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Polynomiality of helicity off-forward distribution functions in the chiral quark-soliton model

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arxiv hep-ph/0303166 v1 pith:NZ4EZES4 submitted 2003-03-19 hep-ph

classification hep-ph
keywords distributionfunctionsmodeloff-forwardpolynomialitychiralhelicityproperty
verification ladder T0 review T1 audit T2 compute T3 formal
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The polynomiality condition -- i.e. the property that Mellin moments of off-forward distribution functions are even polynomials in the skewedness parameter -- is a demanding check of consistency for model approaches. We demonstrate that the helicity off-forward distribution functions in the chiral quark-soliton model satisfy the polynomiality property. The proof contributes to the demonstration that the description of off-forward distribution functions in the model is consistent.

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  1. Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Derives the NLO (1/Nc) chiral-odd GPDs in the pion mean-field picture, proves polynomiality and sum rules, and gives gradient-expansion estimates partially matching lattice QCD.

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