Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD
arXiv:hep-ph/0211386 · doi:10.1103/PhysRevD.67.085020
Abstract
We investigate the helicity dependent twist-two and twist-three generalized parton distributions in light-front Hamiltonian QCD for a massive dressed quark target. Working in the kinematical region , we obtain the splitting functions for the evolutions of twist-two quark and gluon distributions in a straightforward way. For the twist-three distribution, we find that all contributions are proportional to the quark mass and thus the twist-three distribution is directly related to the chiral symmetry breaking dynamics in light-front QCD. We also show that the off-forward Wandzura-Wilczek relation is violated in perturbative QCD for a massive dressed quark.We calculate the quark mass correction to the WW relation in the off-forward case and show that it is related to in the forward limit. We extract the 'genuine twist three' part of the matrix element in the forward case and verify the Burkhardt Cottingham and Efremov-Leader-Teryaev sum rules.
arXiv commentReferences and appendix added, minor points clarified, accepted for publication in PRD
References in corpus (26)
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Deeply Virtual Compton Scattering
- Hard Exclusive Reactions and the Structure of Hadrons
- Off-Forward Parton Distributions
- Measurement of the Beam-Spin Azimuthal Asymmetry Associated with Deeply-Virtual Compton Scattering
- Nonperturbative Light-Front QCD
- Observation of exclusive DVCS in polarized electron beam asymmetry measurements
- Light-Cone Wavefunction Representation of Deeply Virtual Compton Scattering
- Generalized parton distributions with helicity flip
- Linking Parton Distributions to Form Factors and Compton Scattering
- Measurement of Deeply Virtual Compton Scattering at HERA
- Precision Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetries A2
- Twist-three effects in two-photon processes
- On Orbital Angular Momentum in Deep Inelastic Scattering
- Wandzura-Wilczek approximation for the twist-3 DVCS amplitude
- An exact sum rule for transversely polarized DIS
- Higher twist and transverse momentum dependent parton distributions: a light-front hamiltonian approach
- Violation of Sum Rules for Twist-3 Parton Distributions in QCD
- Deep Inelastic Structure Functions in Light-Front QCD: Radiative Corrections
- Exploring Skewed Parton Distributions with Two-body Models on the Light Front I: bimodality
- Off-forward Matrix Elements in Light-front Hamiltonian QCD
- Transverse Spin in QCD: Radiative Corrections
- Examination of Wandzura-Wilczek Relation for in pQCD
- Quark Transversity Distribution in Perturbative QCD: Light-Front Hamiltonian Approach
- Sum rule for the twist four longitudinal structure function
- Twist Four Longitudinal Structure Function in Light-Front QCD
Cited by in corpus (23)
- Generalized Parton Distributions
- Unraveling hadron structure with generalized parton distributions
- Relations between generalized and transverse momentum dependent parton distributions
- Nucleon structure from basis light-front quantization
- The generalized parton distribution function (E^u+E^d)(x,xi,t) of the nucleon in the chiral quark soliton model
- Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
- Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
- Modelling the nucleon structure
- Chiral odd GPDs in transverse and longitudinal impact parameter spaces
- Helicity-dependent generalized parton distributions for nonzero skewness
- Generalized Parton Distributions in the Impact Parameter Space with Non-zero Skewedness
- Twist-3 GPDs in Deeply-Virtual Compton Scattering
- Quark Orbital Angular Momentum in the Wandzura-Wilczek Approximation
- Generalized Parton Distributions for the Proton in Position Space : Non-Zero Skewness
- Generalized parton distributions in a light-front nonperturbative approach
- Helicity-dependent generalized parton distributions and composite constituent quarks
- Parton Distributions in Impact Parameter Space
- Polynomiality of helicity off-forward distribution functions in the chiral quark-soliton model
- Chiral Odd Generalized Parton Distributions in Impact Parameter Space
- Generalized Parton Distributions of the Proton in Position Space : Zero Skewness
- Polynomiality of off-forward distribution functions in the chiral quark soliton model
- Genuine twist-3 contributions to the generalized parton distributions from instantons
- Transverse distortion and single-spin asymmetries for low-lying octet baryons