String-based parametrization of nucleon GPDs at any skewness: a comparison to lattice QCD
arXiv:2404.13245 · doi:10.1103/PhysRevD.110.114016
Abstract
We introduce a string-based parametrization for nucleon quark and gluon generalized parton distributions (GPDs) valid at all skewness values. The conformal moments of the GPDs are expressed as sums of the spin-j nucleon A-form factor, and the skewness-dependent spin-j nucleon D-form factor. This representation, which fulfills the polynomiality condition (due to Lorentz invariance) and does not rely on model-specific assumptions, is derived from t-channel string exchanges in AdS spaces. The spin-j nucleon D-form factor is closely related to the the spin-j nucleon A-form factor. We use the Mellin moments from empirical parton distributions to model the spin-j nucleon A-form factors. Using only five Regge slope parameters, fixed from the electromagnetic and gravitational form factors, our string-based parametrization generates accurate singlet, non-singlet, isovector, and flavor-separated nucleon quark GPDs, along with symmetric nucleon gluon GPDs from their Mellin-Barnes integral representations. Our isovector nucleon quark GPD is in agreement with existing lattice data. Our string-based parametrization should facilitate the empirical extraction and global analysis of nucleon GPDs in exclusive processes, bypassing the deconvolution challenge.
18 pages, 7 figures, and 1 Table; v2 references added; v3 accepted version to Physical Review D
References in corpus (68)
- Parton distributions for the LHC
- 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
- Hard Exclusive Reactions and the Structure of Hadrons
- Parton Physics on Euclidean Lattice
- Scaling Limit of Deeply Virtual Compton Scattering
- Off-Forward Parton Distributions
- Electron-Ion Collider in China
- Skewed and double distributions in pion and nucleon
- Asymmetric Gluon Distributions and Hard Diffractive Electroproduction
- Quasi-PDFs, momentum distributions and pseudo-PDFs
- Deeply virtual electroproduction of photons and mesons on the nucleon : leading order amplitudes and power corrections
- Nucleon Generalized Parton Distributions from Full Lattice QCD
- Nucleon Form Factors from Generalized Parton Distributions
- Double distributions and evolution equations
- Large-Momentum Effective Theory
- The role of the quark and gluon GPDs in hard vector-meson electroproduction
- Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
- Hard exclusive electroproduction of two pions and their resonances
- GPD phenomenology and DVCS fitting - Entering the high-precision era
- An attempt to understand exclusive pi+ electroproduction
- Deeply virtual Compton scattering at small x_B and the access to the GPD H
- Symmetries and structure of skewed and double distributions
- Vector meson electroproduction at small Bjorken-x and generalized parton distributions
- Evolution and models for skewed parton distributions
- Off-forward quark distributions of the nucleon in the large N_c limit
- A Study of Off-Forward Parton Distributions
- Universality of Generalized Parton Distributions in Light-Front Holographic QCD
- Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
- Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
- Generalized parton distributions in AdS/QCD
- Proton and neutron electromagnetic form factors from lattice QCD
- Diffractive photoproduction of and using holographic QCD: gravitational form factors and GPD of gluons in the proton
- Linking generalized parton distributions to constituent quark models
- Helicity skewed quark distributions of the nucleon and chiral symmetry
- Pion generalized parton distribution from lattice QCD
- Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes
- Gluon gravitational structure of hadrons of different spin
- Gravitational form factors of the proton from lattice QCD
- Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass
- Generalized parton distributions and transverse densities in a light-front quark-diquark model for the nucleons
- Generalized Parton Distributions for the Proton in AdS/QCD
- Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- near threshold in holographic QCD: A and D gravitational form factors
- The deconvolution problem of deeply virtual Compton scattering
- Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks
- Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- Chiral-odd generalized parton distributions for proton in a light-front quark-diquark model
- Generalized parton distributions and composite constituent quarks
- Dual parametrization of GPDs versus the double distribution Ansatz
- Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO
- Generalized parton distributions through universal moment parameterization: zero skewness case
- Generalized parton distributions through universal moment parameterization: non-zero skewness case
- Helicity-dependent generalized parton distributions for nonzero skewness
- An introductory lecture on Generalised Parton Distributions
- Dual parametrization of generalized parton distributions in two equivalent representations
- Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
- GPDs at non-zero skewness in ADS/QCD model
- Electromagnetic form factors of the nucleon from lattice QCD
- Systematic Improvement of -dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
- NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
- Generalized Parton Distributions: confining potential effects within AdS/QCD
- Parametrization of GPDs from t-channel string exchange in AdS spaces
- Polarized gluon distribution in the proton from holographic light-front QCD
- Hadronic structure on the light-front VI. Generalized parton distributions of unpolarized hadrons
Cited by in corpus (6)
- Parametrization of GPDs from t-channel string exchange in AdS spaces
- String-based axial and helicity-flip GPDs: a comparison to lattice QCD
- Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
- Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
- Rapidity-Dependent Spin Decomposition of the Nucleon
- Conformal moments of the two-loop coefficient functions in DVCS