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Chiral-odd generalized parton distributions in the large-Nc limit of QCD: Next-to-leading-order contributions

June-Young Kim*

  • *Contact author: jun-young.kim@polytechnique.edu
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Phys. Rev. D 112, 074032 – Published 24 October, 2025

DOI: https://doi.org/10.1103/qpzb-1skm

Abstract

We investigate the nucleon’s chiral-odd generalized parton distribution functions (GPDs) in the large-Nc limit of quantum chromodynamics (QCD). Extending previous work [Phys. Rev. D 111, 074007 (2025)] on the leading-order contribution in the 1/Nc expansion, we focus on the next-to-leading-order contributions and provide a complete set of flavor-singlet and flavor-non-singlet chiral-odd GPDs. This study includes the derivation of the spin-flavor structure of the baryon matrix element of the chiral-odd operator, the proof of the polynomiality property and associated sum rules, and numerical estimates based on the gradient expansion. The spin-flavor structure of the nucleon matrix element is interpreted through a multipole expansion in the transverse momentum transfer, leading to the definition of multipole mean-field GPDs. Using these GPDs as the basis of our analysis, we take their mth moments and demonstrate the polynomiality property within the mean-field framework, making use of discrete symmetries in the proof. In particular, the first moments (m=1) of the GPDs are related to the nucleon tensor form factors, as generally required. By performing a gradient expansion, we compute the chiral-odd GPDs and present numerical estimates. Our results show reasonable agreement with lattice QCD predictions.

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Chiral-odd generalized parton distributions in the large-Nc limit of QCD: Spin-flavor structure, polynomiality, and sum rules

June-Young Kim and Christian Weiss
Phys. Rev. D 111, 074007 (2025)

Article Text

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Phys. Rev. D 112, 074032– Published 24 October, 2025
  • Received 29 June 2025
  • Accepted 26 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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