}_{\mathbf{f}}=2+1$ domain wall lattice QCD
• Electromagnetic form factors at large momenta from lattice QCD
• Resonance poles and threshold energies for hadron physical problems by a model-independent universal algorithm
• Quark gap equation with non-abelian Ball-Chiu vertex
• 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
• Unbiased determination of DVCS Compton Form Factors
• Cross sections for hard exclusive electroproduction of pi+ mesons on a hydrogen target
• Do the E866 Drell Yan data change our picture of the chiral structure of the nucleon ?
• Quark propagator with two flavors of O(a)-improved Wilson fermions
• The Gribov Conception of Quantum Chromodynamics
• Mass-dependence of pseudoscalar meson elastic form factors
• Generalized Parton Distributions and Pseudo-Distributions
• Measurement of Exclusive ${\pi }^0$ Electroproduction Structure Functions and their Relationship to Transversity GPDs
• Four-point functions and the permutation group S4
• Partonic structure of neutral pseudoscalars via two photon transition form factors
• NJL model on the light cone and pion structure function
• Exclusive ${\rho }^0$ electroproduction on the proton at CLAS
• Reflections upon the Emergence of Hadronic Mass
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• Confronting lattice parton distributions with global QCD analysis
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• Rosenbluth separation of the ${\pi }^0$ electroproduction cross section
• Determination of the Deep Inelastic Contribution to the Generalised Gerasimov-Drell-Hearn Integral for the Proton and Neutron
• Spin Density Matrix Elements in Exclusive rho^0 Electroproduction on 1H and 2H Targets at 27.5 GeV Beam Energy
• Nonperturbative light-front Hamiltonian methods
• Single-spin azimuthal asymmetry in exclusive electroproduction of pi+ mesons on transversely polarized protons
• A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
• Form factors of two-hadron states from a covariant finite-volume formalism
• Expanding the concept of in-hadron condensates
• Can we understand an auxetic pion-photon transition form factor within QCD? BaBar faces Belle
• Drawing insights from pion parton distributions
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Exclusive ${\rho }^0$ meson electroproduction from hydrogen at CLAS
• Contact interaction analysis of pion GTMDs
• QCD based quark description of pi-pi scattering up to the sigma and rho region
• Heavy-Light Mesons on the Light Front
• Deeply virtual and exclusive electroproduction of omega mesons
• Distribution amplitudes of light-quark mesons from lattice QCD
• Light mesons within the basis light-front quantization framework
• Higgs modulation of emergent mass as revealed in kaon and pion parton distributions
• Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation
• Analytic proof that the Quark Model complies with the PCAC theorems
• Spectrum of scalar and pseudoscalar glueballs from functional methods
• Strong QCD Insights from Excited Nucleon Structure Studies with CLAS and CLAS12
• Status and Future Perspectives for Lattice Gauge Theory Calculations to the Exascale and Beyond
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Gluon contributions to the pion mass and light cone momentum fraction
• Off-shell persistence of composite pions and kaons
• Smeared quasidistributions in perturbation theory
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Light front distribution of the chiral condensate
• On the large-Q^2 behavior of the pion transition form factor
• Observation of Events with an Energetic Forward Neutron in Deep Inelastic Scattering at HERA
• An Enhanced Threshold Resummation Formalism for Lepton Pair Production and Its Effects in the Determination of Parton Distribution Functions
• Transverse pion structure beyond leading twist in constituent models
• Exclusive Neutral Pion Electroproduction in the Deeply Virtual Regime
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Pion Generalized Parton Distributions within a fully covariant constituent quark model
• Exclusive rho-0 electroproduction on transversely polarized protons
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• Quantifying finite-momentum effects in meson quasi-PDFs
• Electroproduction of $\varphi (1020)$ mesons at $1.4\le Q^2\le$ GeV${}^2$ measured with the CLAS spectrometer
• The pseudoscalar meson electromagnetic form factor at high $Q^2$ from full lattice QCD
• Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis
• Pion light-front wave function, parton distribution and the electromagnetic form factor
• Separated Kaon Electroproduction Cross Section and the Kaon Form Factor from 6 GeV JLab Data
• Tomography of light mesons in light-cone quark model
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Interplay of dynamical and explicit chiral symmetry breaking effects on a quark
• Cross sections and Rosenbluth separations in 1H(e, e'K+)Lambda up to Q2=2.35 GeV2
• New Perspective on Hybrid Mesons
• The chaotic effects in a nonlinear QCD evolution equation
• Decay constants of the pion and its excitations in holographic QCD
• Ladder Dyson-Schwinger calculation of the anomalous gamma-3pi form factor
• Measurement of the cross section for hard exclusive ${\pi }^0$ leptoproduction
• QCD factorization for the pion diffractive dissociation to two jets
• Spin structure of the pion from the instanton vacuum
• Measurement of Leading Proton and Neutron Production in Deep Inelastic Scattering at HERA
• Ratios of Helicity Amplitudes for Exclusive rho-0 Electroproduction
• Electromagnetic form factor of pion from N_f=2+1 dynamical flavor QCD
• Exclusive rho^0 muoproduction on transversely polarised protons and deuterons
• Semileptonic decays of $D_{(s)}$ mesons
• Deep exclusive ${\pi }^{+}$ electroproduction off the proton at CLAS
• Nontriviality of Abelian gauged Nambu-Jona-Lasinio models in four dimensions
• Rosenbluth separation of the ${\pi }^0$ Electroproduction Cross Section off the Neutron
• Hard exclusive two photon processes in QCD
• Has the E791 experiment measured the pion wave function profile ?
• Pion transverse charge density and the edge of hadrons
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• Geometrical Volume Effects in the Computation of the Slope of the Isgur-Wise Function
• Ratios of helicity amplitudes for exclusive ${\rho }^0$ electroproduction on transversely polarized protons
• Computing the Slope of the Isgur-Wise Function
• Exclusive $\omega$ meson muoproduction on transversely polarised protons
• First Measurement of the Electromagnetic Form Factor of the Neutral Kaon at a Large Momentum Transfer and the Effect of $SU(3)$ Breaking
• Comparison of kaon and pion valence quark distributions in a statistical model
• Can We Get Deeper Inside the Pion at the LHC?
• Generalized form factors and spin structures of the kaon
• Threshold-Resummed Cross Section for the Drell-Yan Process in Pion-Nucleon Collisions at COMPASS
• Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
• Kaon transverse charge density from space- and timelike data
• Probing the Continuum Limit in Non-Compact QED: New Results on Large Lattices

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