Nonforward Parton Distributions

Abstract

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in nonforward matrix elements <p'|O|p> of quark and gluon light-cone operators. We describe two types of nonperturbative functions parametrizing such matrix elements: double distributions F(x,y;t) and nonforward distribution functions F_ζ(X;t), discuss their spectral properties, evolution equations which they satisfy, basic uses and general aspects of factorization for hard exclusive processes.

Final version, to be published in Phys.Rev.D

References in corpus (4)

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• NLO corrections to the twist-3 amplitude in DVCS on a nucleon in the Wandzura-Wilczek approximation: quark case
• QCD Factorization of Quasi Generalized Quark Distributions
• Exclusive electroproduction and the quark structure of the nucleon
• QCD factorizations in gamma* gamma* -> rho rho
• Heavy quarks in deeply virtual Compton scattering
• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Demystifying generalized parton distributions
• Calculation of the cross section for the pion diffractive dissociation into two jets
• Spectator-Tagged Deeply Virtual Compton Scattering on Light Nuclei
• Nucleon tensor form factors in a relativistic confined quark model
• DVCS via color dipoles: Nonperturbative effects
• Diffractive charged meson pair production
• Accessing GPDs from experiment --- potential of a high-luminosity EIC ---
• Orbital structure of quarks inside the nucleon in the light-cone diquark model
• Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model
• Bethe-Heitler type radiative corrections to deeply virtual neutrinoproduction of mesons
• Exclusive photoproduction of lepton pairs at LHC
• eta-prime Meson Production in Nucleon-Nucleon Collisions Near The Threshold
• Diffractive charm jet production at hadron colliders in the two-gluon exchange model
• Inequalities for nucleon generalized parton distributions with helicity flip
• Anomaly in the differential cross sections at 13 TeV
• Connection between the elastic GEp/GMp and P to Delta form factors
• Generalized parton distributions of sea quark at zero skewness in the light-cone Model
• Spin structure in non-forward partons
• Regularization dependence of pion generalised parton distributions
• Generalized parton distributions and Deeply Virtual Compton Scattering in Color Glass Condensate model
• Factorisation in Deeply Virtual Compton Scattering: Local OPE Formalism and Structure Functions
• The dual parametrization for gluon GPDs
• Deeply Virtual Compton Scattering on nucleons and nuclei in generalized vector meson dominance model
• Resummation of threshold logarithms in deeply-virtual Compton scattering
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• QCD Factorization of Quasi Generalized Gluon Distributions
• Study of transversity GPDs from pseudoscalar mesons production at EIC of China
• Leading twist nuclear shadowing, nuclear generalized parton distributions and nuclear DVCS at small x
• Exclusive ${\pi }^0$ production at EIC of China within handbag approach
• Separation of Soft and Hard Physics in Deeply Virtual Compton Scattering
• Explicit Proof that Electroproduction of Transversely Polarized Vector Mesons Vanishes in Perturbative QCD
• DDVCS on nucleons and nuclei
• On scale dependence of QCD string operators
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Skewed parton distributions and the scale dependence of the transverse size parameter
• Production of orbitally excited vector mesons in diffractive DIS
• Open Questions in High Energy Spin Physics
• Twist-4 proton GTMDs in the light-front quark-diquark model
• Transversity generalized parton distributions in spin-3/2 particles
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Hadronic structure on the light-front VI. Generalized parton distributions of unpolarized hadrons
• Form factors of the nucleon by using the t dependence of parton distribution functions
• Impact of a positron beam at JLab on an unbiased determination of DVCS Compton Form Factors
• Two Photon Exchange for Exclusive Pion Electroproduction
• Loop corrections to pion and kaon neutrinoproduction
• Inverse Radon transform and the transverse-momentum dependent functions
• The Jefferson Lab 12 GeV Upgrade
• Real Compton Scattering via Color Dipoles
• Generalized parton distributions of $\Delta$ resonance in a diquark spectator approach
• Timelike Compton scattering in ultraperipheral $pPb$ collisions
• One-Loop Helicity Amplitudes for Parton Level Virtual Compton Scattering
• $\omega -\pi {\gamma }^{\ast }$ transition form factor in proton-proton collisions
• Duality, analyticity and t dependence of generalized parton distributions
• Insight into nucleon structure from generalized parton distributions
• QCD Sum Rules and Models for Generalized Parton Distributions
• Crossed channel analysis of quark and gluon generalized parton distributions with helicity flip
• NNLO anomalous dimension matrix for twist-two flavor-singlet operators
• Deeply Virtual Exclusive Processes and Generalized Parton Distributions
• Shadowing in Compton scattering on nuclei
• Generalized parton distributions for dynamical equation models
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Dilepton production through timelike Compton scattering within the $k_T$-factorization approach
• The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
• Beam Spin Asymmetry in Electroproduction of Pseudoscalar or Scalar Meson Production off the Scalar Target
• Renormalisation of Composite Operators in Lattice Perturbation Theory with Clover Fermions: Non-forward Matrix Elements
• Comment on soft-pion emission in DVCS
• Study of deeply virtual Compton scattering at the future Electron-Ion Collider
• Off-forward parton distributions and impact parameter dependence of parton structure
• Generalized Parton Distributions -- theoretical review --
• Understanding nucleon structure using lattice simulations
• Nucleon Generalized Parton Distributions and Holographic Models
• 2004 Review of Light Cone Field Theory
• Nucleon tomography. What can we do better today than Rutherford 100 years ago?
• Deeply virtual Compton scattering on the neutron with positron beam
• Electromagnetic and gravitomagnetic structure and radii of nucleons
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• Gauge invariance, gluonic poles and single spin asymmetry in Drell-Yan processes
• Sum Rules for Nucleon GPDs and Border Function Formulation
• Accessing Compton Form Factors at the Electron Ion Collider in China: An Impact study on $\text{Im}\mathcal{E}$
• Deeply virtual meson production on neutrons
• Parton Decomposition of Nucleon Spin and Momentum: Gluons from Dressed Quarks
• Single-spin asymmetry in DVCS: fragmentation region of polarised lepton
• GPDs from charged current meson production in $ep$ experiments
• Twist-3 contribution to the ${\gamma }^{\ast }\gamma \to \pi \pi$ amplitude in the Wandzura-Wilczek approximation
• Isovector and isoscalar tensor form factors of $N(1535)\to N$ transition in light-cone QCD
• Nuclear effects in neutrinoproduction of pions
• Diffractive light quark jet and gluon jet production at hadron colliders in the two-gluon exchange model
• Conformal symmetry on the light cone and nonleading twist distribution amplitudes of massive vector meson
• Quark initiated coherent diffractive production of muon pair and W boson at hadron colliders
• Parton distribution functions from Lattice QCD
• Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering
• An x-Space Analysis of Evolution Equations: Soffer's Inequality and the Non-forward Evolution
• On timelike Compton scattering at medium and high energies
• Hadron Spin Dynamics
• Spin effects in diffractive $Q\bar{Q}$ production at BNL eRHIC
• Violation of Positivity Bounds in Models of Generalized Parton Distributions
• Hadron Structure from Lattice QCD
• Space-time structure of polynomiality and positivity for GPDs
• Two-Photon Effects in Lepton-AntiLepton Pair Photoproduction from a Nucleon Target using Real Photons
• From semi-hard processes to the unintegrated gluon distribution: a phenomenological path in the high-energy framework
• GPDs of hadrons and elastic pion-nucleon scattering
• Hadron properties in AdS/QCD
• Radiative corrections to deeply virtual Compton scattering
• Conformal string operators and skewed parton distributions
• Timelike Virtual Compton Scattering from Electron-Positron Radiative Annihilation
• Phenomenology of diphoton photoproduction at next-to-leading order
• Large transverse momentum direct photon production in the coherent diffractive processes at hadron colliders
• Unified and optimal frame choice for generalized parton distributions
• Momentum transfer dependence of the hadron GPDs and Compton form factors
• Low-$x$ Physics in $pA$ Collisions and at the EIC
• Hard exclusive reactions and hadron structure
• On Deeply Virtual Compton Scattering at next-to-leading order
• Asymptotic high energy behavior of the deeply virtual Compton scattering amplitude
• Effective Field Theory Factorization for Diffraction
• Nucleon Form Factors from GPDs
• The search for the onset of Color Transparency: a status report
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
• Elastic meson production and Compton scattering
• Revealing pion and kaon structure via generalised parton distributions
• Operator product expansion coefficient functions in terms of composite operators only. Nonsinglet case
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Diffractive D_s production in charged current DIS
• Generalized parton distributions from neutrino experiments: twist-three effects
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Generalized perton distributions: analysis and applications
• Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons
• Rapidity-Dependent Spin Decomposition of the Nucleon
• From QCD-Based Descriptions to Direct Fits: A Unified Study of Nucleon Electromagnetic Form Factors
• Generalized Distribution Amplitudes at the $Z$ pole
• Beam Spin Asymmetries in DVCS with CLAS at 4 .8 GeV
• Revisiting evolution equations for generalised parton distributions
• OPE coefficient functions in terms of composite operators only. Singlet case
• Quark-nucleon dynamics and Deep Virtual Compton Scattering
• The DVCS Measurement at HERA
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• Chiral-odd GPDs in large-N_c QCD
• Skewed Parton Distributions
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$
• Wigner distributions of quarks for different polarizations
• Parametrization of zero-skewness unpolarized GPDs
• Inverse Radon transform at work
• Deeply Virtual Compton Scattering in Improved Holographic QCD
• Kerr-Schild Geometry from Cosmology to Microworld and Space-Time Structure
• Analysis of virtual meson production in solvable (1+1) dimensional scalar field theory
• Toward an advanced phenomenology of $\pi N$ transition distribution amplitudes
• The Jlab Upgrade - Studies of the Nucleon with CLAS12
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• New framework for extracting GPDs from exclusive photon electroproduction
• On the equivalence of GPD representations
• Study of the Transverse-Momentum-Dependent structure of the nucleon in Semi-Inclusive DIS
• Deeply virtual Compton scattering off the neutron
• Generalised Parton Distributions: A Dyson-Schwinger approach for the pion
• An algebraic model for the pion's valence-quark GPD
• Deeply virtual Compton scattering using a positron beam in Hall-C at Jefferson Lab
• Electromagnetic and gravitomagnetic structure of pions and pion-nucleon scattering
• Spin Physics at COMPASS
• Nuclear effects and neutron structure in deeply virtual Compton scattering off 3He
• Exclusive production of pentaquarks in the scaling regime
• Nucleon Structure from Lattice QCD
• Duality and Factorization Theorem in QCD
• Gauge invariance and gluon poles for direct photon production
• Pion's valence-quark GPD and its extension beyond DGLAP region
• $p\bar{p}\to {\Lambda }_c{\bar{\Lambda }}_c$ within a Handbag Picture -- Cross Section and Spin Observables
• Covariance constraints for light front wave functions
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector
• The Inclusive-Exclusive Connection and the Neutron Negative Central Charge Density
• Generelized parton distributions and the structure of the hadrons
• Spin and other aspects of generalized parton distributions
• Spin Effects In Diffractive Reactions
• Deep Exclusive Scattering and Generalized Parton Distributions : Experimental Review
• Diffractive $J/\psi$ production through color-octet mechanism in resolved photon processes at HERA
• Parton promenade into the nucleon
• Central exclusive production at LHCb
• Pion GPDs: A path toward phenomenology
• Parametrization of Quark and Gluon Generalized Parton Distributions in a Dynamical Framework
• The Off-forward Quark-Quark Correlation Function
• Exclusive photoproduction of heavy quarkonia pairs
• Deeply Virtual Neutrino Scattering at Leading Twist
• Light-Front QCD Hamiltonian Dynamics and Constituent Quark Picture in Exclusive Processes
• Conformal moments of the two-loop coefficient functions in DVCS
• Assessing the impact of the electron ion collider in China on Deeply Virtual Compton Scattering
• Hard exclusive processes with photons
• QCD Factorizations in Exclusive gamma* gamma* -> rho0_L rho0_L
• Light-Front Dynamics and Generalized Parton Distributions