QCD Factorization of Quasi Generalized Gluon Distributions
arXiv:2212.08238 · doi:10.1007/JHEP04(2023)001
Abstract
We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add ghost contributions for the factorization of quasi gluon GPDs in order to obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that the mixing pattern of the nonlocal operators in quasi gluon GPDs is the same as local operators, i.e., the nonlocal operators considered are mixed with gauge-invariant operators, BRST-variation operators and operators involving EOM operator. The factorization relations are obtained for all quasi gluon GPDs. Taking the forward limit, we also obtain the relations between quasi gluon PDFs and twist-2 PDFs.
arXiv comment23 pages, 5 figures, published version
References in corpus (26)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Generalized Parton Distributions
- Deeply Virtual Compton Scattering
- Nonforward Parton Distributions
- Unraveling hadron structure with generalized parton distributions
- Large-Momentum Effective Theory
- Extracting Parton Distribution Functions from Lattice QCD Calculations
- Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
- One-Loop Matching for Parton Distributions: Non-Singlet Case
- Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
- Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
- Pion generalized parton distribution from lattice QCD
- One-loop matching for transversity generalized parton distribution
- On the Evolution Kernels of Twist 2 Light-Ray Operators for Unpolarized and Polarized Deep Inelastic Scattering
- Gluon quasidistribution function at one loop
- Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
- Physics of Gluon Helicity Contribution to Proton Spin
- Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
- Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
- Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- Generalized Parton Distributions: visions, basics, and realities
- Quasi parton distribution functions at NNLO: flavor non-diagonal quark contributions
- The Gluon Distribution Function and Factorization in Feynman Gauge
- QCD Factorization of Quasi Generalized Quark Distributions