Q^2 Evolution of Chiral-Odd Twist-3 Distributions h_L(x, Q^2) and e(x, Q^2) in Large-N_c QCD

Abstract

We prove that the twist-3 chiral-odd parton distributions obey simple Gribov-Lipatov-Altarelli-Parisi evolution equations in the limit $N_c\to \infty$ and give analytic results for the corresponding anomalous dimensions. To this end we introduce an evolution equation for the corresponding three-particle twist-3 parton correlation functions and find an exact analytic solution. For large values of n (operator dimension) we are further able to collect all corrections subleading in N_c, so our final results are valid to $O(1/N_c^2\cdot \ln (n)/n)$ accuracy.

10 pages, 1 Postscript figure, revtex

References in corpus (2)

• Measurements of the Proton and Deuteron Spin Structure Function g2 and Asymmetry A2
• Q^2-Evolution of Nucleon's Chiral-Odd Twist-3 Structure Function: h_L(x,Q^2)

Cited by in corpus (55)

• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• The Uses of Conformal Symmetry in QCD
• SU(N) gauge theories at large N
• Baryon Distribution Amplitudes in QCD
• Large-Momentum Effective Theory
• Integrability of three-particle evolution equations in QCD
• Spin Physics and Polarized Structure Functions
• Bounds on transverse momentum dependent distribution and fragmentation functions
• Integrability in QCD and beyond
• Fine structure of spectrum of twist-three operators in QCD
• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• 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
• A Complete Basis of Helicity Operators for Subleading Factorization
• Polarized Structure Functions in QCD
• 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 $e(x)$
• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Subleading Power Factorization with Radiative Functions
• The chirally-odd twist-3 distribution e(x)
• The chirally-odd twist-3 distribution function e(x) in the chiral quark-soliton model
• Evolution of transverse momentum dependent distribution and fragmentation functions
• Transverse-momentum dependent parton distribution functions beyond leading twist in quark models
• Violation of Sum Rules for Twist-3 Parton Distributions in QCD
• Evolution of twist-three parton distributions in QCD beyond the large N_c limit
• $Q^2$ evolution of chiral-odd twist-3 distribution $e(x,Q^2)$
• Pi N sigma-term and chiral-odd twist-3 distribution function e(x) of the nucleon in the chiral quark soliton model
• Chiral Odd Structure Functions from a Chiral Soliton
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• Chiral-odd distribution functions 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
• $CP$-odd gluonic operators in QCD spin physics
• Evolution equation for the higher-twist B-meson distribution amplitude
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Renormalization of twist-four operators in light-cone gauge
• A_{LT} in the polarized Drell-Yan process at RHIC and HERA energies
• QCD factorization for chiral-odd parton quasi- and pseudo-distributions
• 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
• 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
• Parton interactions in the Bjorken limit of QCD
• Spin Structure Function g_2(x,Q^2) and Twist-3 Operators in large-N_C QCD
• 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
• QCD Evolutions of Twist-3 Chirality-Odd Operators
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• Twist-3 polarized structure functions
• A_{LT} in the Nucleon-Nucleon Polarized Drell-Yan Process
• Twist-3 effects in polarized Drell-Yan and semi-inclusive DIS
• Transverse momentum dependent quark distributions and polarized Drell-Yan processes