Polynomiality of helicity generalized parton distributions in the chiral quark-soliton model

The polynomiality condition, i.e., the property that Mellin moments of generalized parton distributions are even polynomials in the skewedness parameter xi, is a demanding check of consistency for model approaches. We demonstrate that the helicity generalized parton distributions in the chiral quark-soliton model satisfy the polynomiality property. The proof contributes to the demonstration that the description of generalized parton distributions in the model is consistent.