QCD factorization for chiral-odd parton quasi- and pseudo-distributions

Abstract

We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions $h_L(x)$ and $e(x)$, and also the twist-two transversity distribution $\delta q(x)$. The corresponding factorized expressions are derived in terms of the twist-two and twist-three collinear distributions to one-loop accuracy. The results are presented both in position space, as the factorization theorem for Ioffe-time distributions, and in momentum space, for quasi- and pseudo-distributions. We demonstrate that the twist-two part of the $h_L$ quasi(pseudo)-distribution can be separated from the twist-three part by virtue of an exact Jaffe-Ji-like relation.

arXiv comment23 pages, 1 figure

References in corpus (39)

• Time-reversal odd distribution functions in leptoproduction
• Parton Physics on Euclidean Lattice
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Large-Momentum Effective Theory
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Nucleon structure functions from lattice operator product expansion
• Exclusive processes in position space and the pion distribution amplitude
• Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Transversity parton distribution functions from lattice QCD
• Nonperturbative Evolution of Parton Quasi-Distributions
• Scale dependence of twist-three contributions to single spin asymmetries
• Ioffe-time distributions instead of parton momentum distributions in description of deep inelastic scattering
• Power corrections and renormalons in parton quasi-distributions
• Three-loop anomalous dimension of the heavy-light quark current in HQET
• Parton Distribution Functions from Ioffe time pseudo-distributions
• One-loop evolution of parton pseudo-distribution functions on the lattice
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• Two-hadron semi-inclusive production including subleading twist
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• Q^2 Evolution of Chiral-Odd Twist-3 Distributions h_L(x, Q^2) and e(x, Q^2) in Large-N_c QCD
• Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ boson production data with TMD evolution
• Model independent determination of the light-cone wave functions for exclusive processes
• Lattice continuum-limit study of nucleon quasi-PDFs
• New insights on proton structure from lattice QCD: the twist-3 parton distribution function $g_T(x)$
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• Investigation of the Second Moment of the Nucleon's g1 and g2 Structure Functions in Two-Flavor Lattice QCD
• Collinear matching for Sivers function at next-to-leading order
• N${}^3$LO extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ data
• Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• One-loop matching for the twist-3 parton distribution $g_T(x)$
• Fundamental Properties of the Proton in Light-Front Zero Modes
• Matching of transverse momentum dependent distributions at twist-3
• Parton distribution function for the gluon condensate
• QCD factorization for twist-three axial-vector parton quasidistributions
• Renormalization of twist-four operators in light-cone gauge
• Double-Spin Asymmetry A_{LT} for Polarized Drell-Yan Process in p\bar{p} Collisions: Wandzura-Wilczek Contribution

Cited by in corpus (7)

• 50 Years of Quantum Chromodynamics
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Definition and evolution of transverse momentum dependent distribution of twist-three
• Transverse momentum moments
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach