Parton distribution functions from nonlocal light-cone operators with definite twist

Abstract

We introduce the chiral-even and chiral-odd quark distributions as forward matrix elements of related bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions which differ from the conventional ones by explicitly taking into account the necessary trace terms. The relations between both kinds of distribution functions are given and the mismatch between their different definition of twist is discussed. Wandzura-Wilczek--like relations between the conventional distributions (based on dynamical twist) are derived by means of geometric twist distribution functions.

17 pages, REVTEX, Extended version, The Introduction has been rewritten, Setion V "Wandzura-Wilczek--like relations" and App. B are added; Sign errors are corrected

References in corpus (5)

• On the Structure of the Virtual Compton Amplitude in the Generalized Bjorken Region: Integral Relations
• Twist decomposition of nonlocal light-cone operators II: General tensors of 2nd rank
• Wandzura-Wilczek-type relations of $\rho$-meson wave functions
• $\rho$-Meson wave functions from nonlocal light-cone operators with definite twist
• Twist decomposition of nonlocal light-ray operators and harmonic tensor functions

Cited by in corpus (14)

• The Uses of Conformal Symmetry in QCD
• CT14 Intrinsic Charm Parton Distribution Functions from CTEQ-TEA Global Analysis
• DVCS amplitude at tree level: Transversality, twist-3, and factorization
• Reparameterization Invariant Collinear Operators
• Power Counting in the Soft-Collinear Effective Theory
• Target mass corrections for virtual Compton scattering at twist-2 and generalized, non-forward Wandzura-Wilczek and Callan-Gross relations
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
• Power corrections of off-forward quark distributions and harmonic operators with definite twist
• On the structure of the virtual Compton amplitude with additional final-state meson in the extended Bjorken region
• Twist-2 Heavy Flavor Contributions to the Structure Function $g_2(x,Q^2)$
• A Note on Wandzura-Wilczek Relations
• Heavy Meson Distribution Amplitudes of Definite Geometric Twist with Contribution of 3-Particle Distribution Amplitudes
• $\rho$-Meson wave functions from nonlocal light-cone operators with definite twist
• The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations