Examination of Wandzura-Wilczek Relation for $g_2(x,Q^2)$ in pQCD

Abstract

In order to examine the validity of Wandzura-Wilczek relation for the polarized DIS structure function $g_2(x,Q^2)$, we use the light-front time-ordering pQCD to calculate $g_2(x,Q^2)$ at order ${\alpha }_s$ on a quark target. We find that the study of the transverse polarized structure function in pQCD is only meaningful if we begin with massive quarks. The result shows that the Wandzura-Wilczek relation for $g_2(x,Q^2)$ is strongly violated by the quark mass in pQCD.

Accepted for publication in Physics Letters B

Cited by in corpus (15)

• On Orbital Angular Momentum in Deep Inelastic Scattering
• What can break the Wandzura--Wilczek relation?
• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• 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
• Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD
• Transverse Spin in QCD: Radiative Corrections
• Singularities in Twist-3 Quark Distributions
• Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD
• Quark Transversity Distribution in Perturbative QCD: Light-Front Hamiltonian Approach
• Twist Four Longitudinal Structure Function in Light-Front QCD
• Twist Three Distribution f_\perp(x,k^\perp) in Light-front Hamiltonian Approach
• The small-x Behavior of the Nonsinglet Polarized Structure Function g_2 in the Double Logarithmic Approximation
• The Small-x Behaviour of the Singlet Polarized Structure Function g_2 in the Double Logarithmic Approximation