Leading-twist to higher-twist generalized parton distributions of the pseudoscalar mesons at non-zero skewness
Abstract
We investigate the multidimensional partonic structure of spin-0 mesons, specifically the pion and the kaon, by evaluating their complete set of eight generalized parton distributions (GPDs) up to twist-4. Utilizing the light-front quark model (LFQM) with the Brodsky-Huang-Lepage (BHL) prescription, we compute these distributions in the kinematically rich non-zero skewness (ξ≠ 0) domain, strictly within the DGLAP region, x ∈ [ξ, 1]. To construct a three-dimensional tomographic picture, we perform Fourier transforms of the momentum-space GPDs to obtain the impact parameter dependent parton distribution functions (IPDPDFs) in the transverse plane and the corresponding diffraction patterns in the longitudinal coordinate space. The numerical results explicitly reveal the consequences of SU(3) flavor symmetry breaking in the LFQM, as the strange quark in the kaon dynamically shifts spatial localizations compared to the lighter up quarks. We also observe that while higher-twist correlations exhibit massive amplitude scaling in the pion, they are heavily suppressed by the larger macroscopic mass of the kaon.
Related
- Generalized parton distributions of the nucleon in the chiral quark soliton model: Sum over all quark states at nonzero skewness and momentum transfer
- Extraction of the pion unpolarized quark generalized parton distribution at zero skewness from charge form factors
- Collinear matching for leading power gluon transverse momentum distributions
- Constraints on pion parton distributions at small x from leading-neutron electroproduction data
- Generalized eigenstate thermalization beyond leading order in 2D large c CFTs
BibTeX
@misc{jebarson2026leadingtwist,
title = {{Leading-twist to higher-twist generalized parton distributions of the pseudoscalar mesons at non-zero skewness}},
author = {Abi Jebarson A and Navpreet Kaur and Harleen Dahiya},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.00503},
eprint = {2607.00503},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.00503},
}
RIS
TY - UNPB
TI - Leading-twist to higher-twist generalized parton distributions of the pseudoscalar mesons at non-zero skewness
AU - Abi Jebarson A
AU - Navpreet Kaur
AU - Harleen Dahiya
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2607.00503
UR - https://arxiv.org/abs/2607.00503
AB - We investigate the multidimensional partonic structure of spin-0 mesons, specifically the pion and the kaon, by evaluating their complete set of eight generalized parton distributions (GPDs) up to twist-4. Utilizing the light-front quark model (LFQM) with the Brodsky-Huang-Lepage (BHL) prescription, we compute these distributions in the kinematically rich non-zero skewness (ξ≠ 0) domain, strictly within the DGLAP region, x ∈ [ξ, 1]. To construct a three-dimensional tomographic picture, we perform Fourier transforms of the momentum-space GPDs to obtain the impact parameter dependent parton distribution functions (IPDPDFs) in the transverse plane and the corresponding diffraction patterns in the longitudinal coordinate space. The numerical results explicitly reveal the consequences of SU(3) flavor symmetry breaking in the LFQM, as the strange quark in the kaon dynamically shifts spatial localizations compared to the lighter up quarks. We also observe that while higher-twist correlations exhibit massive amplitude scaling in the pion, they are heavily suppressed by the larger macroscopic mass of the kaon.
ER -