Deep Inelastic Structure Functions in Light-Front QCD: Radiative Corrections

Abstract

Recently, we have introduced a unified theory to deal with perturbative and non-perturbative QCD contributions to hadronic structure functions in deep inelastic scattering. This formulation is realized by combining the coordinate space approach based on light-front current algebra techniques and the momentum space approach based on Fock space expansion methods in the Hamiltonian formalism of light-front field theory. In this work we show how a perturbative analysis in the light-front Hamiltonian formalism leads to the factorization scheme we have proposed recently. The analysis also shows that the scaling violations due to perturbative QCD corrections can be rather easily addressed in this framework by simply replacing the hadron target by dressed parton target and then carrying out a systematic expansion in the coupling constant ${\alpha }_s$ based on the perturbative QCD expansion of the dressed parton target. The tools employed for this calculation are those available from light-front old-fashioned perturbation theory. We present the complete set of calculations of unpolarized and polarized deep inelastic structure functions to order ${\alpha }_s$. We extract the relevant splitting functions in all the cases. We explicitly verify all the sum rules to order ${\alpha }_s$. We demonstrate the validity of approximations made in the derivation of the new factorization scheme. This is achieved with the help of detailed calculations of the evolution of structure function of a composite system carried out using multi-parton wavefunctions.

Revtex, 26 pages and no figure

References in corpus (4)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• A Weak-Coupling Treatment of Nonperturbative QCD Dynamics to Heavy Hadrons
• Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD
• Examination of Wandzura-Wilczek Relation for $g_2(x,Q^2)$ in pQCD

Cited by in corpus (30)

• Double Parton Scattering Singularity in One-Loop Integrals
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• Scale Dependence of Hadronic Wave Functions and Parton Densities
• Chiral odd GPDs in transverse and longitudinal impact parameter spaces
• Quark Wigner Distributions Using Light-Front Wave Functions
• Generalized Parton Distributions in the Impact Parameter Space with Non-zero Skewedness
• Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD
• Wigner Distributions For Gluons
• Off-forward Matrix Elements in Light-front Hamiltonian QCD
• Impact Parameter Dependent Parton Distributions for a Composite Relativistic System
• Quark-gluon double parton distributions in the light-front dressed quark model
• Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
• Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD
• Twist Three Distribution e(x) : Sum Rules and Equation of Motion Relations
• Quark Transversity Distribution in Perturbative QCD: Light-Front Hamiltonian Approach
• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
• Chiral Odd Generalized Parton Distributions in Impact Parameter Space
• Generalized Parton Distributions of the Photon in Position Space
• Generalized Parton Distributions of the Photon for Nonzero zeta
• Generalized Parton Distributions of the Photon
• Twist Three Distribution f_\perp(x,k^\perp) in Light-front Hamiltonian Approach
• Double parton distributions for a positronium-like bound state using light-front wave functions
• Double Parton Splitting Diagrams and Interference and Correlation Effects in Double Parton Scattering
• Sum rules for the Gravitational Form Factors using light-front dressed quark state
• Twist Four Longitudinal Structure Function for a Positronium-like Bound State in Light-Front QED
• Wigner distributions of quarks for different polarizations
• On sum rules for double and triple parton distribution functions and Pythia's model of multiple parton interactions
• Three Dimensional Imaging of the Nucleon