$Q^2$ evolution of chiral-odd twist-3 distribution $e(x,Q^2)$

Abstract

We study the $Q^2$ dependence of the chiral-odd twist-3 distribution $e(x,Q^2)$.The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the anomalous dimension matrices for all the twist-3 distributions together with the known results for the other twist-3 distributions $g_2(x,Q^2)$ and $h_L(x,Q^2)$. We also have confirmed that in the large $N_c$ limit the $Q^2$-evolution of $e(x,Q^2)$ is wholely governed by the lowest eigenvalue of the anomalous dimension matrix which takes a very simple analytic form as in the case of $g_2$ and $h_L$.

16 pages LaTeX, 4 postscript figures

References in corpus (7)

• Measurements of the Proton and Deuteron Spin Structure Function g2 and Asymmetry A2
• Novel Quark Fragmentation Functions and the Nucleon's Transversity Distribution
• Chiral-Odd and Spin-Dependent Quark Fragmentation Functions and their Applications
• Q^2 Evolution of Chiral-Odd Twist-3 Distributions h_L(x, Q^2) and e(x, Q^2) in Large-N_c QCD
• QCD Corrections to the nucleon's spin structure function $G_2(x,Q^2)$
• Q^2-Evolution of Nucleon's Chiral-Odd Twist-3 Structure Function: h_L(x,Q^2)
• Spin Structure Function $g_2$ and Twist-3 Operators in QCD

Cited by in corpus (26)

• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Modelling quark distribution and fragmentation functions
• Spin Physics and Polarized Structure Functions
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Light-Cone Distribution Amplitudes of Axial-vector Mesons
• Fine structure of spectrum of twist-three operators in QCD
• Integrability and WKB solution of twist-three evolution equations
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Azimuthal asymmetries at CLAS: Extraction of e^a(x) and prediction of A_{UL}
• Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$
• The chirally-odd twist-3 distribution e(x)
• The chirally-odd twist-3 distribution function e(x) in the chiral quark-soliton model
• Violation of Sum Rules for Twist-3 Parton Distributions in QCD
• Calculations of Higher Twist Distribution Functions in the MIT Bag Model
• Pi N sigma-term and chiral-odd twist-3 distribution function e(x) of the nucleon in the chiral quark soliton model
• 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
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Renormalization of twist-four operators in light-cone gauge
• Relating hadronic CP-violation to higher-twist distributions
• Bag Model Prediction for the Nucleon's Chiral-odd Twist-3 Distribution h_L(x,Q^2) at High Q^2
• On the Singular Behavior of the Chirality-Odd Twist-3 Parton Distribution e(x)
• Renormalization of Chiral-Even Twist-3 Light-cone Wave Functions for Vector Mesons in QCD
• Spin Structure Function g_2(x,Q^2) and Twist-3 Operators in large-N_C QCD
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• QCD Evolutions of Twist-3 Chirality-Odd Operators