An introductory lecture on Generalised Parton Distributions

Abstract

These lecture notes on Generalised Parton Distributions aim at providing a general picture of the field on the theoretical and phenomenological sides to master and Ph.D. students. They go along with the lecture given at the Baryon International School of Physics in 2021.

arXiv comment21 pages, 14 figures

References in corpus (126)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Deeply Virtual Compton Scattering
• Nonforward Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Factorization for hard exclusive electroproduction of mesons in QCD
• Parton Physics on Euclidean Lattice
• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• Scaling Limit of Deeply Virtual Compton Scattering
• Off-Forward Parton Distributions
• Theory of deeply virtual Compton scattering on the nucleon
• Electron-Ion Collider in China
• Generalized parton distributions and strong forces inside nucleons and nuclei
• The angular momentum controversy: What's it all about and does it matter?
• APFEL: A PDF Evolution Library with QED corrections
• Skewed and double distributions in pion and nucleon
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• Asymmetric Gluon Distributions and Hard Diffractive Electroproduction
• Generalized parton distributions in impact parameter space
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Deeply virtual electroproduction of photons and mesons on the nucleon : leading order amplitudes and power corrections
• Measurement of the Charged Pion Electromagnetic Form Factor
• Light-Cone Representation of the Spin and Orbital Angular Momentum of Relativistic Composite Systems
• Proof of Factorization for Deeply Virtual Compton Scattering in QCD
• Double distributions and evolution equations
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• The role of the quark and gluon GPDs in hard vector-meson electroproduction
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Revisiting the mechanical properties of the nucleon
• One-Loop Corrections and All Order Factorization In Deeply Virtual Compton Scattering
• Hard exclusive electroproduction of two pions and their resonances
• GPD phenomenology and DVCS fitting - Entering the high-precision era
• An attempt to understand exclusive pi+ electroproduction
• Timelike Compton scattering: exclusive photoproduction of lepton pairs
• Symmetries and structure of skewed and double distributions
• Vector meson electroproduction at small Bjorken-x and generalized parton distributions
• Evolution and models for skewed parton distributions
• Notes on the orbital angular momentum of quarks in the nucleon
• First Monte Carlo global QCD analysis of pion parton distributions
• Exclusive production of pion pairs in gamma^* gamma collisions at large Q^2
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Crossing and Radon Tomography for Generalized Parton Distributions
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Exclusive photoproduction of a heavy vector meson in QCD
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Basic features of the pion valence-quark distribution function
• Dispersion representations for hard exclusive processes
• Evolution kernels of skewed parton distributions: method and two-loop results
• Double deeply virtual Compton scattering off the nucleon
• The E00-110 experiment in Jefferson Lab's Hall A: Deeply Virtual Compton Scattering off the Proton at 6 GeV
• Spatial distribution of angular momentum inside the nucleon
• NLO Corrections to Deeply-Virtual Compton Scattering
• A critique of the angular momentum sum rules and a new angular momentum sum rule
• Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes
• Positivity Constraints for off-Forward Parton Distributions
• Deeply Virtual Meson Production on the nucleon
• Sketching the pion's valence-quark generalised parton distribution
• NLO corrections to timelike, spacelike and double deeply virtual Compton scattering
• On the Evolution Kernels of Twist 2 Light-Ray Operators for Unpolarized and Polarized Deep Inelastic Scattering
• Dispersion relations and subtractions in hard exclusive processes
• On timelike and spacelike deeply virtual Compton scattering at next to leading order
• Exclusive electroproduction of lepton pairs as a probe of nucleon structure
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Exclusive electroproduction revisited: treating kinematical effects
• The deconvolution problem of deeply virtual Compton scattering
• APFELgrid: a high performance tool for parton density determinations
• Deeply virtual Compton scattering in next-to-leading order
• Unbiased determination of DVCS Compton Form Factors
• A fitter code for Deep Virtual Compton Scattering and Generalized Parton Distributions
• A detailed next-to-leading order QCD analysis of deeply virtual Compton scattering observables
• Next-to-leading order evolution of twist-two conformal operators: The abelian case
• Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics
• Implication of the overlap representation for modelling generalized parton distributions
• Disentangling positivity constraints for generalized parton distributions
• Finite-t and target mass corrections to deeply virtual Compton scattering
• Phenomenological assessment of proton mechanical properties from deeply virtual Compton scattering
• Transversity Distribution Does Not Contribute to Hard Exclusive Electroproduction of Mesons
• A next-to-leading order QCD analysis of deeply virtual Compton scattering amplitudes
• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
• Exclusive electroproduction of vector mesons and transversity distributions
• Rosenbluth separation of the ${\pi }^0$ electroproduction cross section
• A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities
• Border and skewness functions from a leading order fit to DVCS data
• Time ordering in off-diagonal parton distributions
• Generalized Parton Distributions and Their Singularities
• Exclusive photoproduction of a $\gamma \rho$ pair with a large invariant mass
• Finite-t and target mass corrections to DVCS on a scalar target
• Test of two new parameterizations of the Generalized Parton Distribution $H$
• Refined analysis of photon leptoproduction off spinless target
• Generalized parton distributions and double distributions for q q-bar pions
• Inequalities for generalized parton distributions H and E
• Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --
• Covariant Extension of the GPD overlap representation at low Fock states
• NLO corrections and contribution of a tensor gluon operator to the process ${\gamma }^{\ast }\gamma \to \pi \pi$
• Off-shell persistence of composite pions and kaons
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• Measures of pion and kaon structure from generalised parton distributions
• Deeply virtual Compton scattering on a virtual pion target
• Electroproduction of a large invariant mass photon pair
• Rigorous constraints on the matrix elements of the energy-momentum tensor
• Probing axial quark generalized parton distributions through exclusive photoproduction of a $\gamma {\pi }^{\pm }$ pair with a large invariant mass
• First-time measurement of Timelike Compton Scattering
• Spatial and Momentum Imaging of the Pion and Kaon
• Double distributions: Loose ends
• Exclusive evolution kernels in two-loop order: parity even sector
• Two-loop coefficient function for DVCS: Vector contributions
• Collinear factorization of diphoton photoproduction at next to leading order
• Going to the light front with contour deformations
• GPDs at non-zero skewness in ADS/QCD model
• Quark spin and orbital angular momentum from proton GPDs
• Bound state equation for the Nakanishi weight function
• Data-driven study of timelike Compton scattering
• Double distributions for the proton
• Universality of the Poincaré gravitational form factor constraints
• On the extraction of skewed parton distributions from experiment
• Impact of DCSB and dynamical diquark correlations on proton GPDs
• Modeling Nucleon Generalized Parton Distributions
• Deep exclusive electroproduction of ${\pi }^0$ at high $Q^2$ in the quark valence regime
• Lepton-pair production in ultraperipheral collisions at AFTER@LHC
• Artificial neural network modelling of generalised parton distributions
• Single-Transverse-Spin Asymmetries in Exclusive Photo-production of J/psi in Ultra-Peripheral Collisions in the Fixed-Target Mode at the LHC and in the Collider Mode at RHIC
• Two-loop evolution equations for flavor-singlet light-ray operators
• Model Dependence of the Pion Form Factor Extracted from Pion Electro-production
• Double distributions and generalized parton distributions from the parton number conserved light front wave function overlap representation

Cited by in corpus (7)

• Empirical Determination of the Pion Mass Distribution
• Gravitational form factors of pion from top-down holographic QCD
• Parametrization of GPDs from t-channel string exchange in AdS spaces
• Pion gravitational form factors in the QCD instanton vacuum II
• String-based parametrization of nucleon GPDs at any skewness: a comparison to lattice QCD
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
• Global Analyses of Generalized Parton Distributions with Diverse PDF Inputs