Factorization for hard exclusive electroproduction of mesons in QCD

Abstract

We formulate and prove a QCD factorization theorem for hard exclusive electroproduction of mesons in QCD. The proof is valid for the leading power in Q and all logarithms. This generalizes previous work on vector meson production in the diffractive region of small x. The amplitude is expressed in terms of off-diagonal generalizations of the usual parton densities. The full theorem applies to all kinds of meson and not just to vector mesons. The parton densities used include not only the ordinary parton density, but also the helicity density (g_1 or $\Delta q$) and the transversity density ($h_1$ or $\delta q$), and these can be probed by measuring the polarization of the produced mesons with unpolarized protons.

50 pages, revtex, figures included, uses epsf.sty. Correction of citations, and of predictions for meson production

References in corpus (3)

• Deeply Virtual Compton Scattering
• Scaling Limit of Deeply Virtual Compton Scattering
• Euclidean asymptotic expansions of Green functions of quantum fields (I) Expansions of products of singular functions

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• Color transparency in $\bar{p}d\to {\pi }^{-}{\pi }^{0}p$ reaction
• Shadowing in Compton scattering on nuclei
• One-loop electron mass and QED trace anomaly
• Coulomb induced diffraction of energetic hadrons into jets
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Deeply Virtual Exclusive Processes and Generalized Parton Distributions
• Twist-3 contribution to deeply virtual electroproduction of pions
• Hard exclusive photoproduction of $\Phi$ mesons
• Generalized parton distributions for the lowest-lying octet baryons
• Experimental Results on the Diffractive Production of Light Vector Mesons at HERA
• Accessing Generalized Parton Distributions in Exclusive Photoproduction of a $\gamma \rho$ Pair with a Large Invariant Mass
• A Conceptual Design Study of a Compact Photon Source (CPS) for Jefferson Lab
• Separated Response Functions in Exclusive, Forward ${\pi }^{\pm }$ Electroproduction on Deuterium
• Hard exclusive production of a vector meson
• $\bar{d}-\bar{u}$ asymmetry and semi-inclusive production of pions in DIS
• Comment on soft-pion emission in DVCS
• Vector meson production at HERA
• Generalized Parton Distributions and Nucleon Resonances
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• DGLAP versus perturbative Pomeron in large momentum transfer hard diffractive processes at HERA and LHC
• Momentum Flow Mechanisms and Color-Lorentz Forces on Quarks in the Nucleon
• Large distance behaviour of light cone operator product in perturbative and nonperturbative QCD regimes
• Sum Rules for Nucleon GPDs and Border Function Formulation
• Nucleon tomography. What can we do better today than Rutherford 100 years ago?
• Exclusive pi^+ production at HERMES
• Generalized Parton Distributions -- theoretical review --
• Deeply virtual Compton scattering on the neutron with positron beam
• On the behaviour of single scale hard small $x$ processes in QCD near the black disc limit
• Chiral-odd pion generalized parton distributions beyond leading twist
• Deep Virtual Compton Scattering and the Nucleon Generalized Parton Distributions
• GPDs from charged current meson production in $ep$ experiments
• The exclusive Drell-Yan process and deeply virtual pion production
• Q Qbar g contribution to diffractive J/psi electroproduction
• Nuclear effects in neutrinoproduction of pions
• Deeply virtual meson production on neutrons
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Measurement of the near-threshold J$/\psi$ photoproduction cross section with the CLAS12 experiment
• Pseudogauge ambiguity in the distributions of energy density, pressure, and shear force inside the nucleon
• QCD factorization in gamma* gamma -> pi pi and gamma* N -> pi pi N
• Increase with energy of parton transverse momenta in the fragmentation region in DIS and related phenomena
• Soft Gluon Approach for Diffractive Photoproduction of J/psi
• The search for the onset of Color Transparency: a status report
• Bjorken variable and scale dependence of quark transport coefficient in semi-inclusive lepton-production of hadron off nuclei
• Asymptotic high energy behavior of the deeply virtual Compton scattering amplitude
• Unified and optimal frame choice for generalized parton distributions
• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
• Energy-momentum tensor form factor D(t) of proton and neutron
• Nucleon Form Factors from GPDs
• From semi-hard processes to the unintegrated gluon distribution: a phenomenological path in the high-energy framework
• Transition Distribution Amplitudes for gamma* gamma collisions
• Diffractive $\varphi$ Production in a Perturbative QCD Model
• Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case ${\gamma }^{\ast }\pi \to \gamma \pi \pi$
• Quark-nucleon dynamics and Deep Virtual Compton Scattering
• Analysis of virtual meson production in solvable (1+1) dimensional scalar field theory
• The energy dependence of the hard exclusive diffractive processes in pQCD as the function of momentum transfer
• Radiation and evolution of small relativistic dipole in QED
• Semi-exclusive DVCS
• Timelike Compton Scattering at JLab
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Generalized Distribution Amplitudes at the $Z$ pole
• Revisiting evolution equations for generalised parton distributions
• Resonance-Parton Duality in $(e,e^{\prime }\pi )$ off Nucleons
• Determination of the HERA coherent diffractive $J/\psi$ production cross section via artificial neural network
• Inverse Radon transform at work
• Generalized parton distributions from neutrino experiments: twist-three effects
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Skewed Parton Distributions
• Observations of Chiral Odd GPDs and their Implications
• Highlights of Short Baseline Physics at a Neutrino Factory
• Beam Spin Asymmetries in DVCS with CLAS at 4 .8 GeV
• Exclusive photoproduction of heavy quarkonia pairs
• Generelized Parton Distributions in light meson production
• Beam spin asymmetry in deeply virtual $\pi$ production
• On higher twist chiral-odd pion generalized parton distributions
• The Pomeron in Exclusive $J/\psi$ Vector Meson Production
• Spin effects in hard exclusive electroproduction of mesons
• New framework for extracting GPDs from exclusive photon electroproduction
• Probing hard/soft factorization via beam-spin asymmetry in exclusive pion electroproduction from the proton
• Status of Spin Physics - Experimental Summary
• A global QCD analysis of diffractive parton distribution function considering higher twist corrections within the xFitter framework
• Factorization in hard exclusive processes. Computation of one-loop corrections to the diphoton photoproduction on proton
• Deeply virtual Compton scattering off the neutron
• Central exclusive production at LHCb
• Exploring GPDs through the photoproduction of a $\gamma \rho$ pair
• Exclusive production of pentaquarks in the scaling regime
• Covariance constraints for light front wave functions
• Analytic Evolution of Singular Distribution Amplitudes in QCD
• Transverse Target Spin asymmetries in exclusive ${\rho }^0$ muoproduction
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture