Q^2-Evolution of Nucleon's Chiral-Odd Twist-3 Structure Function: h_L(x,Q^2)

Abstract

We investigate the $Q^2$-evolution of the chiral-odd spin-dependent parton distribution $h_L(x,Q^2)$ relevant for the polarized Drell-Yan processes. The results are obtained in the leading logarithmic order in the framework of the renormalization group and the standard QCD perturbation theory. We calculate the anomalous dimension matrix for the twist-3 operators for $h_L$ in the one-loop order. The operator mixing among the relevant twist-3 operators including the operators proportional to the QCD equations of motion is treated properly in a consistent scheme. Implications for future experiments are also discussed.

HUPD-9419, Latex file, 21 pages, 7 figures available on request

References in corpus (4)

• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Spin Asymmetry in Muon--Proton Deep Inelastic Scattering on a Transversely-Polarized Target
• Hard Scattering in QCD with Polarized Beams
• Spin Structure Function $g_2$ and Twist-3 Operators in QCD

Cited by in corpus (36)

• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Spin Physics and Polarized Structure Functions
• Higher Twist Distribution Amplitudes of the Nucleon in QCD
• Bounds on transverse momentum dependent distribution and fragmentation functions
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Light-Cone Distribution Amplitudes of Axial-vector Mesons
• Integrability and WKB solution of twist-three evolution equations
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• QCD Evolution of the Transverse Momentum Dependent Correlations
• Next-to-leading order Q^2-evolution of the transversity distribution h_1(x, Q^2)
• Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$
• Q^2 Evolution of Chiral-Odd Twist-3 Distributions h_L(x, Q^2) and e(x, Q^2) in Large-N_c QCD
• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• QCD Corrections to the nucleon's spin structure function $G_2(x,Q^2)$
• Two-loop anomalous dimensions for the structure function h1
• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Decomposition of nonlocal light-cone operators into harmonic operators of definite twist
• Evolution of transverse momentum dependent distribution and fragmentation functions
• Violation of Sum Rules for Twist-3 Parton Distributions in QCD
• Calculations of Higher Twist Distribution Functions in the MIT Bag Model
• On the twist-3 contribution to h_L in the instanton vacuum
• $Q^2$ evolution of chiral-odd twist-3 distribution $e(x,Q^2)$
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Drell-Yan double-spin asymmetry A_{LT} in polarized p\bar{p} collisions: Wandzura-Wilczek contribution
• Renormalization of twist-four operators in light-cone gauge
• Parton distribution functions from nonlocal light-cone operators with definite twist
• A_{LT} in the polarized Drell-Yan process at RHIC and HERA energies
• Bag Model Prediction for the Nucleon's Chiral-odd Twist-3 Distribution h_L(x,Q^2) at High Q^2
• Evolution of chiral-odd spin-independent fracture functions in Quantum Cromodynamics
• Evolution of twist-3 fragmentation functions in multicolour QCD and the Gribov-Lipatov reciprocity
• Spin Structure Function g_2(x,Q^2) and Twist-3 Operators in large-N_C QCD
• Renormalization of Chiral-Even Twist-3 Light-cone Wave Functions for Vector Mesons in QCD
• Leading SU(3) breaking in lightcone distribution amplitudes
• Transverse momentum dependent quark distributions and polarized Drell-Yan processes