Evolution of twist-3 multiparton correlation functions relevant to single transverse-spin asymmetry

2008/11/30 by Zhong-Bo Kang, Jian-Wei Qiu · 111 citations
Mathematics · Physics and Astronomy · #Algorithm #Asymmetry #Correlation #Evolution equation #Factorization #Geometry #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Spin (aerodynamics) #Statistical physics #Twist #hep-ph

paper · pdf · doi:10.1103/physrevd.79.016003

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 79(1) (American Physical Society) · 28 pages, 17 figures, new materials and references added

arxiv created 2008/12/03 · openalex publication_date 2009/01/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct two sets of twist-3 correlation functions that are responsible for generating the novel single transverse-spin asymmetry in the QCD collinear factorization approach. We derive evolution equations for these universal three-parton correlation functions. We calculate evolution kernels relevant to the gluonic pole contributions to the asymmetry at the order of \ensuremathα_s. We find that all evolution kernels are infrared safe as they should be and have a lot in common with the Dokshitzer-Gribov-Lipatov-Alterelli-Parisi evolution kernels of unpolarized parton distributions. By solving the evolution equations, we explicitly demonstrate the factorization scale dependence of these twist-3 correlation functions.

Citations

• Integrability of Three-Particle Evolution Equations in QCD
• Fragmentation of transversely polarized quarks probed in transverse momentum distributions
• Master formula for twist-3 soft-gluon-pole mechanism to single transverse-spin asymmetry
• Asymptotic freedom in parton language
• Single-transverse spin asymmetry in dijet correlations at hadron colliders
• Single transverse-spin asymmetry in Drell-Yan production at large and moderate transverse momentum
• Single spin asymmetries in heavy quark and antiquark productions
• Single transverse spin asymmetry for large-pT pion production in semi-inclusive deep inelastic scattering
• Universal structure of twist-3 soft-gluon-pole cross sections for single transverse-spin asymmetry
• Measurement of Transverse Single-Spin Asymmetries for Dijet Production in Proton-Proton Collisions ats=200 GeV
• Single transverse-spin asymmetry in semi-inclusive deep inelastic scattering
• Cross Sections and Transverse Single-Spin Asymmetries in Forward Neutral-Pion Production from Proton Collisions ats=200 GeV
• Single spin asymmetries in hadron-hadron collisions
• Evidence for a Single-Spin Azimuthal Asymmetry in Semi-inclusive Pion Electroproduction
• Single-transverse-spin asymmetries: From deep inelastic scattering to hadronic collisions
• Single-spin production asymmetries from the hard scattering of pointlike constituents

Cited by

• Lepton-Jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• One-loop corrections of single spin asymmetries in semi-inclusive DIS
• Single Transverse Spin Asymmetries at Parton Level
• Factorization and its breaking in dijet single transverse spin asymmetries in pp collisions